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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.
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?
3.

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.

$\frac{96}{5} \mu F$

4.
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
(b) just outside the sphere
5.

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.

6.

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.

$\frac{19}{7} \mu F$ 

7.

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.

8.
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?
9.
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?
10.
A 600pF 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?
11.
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.
12.
A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor?
13.
Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel.
(a) What is the total capacitance of the combination?
14.
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.
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.

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.

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

17.
Two charges $2 \mu$C and $-2 \mu$C are placed at points A and B 6 cm apart.
(a) Identify an equipotential surface of the system.
18.

Evaluate the equivalent capacitance between the points A and B of the presented infinite ladder.

a.

$5 \mu F$ 

b.

$(5-5\sqrt{5})\mu F$ 

c.

$(5+5\sqrt{5})\mu F$ 

d.

$5\sqrt{5}\mu F$ 

19.
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
(a) inside the sphere
20.
Three capacitors each of capacitance 9 pF are connected in series.
(a) What is the total capacitance of the combination?

Worksheet Answers

3.
Option D
6.
Option A
16.
Option B
18.
Option C

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