MCQs of Electrostatic Potential and Capacitance

Electrostatic Potential and Capacitance MCQs

MCQs of Electrostatic Potential and Capacitance

Showing 111 to 120 out of 141 Questions

111.

Two identical thin rings each of radius R m are kept on the same axis at a distance of R m apart. If the charges on them are 10 C and 5 C respectively. Calculate the work done in moving charge q C from the centre of one ring to that of another.

(a)	$\frac{5 q}{4 {πξ}_{0} R} [\frac{\sqrt{2} - 1}{2}] J$
(b)	$\frac{15 q}{4 {πξ}_{0} R} [\frac{\sqrt{2} - 1}{\sqrt{2}}] J$
(c)	$\frac{5 q}{4 {πξ}_{0} R} [1 - \frac{1}{\sqrt{2}}] J$
(d)	$\frac{10 q}{4 {πξ}_{0} R} [\frac{\sqrt{2} - 1}{\sqrt{2}}] J$

112.

Q amount of electrical charge is present on the surface of a sphere having radius R. Then electrical potential energy of this system is _____ .

(a)	$\frac{k Q^{2}}{R}$
(b)	$\frac{1}{2} \frac{k Q^{2}}{R}$
(c)	$\frac{k Q^{2}}{R^{2}}$
(d)	$\frac{1}{2} \frac{k Q^{2}}{R^{2}}$

113.

27 identical drops of mercury are charged simultaneously with the same potential of 10 volt. Assuming the drop to be spherical, if all the charged drops are made to combine to form one large drop, then its potential will be _____ .

(a)	90
(b)	160
(c)	40
(d)	10

114.

One moving electron, when comes closer to other, stationary electron, then its kinetic energy and potential energy respectively _____ and _____ .

(a)	increases, decreases
(b)	decreases, increases
(c)	increases, increases
(d)	decreases, decreases

115.

Charge 1 μC are placed at each of the four corners of a square of side 2

\sqrt{2}

m. The potential at the point of intersection of the diagonals is _____. (k = 9 x 10⁹ SI unit)

(a)	18 x 10³ V
(b)	1800 V
(c)	18 $\sqrt{2}$ x 10³ V
(d)	None of these

116.

Capacitance (in F) of a spherical conductor with radius 1 m is _____ F.

(a)	1.1 x 10^-10
(b)	10^-6
(c)	9 x 10^-9
(d)	10^-3

117.

A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor _____ .

(a)	remains unchanged
(b)	becomes infinite
(c)	increases
(d)	decreases

118.

The work done in placing a charge of 8 x 10^-18 Coulomb on a condenser of capacity 100 microfarad is _____ .

(a)	3.1 x 10^-26
(b)	4 x 10^-10
(c)	32 x 10^-32
(d)	16 x 10^-32

119.

For a uniform electric field

\vec{E}

= E₀ (

\hat{i}

), if the electric potential at x = 0 is zero, then the value of the electric potential at X = +X will be _____ .

(a)	XE₀
(b)	-XE₀
(c)	X²E₀
(d)	-X²E₀

120.

At all points inside a uniformly charged spherical shell, _____ .

(a)	electric potential and electric field both are zero.
(b)	electric potential is zero, but electric field is not zero.
(c)	electric potential and electric field both are non-zero.
(d)	electric potential is non-zero constant, but electric field is zero.

Showing 111 to 120 out of 141 Questions