MCQs of Electrostatic Potential and Capacitance

Electrostatic Potential and Capacitance MCQs

MCQs of Electrostatic Potential and Capacitance

Showing 41 to 50 out of 141 Questions

41.

Radii of two metal spheres have equal charge on them are r₁ and r₂, the ratio of their potentials will be _____ .

(a)	$\frac{{r_{1}}^{2}}{{r_{2}}^{2}}$
(b)	$\frac{{r_{2}}^{2}}{{r_{1}}^{2}}$
(c)	$\frac{r_{1}}{r_{2}}$
(d)	$\frac{r_{2}}{r_{1}}$

42.

Radii of two spheres have same electric field on its surface are r₁ and r₂, the ratio of their potentials will be _____

(a)	$\frac{{r_{1}}^{2}}{{r_{2}}^{2}}$
(b)	$\frac{{r_{2}}^{2}}{{r_{1}}^{2}}$
(c)	$\frac{r_{1}}{r_{2}}$
(d)	$\frac{r_{2}}{r_{1}}$

43.

Radii of two spheres have same surface charge density on them are r₁ and r₂, the ratio of their potentials will be _____

(a)	$\frac{{r_{1}}^{2}}{{r_{2}}^{2}}$
(b)	$\frac{{r_{2}}^{2}}{{r_{1}}^{2}}$
(c)	$\frac{r_{1}}{r_{2}}$
(d)	$\frac{r_{2}}{r_{1}}$

44.

If charge on capacitor is q and electric field between its plates is E, the force acting on each plate F = _____ .

(a)	qE
(b)	2qE
(c)	$\frac{1}{2}$ qE
(d)	$\frac{1}{4}$ qE

45.

Two spheres of radius 1 cm and 2 cm are given 10^-2C and 5 x 10^-2C charges respectively. What will be the charge on smaller sphere if they are connected with the help of a conducting wire ?

(a)	3 x 10^-2C
(b)	1 x 10^-2C
(c)	2 x 10^-2C
(d)	4 x 10^-2C

46.

If the charge on capacitor is increased by 5C, the energy stored in the capacitor is increased by 21%, what will be initial charge on the capacitor ?

(a)	10C
(b)	20C
(c)	50C
(d)	40C

47.

Charge Q is distributed uniformally over a non conducting sphere of radius R. The electric potential _____ V at distance r from the centre of the sphere r (r < R). The electric field at a distance r from the centre of the sphere is given as

\frac{1}{4 {πξ}_{0}} . \frac{Q}{R^{3}} \hat{r}

. Also the potential at the centre of the sphere is _____ V.

(a)	$\frac{k Q}{R} (3 - \frac{r^{2}}{R^{2}}), \frac{3 k Q}{R}$
(b)	$\frac{k Q}{2 R} (3 - \frac{R^{2}}{r^{2}}), \frac{3 k Q}{2 R}$
(c)	$\frac{k Q}{2 R} (3 - \frac{r^{2}}{R^{2}}), \frac{3 k Q}{2 R}$
(d)	none of these

48.

The force acting on one plate due to the other in a parallel plate capacitor is _____

(a)	$\frac{1}{2} \frac{CV}{d}$
(b)	$\frac{1}{2} \frac{C d}{V}$
(c)	$\frac{1}{2} \frac{{CV}^{2}}{d}$
(d)	$\frac{1}{2} \frac{C^{2} V}{d}$

49.

A capacitor consists of three parallel plates of equal area A. The distance between them is d₁ and d₂. Dielectric material having permittivity ξ₁ and ξ₂ is present between the plates.

(i)Capacitance of such a system = _____

(ii)The capacitance in terms of K₁ and K₂is _____

(a)	$\frac{A}{\frac{ξ_{1}}{d_{1}} + \frac{ξ_{2}}{d_{2}}}, \frac{{Aξ}_{0}}{\frac{d_{1}}{K_{1}} + \frac{d_{2}}{K_{2}}}$
(b)	$\frac{A}{\frac{d_{1}}{ξ_{1}} + \frac{d_{2}}{ξ_{2}}}, \frac{{Aξ}_{0}}{\frac{d_{1}}{K_{1}} + \frac{d_{2}}{K_{2}}}$
(c)	$\frac{A (ξ_{1} + ξ_{2})}{d_{1} + d_{2}}, \frac{{Aξ}_{0}}{\frac{K_{1}}{d_{1}} + \frac{K_{2}}{d_{2}}}$
(d)	$\frac{A}{\frac{ξ_{1}}{d_{2}} + \frac{ξ_{2}}{d_{1}}}, \frac{{Aξ}_{0}}{\frac{d_{1}}{K_{2}} + \frac{d_{2}}{K_{1}}}$

50.

Q amount of electric charge is residing on a conducting sphere having radius equal to R₁. This sphere is connected to another conducting sphere of radius R₁ by conducting wire. The charge on each of the both two spheres _____ (Both spheres are separated by a large distance.)

(a)	$\frac{R_{1}}{R_{1} + R_{2}} Q, \frac{R_{2}}{R_{1} + R_{2}} Q$
(b)	$\frac{R_{2}}{R_{1} + R_{2}} Q, \frac{R_{1}}{R_{1} + R_{2}} Q$
(c)	$\frac{R_{1} Q}{R_{2}}, \frac{R_{2} Q}{R_{1}}$
(d)	$\frac{R_{2} Q}{R_{1}}, \frac{R_{1} Q}{R_{2}}$

Showing 41 to 50 out of 141 Questions