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CBSE - Class 12 Physics Electrostatic Potential and Capacitance Worksheet

1.
A regular hexagon of side 10 cm has a charge $5 \mu$C at each of its vertices. Calculate the potential at the centre of the hexagon.
2.
Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel.
(b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.
3.

Explain what would happen if in the capacitor given in a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}$ m$^2$ and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, (a) while the voltage supply remained connected.

4.
In a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}$ m$^2$ and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?
5.

Find the equivalent capacitance between the points A and B of the presented cubical circuit.

a.

$\frac{16}{5} \mu F$ 

 b.

$\frac{32}{5} \mu F$

 c.

$\frac{48}{5} \mu F$

 d.

$\frac{96}{5} \mu F$
6.
Two charges $5 \times 10^{-8}$ C and $-3 \times 10^{-8}$ C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
7.

What is voltage?

a.

Force required to move electrons

 b.

Potential difference between two points
8.
A parallel plate capacitor with air between the plates has a capacitance of 8 pF ($1$pF = $10^{-12}$ F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
9.

What is current?

a.

Rate of flow of electrons

 b.

Resist the flow of electorns
10.
A spherical conductor of radius 12 cm has a charge of $1.6 \times 10^{-7}$C distributed uniformly on its surface. What is the electric field
(c) at a point 18 cm from the centre of the sphere?
11.

The potential energy of two equal negative point charges of magnitude 2μC placed one meter apart in the air is

a.

2J

 b.

0.36J

 c.

4J

 d.

0.036J
12.
Three capacitors each of capacitance 9 pF are connected in series.
(a) What is the total capacitance of the combination?
13.

What is a circuit?

a.

Rate of flow of electrons.

 b.

A closed path to flow current.
14.

The potential at a point 10cm from an electric dipole of dipole moment 4x10-10cm inclined at an angle 30º is

a.

312V

 b.

-31.2V

 c.

31.2V

 d.

0V
15.
Two charges $2 \mu$C and $-2 \mu$C are placed at points A and B 6 cm apart.
(b) What is the direction of the electric field at every point on this surface?
16.

Find the equivalent capacitance between the point A and B of the presented figure.

a.

$\frac{34}{7} \mu F$ 

 b.

$\frac{17}{7} \mu F$ 

 c.

$\frac{18}{7} \mu F$ 

 d.

$\frac{19}{7} \mu F$ 
17.
Three capacitors each of capacitance 9 pF are connected in series.
(b) What is the potential difference across each capacitor if the combination is connected to a 120 V supply?
18.
A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor?
19.

Explain what would happen if in the capacitor given in a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}$ m$^2$ and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor? a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, (b) after the supply was disconnected.

20.

Determine the equivalent capacitance between the point A and B of the presented circuit.

a.

$\frac{2}{3} \mu F$ 

 b.

$\frac{4}{3} \mu F$

 c.

$\frac{1}{3} \mu F$

 d.

$\frac{5}{3} \mu F$

Worksheet Answers

5.
Option D
7.
Option A
9.
Option A
11.
Option D
13.
Option B
14.
Option A
16.
Option A
20.
Option B
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