if we carry a charge once around an equipotential path, then work done  by the charge is
  • W < 0
  • W > 0
  • $W= \infty$
  • $W=0$
A parallel plate capacitor filled with a material of dielectric constant K is charged to a certain voltage. The dielectric material is removed. Then which of the following is true? (i) Electric field reduces by factor K (ii) Capacitance decreases by factor K. (iii) Voltage across capacitor increases by a factor K. (iv) Charge stored in capacitor increases by factor K.
  • (i) and (ii)
  • (ii) and (iv)
  • (i) and (iii)
  • (ii) and (iii)
if the distance between the plates of the parallel plate capacitor is halved and dielectric constant is doubled, then capacity will be
  • increase by 16 times
  • increase by 8 times
  • increase by 4 times
  • remains the same
Electric potential V at any point x, y, z in space is given by $V = 2x^2$. The value of the electric field at the point (3, – 1, 3) is
  • -36
  • 12
  • -12
  • -4
Energy per unit volume for a capacitor having Area A and Separation d kept at PD V is given by
  • $\frac {1}{2} \epsilon _0 \frac {V^2}{d^2}$
  • $\frac {1}{2 \epsilon _0} \frac {V^2}{d^2}$
  • $\frac {1}{2} CV^2$
  • $\frac {Q^2}{2C}$
Which of the following is not the property of equipotential surfaces?
  • They do not cross.
  • They are concentric spheres for uniform electric field
  • Rate of change of potential weigh distance on them is zero.
  • They can be imaginary spheres.
Equipotential surfaces (i) are closer in regions of large electric fields compared to regions of lower electric fields. (ii) will be more crowded near sharp edges of a conductor. (iii) will be more crowded near regions of large charge densities. (iv) will always be equally spaced. Which of the following are corrects?
  • (i) and (ii)
  • (i) ,(ii) and (iii)
  • (ii) and (iii)
  • All correct
Some charge is being given to a conductor. Then its potential is
  • maximum somewhere between surface and centre
  • maximum at centre
  • maximum at surface
  • remain same throughout the conductor
Keeping the voltage of the charging source constant what would be the percentage change in the energy stored in a parallel plate capacitor if the separation between its plates were to be decreased by 10%
  • 10%
  • 21.11%
  • 11.11%
  • 9.9%
If there are n capacitors in series connected to V volt source, then the energy stored is equal to
  • $\frac {1}{2} CV^2$
  • $\frac {1}{2}n CV^2$
  • $\frac {1}{2n} CV^2$
  • $\frac {1}{2} n^2CV^2$
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true, but assertion is false. Assertion: Net work done by electric field on a charged particle moving from point A to B is independent of the path connecting A to B Reason: The net work done by a conservative force on the object moving along a closed loop is zero
  • (a)
  • (b)
  • (c)
  • (d)
  • (e)
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true, but assertion is false. Assertion : At any point inside the sphere, electric intensity is zero. Reason : At any point inside the sphere, the electrostatic potential is same
  • (a)
  • (b)
  • (c)
  • (d)
  • (e)
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true, but assertion is false. Assertion: Electric field is always normal to equipotential surfaces and along the direction of decreasing order of potential Reason :Negative gradient of electric potential is electric field.
  • (a)
  • (b)
  • (c)
  • (d)
  • (e)
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true, but assertion is false. Assertion: Electric Potential of earth is taken zero Reason : No electric field exists on earth surface
  • (a)
  • (b)
  • (c)
  • (d)
  • (e)
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true, but assertion is false. Assertion: Two adjacent conductors, carrying the same positive charge have a potential difference between them. Reason: The potential to which a conductor is raised depends upon the charge.
  • (b)
  • (c)
  • (a)
  • (d)
  • (e)
A capacitance circuit is shown below Here V=300 Volts , $C_1= 100 \ pF$,$C_2=200 \ pF$,$C_3=200 \ pF$ and $C_4=100 \ pF$ The equivalent Capacitance of the Network is    
electrostatic-potential-and-capacitance.png
  • 33.33 pF
  • 60 pF
  • 66.66 pF
  • 76 pF
Voltage across the $C_4$ capacitance
  • 100 V
  • 200 V
  • 150 V
  • 250 V
Voltage across the capacitor $C_2$  is
  • 100 V
  • 150 V
  • 50 V
  • 120 V
N drops of mercury of equal radii and possessing equal charges combine to form a big drop. If the capacitance of small drop is  a, What is the  capacitance  of the bigger drop ?
  • aN
  • a/N
  • $a N^{1/3}$
  • $a \sqrt N$
If V is the potential of single drop, what is the potential of big drop
  • NV
  • V/N
  • $V N^{2/3}$
  • $V N^{1/3}$
0 h : 0 m : 1 s

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