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Syllabus

what is the meaning of quantisation of charge?

_{0}?A) n0/𝜀0, left B) n0/𝜀0, right C) 2n0/𝜀0, left D) 2n0/𝜀0, right

Difference between gravitational force and electrostatic force

Two point charges q

_{2}= 3 x 10^{-6}C and q_{1}= 5 x 10^{-6}C are located at (3 ,5,1,) and (1,3,2) m .find F12and F

_{21}using vector form of coulomb 's law . Also, find their magnitude.what is the dimensional formula of epsilon not?

What is d minimum electrical force between two charged particles 1m apart in free space? Explain how,

Two similarly and equally charged identical metal spheres A and B repel each other with a force of 0.000002 N. A third identical sphere C is touched with A and then placed at the mid point between A nd B. What is the net electric force on C?

_{x}= 5 A x+ 2 B where E is in NC^{-1 }and x in meter , A and B are constants with dimensions . taking A = 10 N C^{-1}m^{-1}and B = 5 NC^{-1}, calculate (i) the electric flux through the cube (ii) net charge enclosed within the cubeThree point charges of +2 microcoulomb,-3 microcoulomb and -3 microcoulomb are kept at the vertices A,B and C respectively of an equilateral triangle of side 20 cm.What should be the sign and magnitude of the charge to be placed at the mid point(M) of side BC so that the charge at A remains in equilibrium?

when a body becmes negatively charged , its mass

[a] decreases [b] increases

[c] remins the same [d] none of these

A charge q is placed at the center of the line joining two equal charges Q. Show that the system of three charges will be in equilibrium if q = -Q/4.

derive an expression for potential energy of an electric dipole in a uniform electric field .

An infinite number of charges each equal to q are placed along x axis at x=1 , x=2 , x=4, x=8 and so on . Find the electric field at the point where x=0 due to this setup of charges and what will be the electric field if inthe above setup the consecutive charges have opposite sign.?

what does q1+q2 =0 signify in electrostatics?

what is the direction of electric field at the surface of a charged conductor having charge density σ < 0.

difference between uniform and non-uniform electric fields.... plzz if possible draw diagrams too..!

Two point charges q and -q are placed at a distance d apart.What are the points at which resultant electric field is parallel to the line joining the two charges?

a gas is heated through 1 degree celsius in a closed vessel. its pressure is increased by 0.4%.the initial temperature of the gas is ????

A charge "q" is placed at the centre of the cube of side "l". What is the electric flux passing through each face of the cube?

Pls provide chart for values of Sin, Cos, Tan and Cot for specific values from 30 degrees to 360 degrees.

What is quantisation of charge?

Explain the formulae E = Sigma / Epsilon not.

E is the electric field vector.

Epsilon not is the specific inductive capacity or relative permittivity of vaccum.

Sigma = ? (doubt)

What are the limitations of Coulomb's Law ?

A pendulum bob of mass of 80 mg and carrying a charge of 2 X 10

^{-}^{8}C is at rest in a horizontal uniform electric field of 20,000 V/m. Find the tension in the thread of the pendulum and the angle it makes with the vertical.Take( g = 9.8ms

^{-2})^{6 }Nm^{2}/C.No links plsFour charges, each equal to Q are placed at the 4 corners of a square and a charge q is placed at the centre of the square. If the system is in equilibrium, then the value of q is?

17. A dialectric material slab of relative permittivity 3 is placed in a uniform electric field E

_{0}$\hat{i}$. Electric field inside the dielectric due to polarisation is(1) $\frac{{E}_{0}}{3}\hat{i}$ (2) $\frac{2{E}_{0}}{3}\hat{i}$

(3) $\frac{-{E}_{0}}{3}\hat{i}$ (4) $\frac{-2{E}_{0}}{3}$

two equal point charges A and B are R distance apart. A third point charge placed on the prependicular bisector at a distance 'd' from the center will experience maximum electrostatic force when

1. d = R/2 X 1.414

2 d = R/ 1.414

3. d = R 1.414

4. d = 2 X 1.414 R

Four charges are placed on corners of a square ABCD, A = Q, B = -2Q, C = +2Q & D = -Q having side of 5cm. If Q is one microcoulomb, then electric field intensity at centre will be

a) 1.02 x 10

^{7}N / C upwardsb) 2.04 x 10

^{7}N / C downwardsc) 2.04 x 10

^{7}N / C upwardsd) 1.02 x 10

^{7}N / C downwardsThree charges each equal to q are placed at the three corners of a square of side a. Find the electric field at the fourth corner.

+500 µC. What is its electric dipole moment? Calculate the electric field due to the dipole at a point on the axis distant 0.2 m from the centre of the dipole.q. Two point charges of +16 micro coulomb and -9 micro coulomb are placed 8 cm apart in air .Determine the position of the point at which the resultant field is zero .

what is the source charge and test charge

Two small balls having equal positive charge q coulomb are suspended by two insulating strings of equal length ' l ' meter from hook fixed to stand.The whole setup is taken in a satellite into sapce where there is no gravity. What is the angle between the two strings and the tension in each string?

Q.4. Gauss's law should be invalid, if

(a) there were magnetic monopoles

(b) the inverse square law were not exactly true

(c) the velocity of light were not a universal constant

(d) None of the above

an electric dipole of dipole moment 20 *10

^{-6}Cm is enclosed by a closed surface .what is the net flux coming out of the surface?1. Pollination

2. Xerox Copying

3. Chocolate Making

2 point charges at distance ' r ' in air exert a force ' F ' on each other, at what distance will these charges experience the same force ' F' in a medium of dielectric constant K?

HOW TO DO THIS QUESTION?

The electric field components due to a charge inside the cube of side 0.1 m are as shown:

Where α = 500 N/C − m

E_{y}= 0,E_{z}= 0Calculate (i) the flux through the cube and (ii) the charge inside the cube

two fixed point charges +4e and +e units are separated by a distance a .where should the third point charge be placed for it to be in equilibrium ?

A free proton and a free electron are placed in a uniform field. Which of the two

experience greater force and greater acceleration?

how much positive and negative charge is there in a cup of water

what is N=nNa

Two infinitely long parallel wires having linear charge densities λ1 and λ2 respectively are placed at a distance of R metre. The force per unit length on either wire will be.......?

_{1}, Q_{2}, Q_{3}, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q_{1}: Q_{2}: Q_{3}is : (1) 1 : 2 : 3 (2) 1 : 3 : 5 (3) 1 : 4 : 9 (4) 1 : 8 : 18Which of the following statements about electric field lines is

incorrect?They never cross each other

They always form closed loops

They point from positive toward negative charges

They point away from positive as well as negative charges

Solution

Electric field lines represent the electric field present in a region. The electrostatic field between a test charge and a charged body is represented by the electric field lines that exist between them. Electric field lines never cross each other and point from positive toward negative charge. They do not form closed loops and always start from a positive charge and end on a negative charge.

The correct answer is C.

Please explain how option C is incorrect ! Because I think it would be D....

what is the principle of vernier calipers

a) the flux of $\overrightarrow{E}$ through a cube bounded by surfaces x = $\mathcal{l}$, x=2$\mathcal{l}$, y =0, y=$\mathcal{l}$, z=0 and z=$\mathcal{l}$.

(b) the charge within the cube.

electrostatic field lines cannot be discontinuous why?

Determine the electric field at (a) a point P on the axis of the dipole 15 cm away from its centre O on the side of the positive charge, as shown in Fig. 1.21(a). and (b) a point Q, 15 cm away from O on a line

passing through O and normal to the axis of the dipole. as shown in Fig. 1.21(b).

An electron falls through a distance of 1.5 cm in a uniform electric field of magnitude 2.0 × 10

^{4}N C^{–1}in the direction of the field . Then the direction of the field is reversed keeping its magnitude unchanged and a proton falls through the same distance . compute the time of fall in each case.ABC is an equilateral triangle of side 10m and D is the mid point of BC . Charges of +100 , -100 and +75 micro C are placed at B , C and D respectively . Find the force on +1 micro C charge placed at A.

state Gauss' law in electrostatics.

a semi infinite line charge of linear charge density 'D' has the shape of an infinitely long straight wire whose one end is connected to three-fourth circle of radius 'R' while one of the diameters of 3/4th circle is parallel to the infinitely long straight part.What is the field at the centre of the circle.How?

project to study various factors on which the internal resistance emf of a cell depends

Two charge spheres 10 cm apart attract each other with a force of 3 µN. What force results from each of the following changes,considered separately?

a) Both charges are doubled and the distance remains the same.

b) An uncharged, identical sphere is touched to one of the spheres, and then taken away.

c) The separation is increased to 30 cm.

Find (i) the force on the charge at the centre of shell and at the point A. (ii) the electric flux through the shell.

Q137. A block of mass 1 kg kept on a rough horizontal surface ($\mathrm{\mu}$ = 0.4) is attached to a light spring (force constant = 200 N/m) whose other end is attached to a vertical wall. The block is pushed to compress the spring by a distance d and released. Find the value (s) of 'd' for which (spring + block) system loses its entire mechanical energy in form of heat.

(A) 4 cm (B) 6 cm (C) 8 cm (D) 10 cm

State and prove

.Gauss TheoremTwo small spheres each of mass 10^(-6)kg are suspended from a point by silk threads 50cm long. They are equally charged and repel each other to a distance 20sm apart. Calculate charge on each. The given answer is 2.98 X 10^(-9) C.

What is the angle between the directions of electric field at any 1) axial point 2) equatorial point due to an electric dipole ?

an infinitely large non conducting plane of uniform charge density σ(sigma) has a circular aperture carved out from it.the electric field at a point which is at a distance 'a' from the centre of the aperture (perpendicular to the plane) isσ/ (2√2Εâ‚€.) find the radius of the aperture.

what are the physical significance of electric field??

1) Ze/(4πεr^2 )×(1/r^2 – r/R^3)

2)zero

the sum of two point charges is 7uC. they repel each other with a force of 1N when kept 30cm apart in free space. calculate the value of each charge.

$\left(1\right)600\mu C\phantom{\rule{0ex}{0ex}}\left(2\right)60\mu C\phantom{\rule{0ex}{0ex}}\left(3\right)7\mu C\phantom{\rule{0ex}{0ex}}\left(4\right)6\mu \mu C$

If E=6i+3j+4k, calculate the electric flux through a surface of area 20 units in the YZ plane.

and a proton falls through the same distance [Fig. 1.13(b)]. Compute the time of fall in each case. Contrast the situation with that of free fall under gravity'.

explain cyclotron in a more elaborate way

in an electric field an electron is kept freely. If a proton replaces this electron, what will the relationship between the forces experienced by them?

A certain charge Q is divided into two parts q and Q-q which are then seperated by a certain distance.What must q be iin terms of Qto maximise the electrostatics repulsion between the two charges?

Two point changes q and –q are placed at a distance 2a apart. Calculate the

1. The sphere is replaced by a cube of same or different volume.

2. The second charge is placed near and outside the original sphere

3. A second charge is placed inside the sphere

4. The original charge is replaced by an electric dipole.

Show does the force between two point charges change if the dielectric constant

of the medium in which they are kept increase?

Why does the electric field inside a dielectric decrease when it is placed in an external electric field?

a car moving with a speed of 40km/hr can be stopped by applying brakes after at least 2m.If the same car is moving with 80km/hr.What is the least stopping distance?

What will be the value of electric field at the centre of electric dipole?(a)Zero

(b)Equal to the electric field due to one charge at centre

(c)Twice the electric field due to one charge at centre

(d)half the value of electric field due to one charge at centre.