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Syllabus

how does the angle of dip vary from equator to poles?

an object with +ve charge.the potential at that object will be

What are the properties of

?Electric Lines of ForceK(x) = K

_{0}+ Bx ( B = constant )the capacitance C of this capacitor would be related to its vacuum capacitance C

_{0}as per the relation ??What is Ohm's law in vector form.........???

39. A light cylindrical vessel is kept on a horizontal surface. Its base area is A. A hole of cross sectional area $\frac{A}{4}$ is made on side wall just at its bottom. Minimum coefficient of friction such that it does not

Slide due to impact force of emerging liquid is.

$\left(1\right)\mu =\frac{1}{4}\left(2\right)\mu =4\left(3\right)\mu =\frac{1}{2}\left(4\right)\mu =\frac{1}{8}$

derive an expression for the total work done in rotating an electric dipole through an angle theta in a uniform electric field.

The half –life of a radioactive substance is 30 s. Calculate:(i ) the decay constant, and(ii) Time taken by the sample to decay 3/4 of its initial value.Two capacitors C1 and C2 are charged to potential V1 and V2 resp. and then connected in parallel. Calculate common potential, charge on each capacitor and energy in the system after connection??

Solve this :12. Alpha particle is revolving around an infinitely long line charge of linear charge density $\mathrm{\lambda}$ at perpendicular distance r from it. The centripetal force on the particle is :

$1.\frac{\mathrm{\lambda e}}{2{\mathrm{\pi \epsilon}}_{\circ}\mathrm{r}}2.\frac{\mathrm{\lambda e}}{{\mathrm{\pi \epsilon}}_{\circ}\mathrm{r}}3.\frac{\mathrm{\lambda e}}{4{\mathrm{\pi \epsilon}}_{\circ}\mathrm{r}}4.\frac{\mathrm{\lambda e}}{{\mathrm{\pi \epsilon}}_{\circ}{\mathrm{r}}^{2}}$

Find the expression for the capacitance of a parallel plate capacitor of area A and plate separation d if

i) a dielectric slab of thickness t, and

ii) a metllic slab of thicknes t

(where t<d) are introduced one by one between the platesof the capacitor. In which case would the capacitance be more and why?

Q. Calculate the equivalent capacitance between points A and B in the circuit below .If a battery of 10 V is connected across A and B , calculate the charge drawn from the battery by the circuit .

An electic dipole of length 2cm is placed with its axis making an angle 60 degree with respect to a uniform electric field of 10

^{5}N/C. If it experiences a torque of 13.856 Nm, calculate the- magnitude of the charge on the dipole & PE of the dipole.a non conducting ring of radius 0.5 m carries a total charge of 1.11*10

^{-10}C distributed non uniformly on it's circumference producing electric field E vector everywhere in the space . the value of the line integral ∫ -E. dl ( llower limit =infinity , upper limit = 0) (=0 being at the centre of the ring ) in volts isCharge q is uniformly distributed over a thin half ring of radius R .The electric field at the centre of the ring is?WHAT ARE THE PROPERTIES OF EQUIPOTENTIAL SURFACES ?????????

(a) V' - V/V' +V

(b) V' - V/V

(c) V' - V/ V'

(d) V - V'/V'

A parallel plate capacitor is charged by a battery. After sometime the battery is disconnected and a dielectric slab of dielectric constant K is inserted in between the plates. How would i) The capacitance ii) The electric field between the plates and iii) The energy stored in the capacitor be affected? Give reasons with necessary equations.

A capacitor of capacitance C is charged to a potential difference V0. The charging battery is disconnected and the capacitor is connected to a capacitor of unknown capacitance Cx. The P.D. across the combination is V. The value of Cx should be

_{1 },q_{2,}q_{3}are in line at equal distances q_{2 }and q_{3}are in sign .Find the magnitude and sign of q_{1 },if the net force on q_{3}is zero.ChargeQ is distributed over two concentric hollow spheres of radii R1 and R2 (R2>R1) such that the surface charge densities areequal. Find the electric potential at the common centre.

Solve this :45. A uniform cylindrical rod of length L, cross-section A and Young's modulus Y is acted upon b the forces as shown in figure. The elongation of the rod is :

$1.\frac{2}{5}\frac{\mathrm{F}}{\mathrm{AY}}2.\frac{3}{5}\frac{\mathrm{F}}{\mathrm{AY}}\phantom{\rule{0ex}{0ex}}3.\frac{3}{8}\frac{\mathrm{F}}{\mathrm{AY}}4.\frac{8}{3}\frac{\mathrm{F}}{\mathrm{AY}}$

An electric dipole is held in a uniform electric field.

a) Show that the net force acting on it is zero.

b) The dipole is aligned parallel to the field.Find the work done in rotating through angle of 180 degree

A spherical conducting shell of inner radius r1 and outer radius r2 has a charge Q. A charge q is placed at the centre of the cell.

(a) What is the surface charge density on the (i) inner surface (ii) outer surface of the shell.

(b) Write the expression for electric field at a point x r2 from the centre of the shell.

Calculate the amount of work done in rotating a dipole, of dipole moment 3 x 10

^{-8}Cm, from its position of stable equilibrium to the position of unstable equilibrium of uniform electric field 10^{4}N/C..E = a [(xi + yj + zk)]/[(x^2 + y^2 + z^2)]^3/2

The electrostatic energy stored between 2 imaginary concentric spherical shells of radii R and 2R with center at the origin is?

[Ans: (pi)ε0 a^2/R ]

Q1.)CALCULATE THE WORK DONE TO DISSOSIATE THE SYSTEM OF THREE CHARGES PLACED ON THE VERTICES OF THE TRIANGLE ABC

HERE q=1.6 * 10

^{-10 }Call side of 10cm ,A=q ,B=2q,C=-4q

Draw 3 equipotential surfaces corresponding to a field that uniformly increases in magnitude but remains constant along z direction.

how are these surfaces different from that of a constant electric field along z direction?

two concentric metallic spherical shells of radii R and 2R are given charges Q1 and Q2 respectively .the surface charge densities on the outer surfaces of the shells are equal .determine the ratio Q1:Q2

Three identical capacitors C

_{1}, C_{2}and C_{3}of capacitance 6 μF each are connected to a 12 V battery as shown.Find

(i) charge on each capacitor

(ii) equivalent capacitance of the network

(iii) energy stored in the network of capacitors

Two point charges 4 micro coulomb & -2 micro coulomb are seperated by a distance of 1m in air. At what point of line joining the charges is the electric potential zero?

43.A particle is thrown with kinetic energy k straight up a rough inclined plane of inclination $\alpha $ and coefficient of friction $\mu $. The work done against friction before the particle comes to rest is$\left(1\right)\frac{k\mu sin\alpha}{\mathrm{cos}\alpha +\mu \mathrm{sin}\alpha}\left(2\right)\frac{k\mu \mathrm{cos}\alpha}{\mathrm{cos}\alpha +\mu \mathrm{sin}\alpha}\phantom{\rule{0ex}{0ex}}\left(3\right)\frac{k\mu sin\alpha}{\mathrm{sin}\alpha +\mu \mathrm{cos}\alpha}\left(4\right)\frac{k\mu cos\alpha}{\mathrm{sin}\alpha +\mu cos\alpha}$

Derive an expression for the energy stored in parallel plate capacitor with air as the medium between its plates . Air is now re placed by dielectric medium of dielectric constants k. How does it charges the total energy of the capacitor if

a ) the capacitor remains connected to the same battery .

b ) the capacitor is disconnected from the battery.

lenz law is consequence of the law of conservation of

charge,momentum, mass or energy

plz answer me xperts

explain the working of VAN DE GRAFF GENERATOR?

two identical metal spheres carry charges of +q and -2q.When the spheres are separated by r distance,the force between themis F. Now the spheres are allowed to touch and then moved back to the same.Find the force of repultion between them?

A 600 pF capacitor is charged by a 200V supply. It is then disconnected from the supply and is connected

to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process. ?

Define dielectric constant in term of capacitance

capacitance C2 is charged to a potential difference V2 The capacitors are now disconnected

from their respective charging batteries and connected in parallel to each other. (a) Find the

total energy stored in the two capacitors before they are connected.

(b) Find the total energy stored in the parallel combination of the two capacitors.

(c) Explain the reason for the difference of energy in parallel combination in comparison to

the total energy before they are connected.

Two capacitors, of capacitance 3 micro farad and 6 micro farad are charged to potentials of 2V and 5V respectively. These two charged capacitors are connected in parallel . Find the charge across each of the two capacitors now.

Q. Two conducting spheres, each given a charge q are kept far apart as shown. The amount of charge that crosses the switch S, when it is closed, is (the connection between the spheres is conducting.

$\left(1\right)\frac{q}{3}\left(2\right)\frac{2q}{3}\phantom{\rule{0ex}{0ex}}\left(3\right)\frac{3q}{4}\left(4\right)Zero$

Derivation of electric potential energy of a system of two point charges in the absence of external electric field

If I consider two metallic charged spheres whose radii are 20cm and 10cm respectively, each having 150 microcoulomb positive charge. What is their common potential after they are connected by a conducting wire ????

A 4 micro farad capacitor charged by 200 volt supply. It is then dissconnected from the supply and is connected to anothe uncharged 2 micro farad capacitor. How much electrostatic energy of first capacitor is lost in the form of heat or e. m radiations?

derivation for energy stored in a capacitor?

a 10 uF capacitor is charged to a potential difference of 50V and is connected to another uncharged capacitor in parallel. now the common potential difference becomes 20 volt. the capacitance of second capacitor is =?

show that there is always a loss of energy when two capacitors charged to different potentials share charge

~Electric potential and capacitance (Physics)

The followingshow the field lines of a single positive and negative charge respectively.

Give the signs of the potential differences.V_{P }- V_{Q} ; V_{B }- V_{A}Give the sign of the potential energy difference of a small negative charge between the points Q and P ; A and B.Give the sign of the work done by the field in moving a small positive charge from Q to P.Give the sign of the work done by an external agency in moving a small negative charge from B to A.Does the kinetic energy of a small negative charge increase or decrease in going from B to A.the circuit is in series with a at one end and the capacitors connecetd in series

taking another charge +q from A to B is W1 and from B to C is W2. Which one of the

following is correct: W1 > W2, W1=W2 and W1

Draw an equipotential surface in a uniform electric field...

2 identical parallel plate capacitors connected to a battery with the switch 's' closed . the switch 's' is now open and the free space between the plate of the capacitor is filled with a dielectric of k=3. Find the ratio of total energy stored in both capacitors before and after the introduction of the dielectric

derivation of electric potential at a point on axial line of an electric dipole

i) positive ii) negative?

A 10 micro faran capacitor is charged by a 30V dc supply & then connected across an uncharged capacitor of 50 micro faran. Calculate the(1) final potential difference across the combination & the (2)initial & final energies. How will you account for the difference in energies?

Two electrons are moving towards each other,each with a velocity of 10

^{6}m/s.What will be losest distance of approach between them?Electric potential in an electric field is given by v=K/r ( K=const). If the posiion vector r = 2i + 3j + 6k, the electric field is given by

A) ( 2i + 3j + 6k) / 243

B) (2i + 3j + 6k) / 343

C) (3i + 2j + 6k) / 243

D) (6i + 2j + 6k) 343

Plz do all the proper.

draw schematically an equipotential surface of a uniform electrostatic field along x-axis.

answer soon pls

Q33. Each of the plates shown in figure (31-E19) has surface area (96/${\mathrm{\epsilon}}_{0}$ ) × 10

^{–12}Fm on one side and the separation between the consecutive plates is 4.0 mm. The emf of the battery connected is 10 volts. Find the magnitude of the charge supplied by the battery to each of the plates connected to it.what is a transformer? what is its principle of working? why efficiency of a transformer is less than 100%? whya transformer cannot be used to step up or step down dc voltage?

why is electrostatic potential constant throughout the volume of the conductor and has the same value(as inside) on its surface??

State the laws of reflection & refraction of light. .

Two point charges of +3x10

^{-8}C and -2x10^{-8}C are located 15 cm apart in air. Find at what point on the line joining these charges the electric potential is zero. Take potential at infinity to be zero.Q39. A ball is released from the top of vertical circular pipe. Find angle $\mathrm{\theta}$ with vertical where the ball will lose contact with inner side wall of pipe and start moving with outer side wall. (Thickness of pipe is small as compared to radius of circle)

$\left(1\right){\mathrm{cos}}^{-1}\frac{2}{3}\left(2\right){\mathrm{cos}}^{-1}\frac{1}{3}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(3\right){\mathrm{sin}}^{-1}\left(\frac{2}{3}\right)\left(4\right){\mathrm{sin}}^{-1}\left(\frac{1}{3}\right)$

_{0}E^{2}Ad where A is the area of each plate and d is the seperation between each plate.How will the energy stored in a fully charged capacitor change when the seperationbetween the plates is doubled and a dielectric medium of dielectric constant 4 is introduced between the plates ?