Science NCERT Grade 10, Chapter 12, Electricity is all about the flow of electric current in the electric circuits and its related concepts. The chapter lays emphasis on the understanding of electric current and its direction of flow in circuits. Additionally, the SI unit of electric charge and an electric current is mentioned in the chapter. Also, a schematic diagram of an electric circuit comprising a cell, electric bulb, ammeter and plug key is shown. Explanation of the flow of charges inside the wire is given in the chapter. The concepts such as electric potential and potential difference along with their definitions and SI units are explained using circuit diagrams and numerical. Some symbols of commonly used components in the electric circuits are shown in a tabulated form. A detailed explanation of the Ohm's law in addition to the mathematical expression of the relationship between potential difference and current is provided. The term Ohm is defined in the chapter, Electricity. Further, the factors on which the resistance of a conductor depends are mentioned and explained using activities. Electrical resistivity of the material of conductor is defined. The two methods of joining the resistors together are discussed with proper electric circuits:
 Resistors in series
 Resistors in parallel
The value of the combination of resistance in both cases are derived. In addition to this, the chapter, Electricity lays emphasis on the heating effect of electric current wherein, the numerical based on the above concepts are also included. Practical applications of heating effect of electric current i.e Joule’s heating in electrical appliances, electric bulb and electric circuits are explained in the chapter. Last part of the chapter, Electricity talks about the concept of electric power, its formula and SI unit.
The following topics are covered in the chapter, Electricity
 Electric Current and Circuit
 Electric Potential and Potential Difference
 Circuit Diagram
 Ohm's law
 Factors on which The Resistance of a Conductor Depends
 Resistance of a System of Resistors
 Heating Effects of Electric Current
Page No 200:
Question 1:
What does an electric circuit mean?
Answer:
An electric circuit consists of electric devices, switching devices, source of electricity, etc. that are connected by conducting wires.
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Question 2:
Define the unit of current.
Answer:
The unit of electric current is ampere (A). 1 A is defined as the flow of 1 C of charge through a wire in 1 s.
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Question 3:
Calculate the number of electrons constituting one coulomb of charge.
Answer:
One electron possesses a charge of 1.6 × 10^{−19} C, i.e., 1.6 × 10^{−19} C of charge is contained in 1 electron.
∴ 1 C of charge is contained in
Therefore, electrons constitute one coulomb of charge.
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Page No 202:
Question 1:
Name a device that helps to maintain a potential difference across a conductor.
Answer:
A source of electricity such as cell, battery, power supply, etc. helps to maintain a potential difference across a conductor.
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Question 2:
What is meant by saying that the potential difference between two points is 1 V?
Answer:
If 1 J of work is required to move a charge of amount 1 C from one point to another, then it is said that the potential difference between the two points is 1 V.
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Question 3:
How much energy is given to each coulomb of charge passing through a 6 V battery?
Answer:
The energy given to each coulomb of charge is equal to the amount of work required to move it. The amount of work is given by the expression,
Potential difference =
Where,
Charge = 1 C
Potential difference = 6 V
Therefore, 6 J of energy is given to each coulomb of charge passing through a battery of 6 V.
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Page No 209:
Question 1:
On what factors does the resistance of a conductor depend?
Answer:
The resistance of a conductor depends upon the following factors:
(a) Length of the conductor
(b) Crosssectional area of the conductor
(c) Material of the conductor
(d) Temperature of the conductor
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Question 2:
Will current flow more easily through a thick wire or a thin wire of the same material, when connected to the same source? Why?
Answer:
Resistance of a wire,
Where,
= Resistivity of the material of the wire
l = Length of the wire
A = Area of crosssection of the wire
Resistance is inversely proportional to the area of crosssection of the wire.
Thicker the wire, lower is the resistance of the wire and viceversa. Therefore, current can flow more easily through a thick wire than a thin wire.
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Question 3:
Let the resistance of an electrical component remains constant while the potential difference across the two ends of the component decreases to half of its former value. What change will occur in the current through it?
Answer:
The change in the current flowing through the component is given by Ohm’s law as,
V = IR
Where,
Resistance of the electrical component = R
Potential difference = V
Current = I
The potential difference is reduced by half, keeping resistance constant.
Let the new resistance be R' and the new amount of current be I '.
Therefore, from Ohm’s law, we obtain the amount of new current.
Therefore, the amount of current flowing through the electrical component is reduced by half.
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Question 4:
Why are coils of electric toasters and electric irons made of an alloy rather than a pure metal?
Answer:
The resistivity of an alloy is higher than the pure metal. Moreover, at high temperatures, the alloys do not melt readily. Hence, the coils of heating appliances such as electric toasters and electric irons are made of an alloy rather than a pure metal.
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Question 5:
Use the data in Table 12.2 to answer the following −
Table 12.2 Electrical resistivity of some substances at 20°C
− 
Material 
Resistivity (Ω m) 
Conductors 
Silver 
1.60 × 10^{−8} 
Copper 
1.62 × 10^{−8} 

Aluminium 
2.63 × 10^{−8} 

Tungsten 
5.20 × 10^{−8} 

Nickel 
6.84 × 10^{−8} 

Iron 
10.0 × 10^{−8} 

Chromium 
12.9 × 10^{−8} 

Mercury 
94.0 × 10^{−8} 

Manganese 
1.84 × 10^{−6} 

Constantan (alloy of Cu and Ni) 
49 × 10^{−6} 

Alloys 
Manganin (alloy of Cu, Mn and Ni) 
44 × 10^{−6} 
Nichrome (alloy of Ni, Cr, Mn and Fe) 
100 × 10^{−6} 

Glass 
10^{10} − 10^{14} 

Insulators 
Hard rubber 
10^{13} − 10^{16} 
Ebonite 
10^{15} − 10^{17} 

Diamond 
10^{12} − 10^{13} 

Paper (dry) 
10^{12} 
(a) Which among iron and mercury is a better conductor?
(b) Which material is the best conductor?
Answer:
(a) Resistivity of iron =
Resistivity of mercury =
Resistivity of mercury is more than that of iron. This implies that iron is a better conductor than mercury.
(b) It can be observed from Table 12.2 that the resistivity of silver is the lowest among the listed materials. Hence, it is the best conductor.
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Page No 213:
Question 1:
Draw a schematic diagram of a circuit consisting of a battery of three cells of 2 V each, a 5 Ω resistor, an 8 Ω resistor, and a 12 Ω resistor, and a plug key, all connected in series.
Answer:
Three cells of potential 2 V, each connected in series, is equivalent to a battery of potential 2 V + 2 V + 2 V = 6V. The following circuit diagram shows three resistors of resistances 5 Ω, 8 Ω and 12 Ω respectively connected in series and a battery of potential 6 V.
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Question 2:
Redraw the circuit of question 1, putting in an ammeter to measure the current through the resistors and a voltmeter to measure potential difference across the 12 Ω resistor. What would be the readings in the ammeter and the voltmeter?
Answer:
To measure the current flowing through the resistors, an ammeter should be connected in the circuit in series with the resistors. To measure the potential difference across the 12 Ω resistor, a voltmeter should be connected parallel to this resistor, as shown in the following figure.
The resistances are connected in series.
Ohm’s law can be used to obtain the readings of ammeter and voltmeter. According to Ohm’s law,
V = IR,
Where,
Potential difference, V = 6 V
Current flowing through the circuit/resistors = I
Resistance of the circuit, R =
= 0.24 A
Potential difference across 12 Ω resistor =
Current flowing through the 12 Ω resistor, I = 0.24 A
Therefore, using Ohm’s law, we obtain
Therefore, the reading of the ammeter will be 0.24 A.
The reading of the voltmeter will be 2.88 V.
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Page No 216:
Question 1:
Judge the equivalent resistance when the following are connected in parallel − (a) 1 Ω and 10^{6}Ω, (b) 1 Ω and 10^{3}Ω and 10^{6}Ω.
Answer:
(a) When 1 Ω and 10^{6 }Ω are connected in parallel:
Let R be the equivalent resistance.
Therefore, equivalent resistance 1 Ω
(b) When 1 Ω, , and are connected in parallel:
Let R be the equivalent resistance.
Therefore, equivalent resistance = 0.999 Ω
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Question 2:
An electric lamp of 100 Ω, a toaster of resistance 50 Ω, and a water filter of resistance 500 Ω are connected in parallel to a 220 V source. What is the resistance of an electric iron connected to the same source that takes as much current as all three appliances, and what is the current through it?
Answer:
Resistance of electric lamp,
Resistance of toaster,
Resistance of water filter,
Voltage of the source, V = 220 V
These are connected in parallel, as shown in the following figure.
Let R be the equivalent resistance of the circuit.
According to Ohm’s law,
V = IR
Where,
Current flowing through the circuit = I
7.04 A of current is drawn by all the three given appliances.
Therefore, current drawn by an electric iron connected to the same source of potential 220 V = 7.04 A
Let be the resistance of the electric iron. According to Ohm’s law,
Therefore, the resistance of the electric iron is and the current flowing through it is 7.04 A.
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Question 3:
What are the advantages of connecting electrical devices in parallel with the battery instead of connecting them in series?
Answer:
There is no division of voltage among the appliances when connected in parallel. The potential difference across each appliance is equal to the supplied voltage.
The total effective resistance of the circuit can be reduced by connecting electrical appliances in parallel.
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Question 4:
How can three resistors of resistances 2 Ω, 3 Ω and 6 Ω be connected to give a total resistance of (a) 4 Ω, (b) 1 Ω?
Answer:
There are three resistors of resistances 2 Ω, 3 Ω, and 6 Ω respectively.
(a) The following circuit diagram shows the connection of the three resistors.
Here, 6 Ω and 3 Ω resistors are connected in parallel.
Therefore, their equivalent resistance will be given by
This equivalent resistor of resistance 2 Ω is connected to a 2 Ω resistor in series.
Therefore, equivalent resistance of the circuit = 2 Ω + 2 Ω =
Hence, the total resistance of the circuit is .

The following circuit diagram shows the connection of the three resistors.
All the resistors are connected in series. Therefore, their equivalent resistance will be given as
Therefore, the total resistance of the circuit is.
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Question 5:
What is (a) the highest, (b) the lowest total resistance that can be secured by combinations of four coils of resistance 4 Ω, 8 Ω, 12 Ω, 24 Ω?
Answer:
There are four coils of resistances,, 12 Ω, and 24 Ω respectively.
(a) If these coils are connected in series, then the equivalent resistance will be the highest, given by the sum 4 + 8 + 12 + 24 =
(b) If these coils are connected in parallel, then the equivalent resistance will be the lowest, given by
Therefore, 2 Ω is the lowest total resistance.
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Page No 218:
Question 1:
Why does the cord of an electric heater not glow while the heating element does?
Answer:
The heating element of an electric heater is a resistor. The amount of heat produced by it is proportional to its resistance. The resistance of the element of an electric heater is very high. As current flows through the heating element, it becomes too hot and glows red. On the other hand, the resistance of the cord is low. It does not become red when current flows through it.
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Question 2:
Compute the heat generated while transferring 96000 coulomb of charge in one hour through a potential difference of 50 V.
Answer:
The amount of heat (H) produced is given by the Joule’s law of heating as
Where,
Voltage, V = 50 V
Time, t = 1 h = 1 × 60 × 60 s
Amount of current,
Therefore, the heat generated is .
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Question 3:
An electric iron of resistance 20 Ω takes a current of 5 A. Calculate the heat developed in 30 s.
Answer:
The amount of heat (H) produced is given by the joule’s law of heating as
Where,
Current, I = 5 A
Time, t = 30 s
Voltage, V = Current × Resistance = 5 × 20 = 100 V
Therefore, the amount of heat developed in the electric iron is.
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Page No 220:
Question 1:
What determines the rate at which energy is delivered by a current?
Answer:
The rate of consumption of electric energy in an electric appliance is called electric power. Hence, the rate at which energy is delivered by a current is the power of the appliance.
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Page No 220:
Question 2:
An electric motor takes 5 A from a 220 V line. Determine the power of the motor and the energy consumed in 2 h.
Answer:
Power (P) is given by the expression,
Where,
Voltage, V = 220 V
Current, I = 5 A
Energy consumed by the motor = Pt
Where,
Time, t = 2 h = 2 × 60 × 60 = 7200 s
P = 1100 × 7200 = 7.92 × 10^{6} J
Therefore, power of the motor = 1100 W
Energy consumed by the motor = 7.92 × 10^{6} J
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Page No 221:
Question 1:
A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R', then the ratio R/R' is −
(a)
(b)
(c) 5
(d) 25
Answer:
(d) Resistance of a piece of wire is proportional to its length. A piece of wire has a resistance R. The wire is cut into five equal parts.
Therefore, resistance of each part =
All the five parts are connected in parallel. Hence, equivalent resistance (R’) is given as
Therefore, the ratio is 25.
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Question 2:
Which of the following terms does not represent electrical power in a circuit?
(a) I^{2}R
(b) IR^{2}
(c) VI
(d)
Answer:
(b) Electrical power is given by the expression, P = VI … (i)
According to Ohm’s law, V = IR … (ii)
Where,
V = Potential difference
I = Current
R = Resistance
From equation (i), it can be written
P = (IR) × I
From equation (ii), it can be written
Power P cannot be expressed as IR^{2}.
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Question 3:
An electric bulb is rated 220 V and 100 W. When it is operated on 110 V, the power consumed will be −
(a) 100 W
(b) 75 W
(c) 50 W
(d) 25 W
Answer:
(d)Energy consumed by an appliance is given by the expression,
Where,
Power rating, P = 100 W
Voltage, V = 220 V
Resistance, R =
The resistance of the bulb remains constant if the supply voltage is reduced to 110 V. If the bulb is operated on 110 V, then the energy consumed by it is given by the expression for power as
Therefore, the power consumed will be 25 W.
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Question 4:
Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be −
(a) 1:2
(b) 2:1
(c) 1:4
(d) 4:1
Answer:
(c) The Joule heating is given by, H = i^{2}Rt
Let, R be the resistance of the two wires.
The equivalent resistance of the series connection is R_{S} = R + R = 2R
If V is the applied potential difference, then it is the voltage across the equivalent resistance.
The heat dissipated in time t is,
The equivalent resistance of the parallel connection is R_{P} =
V is the applied potential difference across this R_{P}.
The heat dissipated in time t is,
So, the ratio of heat produced is,
Note: H R also H i^{2} and H t. In this question, t is same for both the circuit. But the current through the equivalent resistance of both the circuit is different. We could have solved the question directly using H R if in case the current was also same. As we know the voltage and resistance of the circuits, we have calculated i in terms of voltage and resistance and used in the equation H = i^{2}Rt to find the ratio.
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Question 5:
How is a voltmeter connected in the circuit to measure the potential difference between two points?
Answer:
To measure the potential difference between two points, a voltmeter should be connected in parallel to the points.
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Question 6:
A copper wire has diameter 0.5 mm and resistivity of 1.6 × 10^{−8} Ω m. What will be the length of this wire to make its resistance 10 Ω? How much does the resistance change if the diameter is doubled?
Answer:
Resistance (R) of a copper wire of length l and crosssection A is given by the expression,
Where,
Resistivity of copper,
Area of crosssection of the wire, A =
Diameter= 0.5 mm = 0.0005 m
Resistance, R = 10 Ω
Hence, length of the wire,
If the diameter of the wire is doubled, new diameter
Therefore, resistance
Therefore, the length of the wire is 122.7 m and the new resistance is
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Question 7:
The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below −
I (amperes ) 
0.5 
1.0 
2.0 
3.0 
4.0 
V (volts) 
1.6 
3.4 
6.7 
10.2 
13.2 
Plot a graph between V and I and calculate the resistance of that resistor.
Answer:
The plot between voltage and current is called IV characteristic. The voltage is plotted on xaxis and current is plotted on yaxis. The values of the current for different values of the voltage are shown in the given table.
V (volts) 
1.6 
3.4 
6.7 
10.2 
13.2 
I (amperes ) 
0.5 
1.0 
2.0 
3.0 
4.0 
The IV characteristic of the given resistor is plotted in the following figure.
The slope of the line gives the value of resistance (R) as,
Therefore, the resistance of the resistor is.
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Question 8:
When a 12 V battery is connected across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor.
Answer:
Resistance (R) of a resistor is given by Ohm’s law as,
Where,
Potential difference, V = 12 V
Current in the circuit, I = 2.5 mA =
Therefore, the resistance of the resistor is .
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Question 9:
A battery of 9 V is connected in series with resistors of 0.2 Ω, 0.3 Ω, 0.4 Ω, 0.5 Ω and 12 Ω, respectively. How much current would flow through the 12 Ω resistor?
Answer:
There is no current division occurring in a series circuit. Current flow through the component is the same, given by Ohm’s law as
Where,
R is the equivalent resistance of resistances. These are connected in series. Hence, the sum of the resistances will give the value of R.
R = 0.2 + 0.3 + 0.4 + 0.5 + 12 = 13.4 Ω
Potential difference, V = 9 V
Therefore, the current that would flow through the 12 Ω resistor is 0.671 A.
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Question 10:
How many 176 Ω resistors (in parallel) are required to carry 5 A on a 220 V line?
Answer:
For x number of resistors of resistance 176 Ω, the equivalent resistance of the resistors connected in parallel is given by Ohm’s law as
Where,
Supply voltage, V = 220 V
Current, I = 5 A
Equivalent resistance of the combination = R,given as
From Ohm’s law,
Therefore, four resistors of 176 Ω are required to draw the given amount of current.
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Question 11:
Show how you would connect three resistors, each of resistance 6 Ω, so that the combination has a resistance of (i) 9 Ω, (ii) 4 Ω.
Answer:
If we connect the resistors in series, then the equivalent resistance will be the sum of the resistors, i.e., 6 Ω + 6 Ω + 6 Ω = 18 Ω, which is not desired. If we connect the resistors in parallel, then the equivalent resistance will be
Hence, we should either connect the two resistors in series or parallel.
(i) Two resistors in parallel
Two 6 Ω resistors are connected in parallel. Their equivalent resistance will be
The third 6 Ω resistor is in series with 3 Ω. Hence, the equivalent resistance of the circuit is 6 Ω + 3 Ω = 9 Ω.
(ii) Two resistors in series
Two 6 Ω resistors are in series. Their equivalent resistance will be the sum
The third 6 Ω resistor is in parallel with 12 Ω. Hence, equivalent resistance will be
Therefore, the total resistance is.
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Question 12:
Several electric bulbs designed to be used on a 220 V electric supply line, are rated 10 W. How many lamps can be connected in parallel with each other across the two wires of 220 V line if the maximum allowable current is 5 A?
Answer:
Resistance R_{1} of the bulb is given by the expression,
Where,
Supply voltage, V = 220 V
Maximum allowable current, I = 5 A
Rating of an electric bulb
According to Ohm’s law,
V = I R
Where,
R is the total resistance of the circuit for x number of electric bulbs
Resistance of each electric bulb, Ω
Therefore, 110 electric bulbs are connected in parallel.
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Question 13:
A hot plate of an electric oven connected to a 220 V line has two resistance coils A and B, each of 24 Ω resistances, which may be used separately, in series, or in parallel. What are the currents in the three cases?
Answer:
Supply voltage, V = 220 V
Resistance of one coil, R =
(i) Coils are used separately
According to Ohm’s law,
Where,
is the current flowing through the coil
Therefore, 9.16 A current will flow through the coil when used separately.
(ii) Coils are connected in series
Total resistance,
According to Ohm’s law,
Where,
is the current flowing through the series circuit
Therefore, 4.58 A current will flow through the circuit when the coils are connected in series.
(iii) Coils are connected in parallel
Total resistance, is given as
According to Ohm’s law,
Where,
is the current flowing through the circuit
Therefore, 18.33 A current will flow through the circuit when coils are connected in parallel.
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Question 14:
Compare the power used in the 2 Ω resistor in each of the following circuits: (i) a 6 V battery in series with 1 Ω and 2 Ω resistors, and (ii) a 4 V battery in parallel with 12 Ω and 2 Ω resistors.
Answer:
(i) Potential difference, V = 6 V
1 Ω and 2 Ω resistors are connected in series. Therefore, equivalent resistance of the circuit, R = 1 + 2 = 3 Ω
According to Ohm’s law,
V = IR
Where,
I is the current through the circuit
This current will flow through each component of the circuit because there is no division of current in series circuits. Hence, current flowing through the 2 Ω resistor is. Power is given by the expression,
(ii) Potential difference, V = 4 V
12 Ω and 2 Ω resistors are connected in parallel. The voltage across each component of a parallel circuit remains the same. Hence, the voltage across 2 Ω resistor will be 4 V.
Power consumed by 2 Ω resistor is given by
Therefore, the power used by 2 Ω resistor is 8 W.
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Question 15:
Two lamps, one rated 100 W at 220 V, and the other 60 W at 220 V, are connected in parallel to electric mains supply. What current is drawn from the line if the supply voltage is 220 V?
Answer:
Both the bulbs are connected in parallel. Therefore, potential difference across each of them will be 220 V, because no division of voltage occurs in a parallel circuit.
Current drawn by the bulb of rating 100 W is given by,
Similarly, current drawn by the bulb of rating 60 W is given by,
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Question 16:
Which uses more energy, a 250 W TV set in 1 hr, or a 1200 W toaster in 10 minutes?
Answer:
Energy consumed by an electrical appliance is given by the expression,
Where,
Power of the appliance = P
Time = t
Energy consumed by a TV set of power 250 W in 1 h = 250 × 3600 = 9 × 10^{5} J
Energy consumed by a toaster of power 1200 W in 10 minutes = 1200 × 600
= 7.2× 10^{5} J
Therefore, the energy consumed by a 250 W TV set in 1 h is more than the energy consumed by a toaster of power 1200 W in 10 minutes.
Video Solution for chemical reactions and equations (Page: 222 , Q.No.: 16)
NCERT Solution for Class 10 science  chemical reactions and equations 222 , Question 16
Page No 222:
Question 17:
An electric heater of resistance 8 Ω draws 15 A from the service mains 2 hours. Calculate the rate at which heat is developed in the heater.
Answer:
Rate of heat produced by a device is given by the expression for power as
Where,
Resistance of the electric heater, R = 8 Ω
Current drawn, I = 15 A
Therefore, heat is produced by the heater at the rate of 1800 J/s.
Video Solution for chemical reactions and equations (Page: 222 , Q.No.: 17)
NCERT Solution for Class 10 science  chemical reactions and equations 222 , Question 17
Page No 222:
Question 18:
Explain the following.
(a) Why is the tungsten used almost exclusively for filament of electric lamps?
(b) Why are the conductors of electric heating devices, such as breadtoasters and electric irons, made of an alloy rather than a pure metal?
(c) Why is the series arrangement not used for domestic circuits?
(d) How does the resistance of a wire vary with its area of crosssection?
(e) Why are copper and aluminium wires usually employed for electricity transmission?
Answer:
(a) The melting point and resistivity of tungsten are very high. It does not burn readily at a high temperature. The electric lamps glow at very high temperatures. Hence, tungsten is mainly used as heating element of electric bulbs.
(b) The conductors of electric heating devices such as bread toasters and electric irons are made of alloy because resistivity of an alloy is more than that of metals. It produces large amount of heat.
(c) There is voltage division in series circuits. Each component of a series circuit receives a small voltage for a large supply voltage. As a result, the amount of current decreases and the device becomes hot. Hence, series arrangement is not used in domestic circuits.
(d) Resistance (R) of a wire is inversely proportional to its area of crosssection (A), i.e.,
(e) Copper and aluminium wires have low resistivity. They are good conductors of electricity. Hence, they are usually employed for electricity transmission.
Video Solution for chemical reactions and equations (Page: 222 , Q.No.: 18)
NCERT Solution for Class 10 science  chemical reactions and equations 222 , Question 18
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