WORKSHEET - CAPACITANCE
SECTION- A [ 1 MARK]
1. A charge of 2 c moves between two maintain at a potential difference of 1 volt. What is the energy
acquired by the charge?
2. Show that the capacitance of a spherical conductor is 4πε0 times the radius of the spherical conductor.
3. Three capacitors of capacitance 1µF, 2µF and 3µF are connected in series and a p.d. of 11V is applied
across the combination. What is the p.d. across the plates of 1µF capacitor?
4. Sketch a graph to show how the charge Q acquired by a capacitor of capacitance C varies
with increase in potential difference between its plates.
5. The graph shows the variation of voltage 'V' across the plates of two capacitors A and B versus
increase of charge 'Q' stored on them. which of the two capacitors has higher capacitance Give
reason of your answer.
SECTION- B [ 2 MARK]
6. Calculate the potential difference and the energy stored in the capacitor C2 in the
circuit shown in the figure. Given potential at the end is 90 V.
7. A slab of material of dielectric constant K has the same area as that of the plates of a parallel plate capacitor
but has the thickness 3d/4, where d is the separation between the plates. How is the capacitance changed when
the slab is inserted between the plates?
8. How will the (i) energy stored and (ii) the electric field inside the capacitor be affected when it is completely
filled with a dielectric material of dielectric constant ‘K’?
9. Show that the effective capacitance, C, of a series combination, of three capacitors, C 1, C2 and C3 is given
by
SECTION- C [ 3 MARK]
10. In the circuit shown in figure, the charge on the capacitor is 4μF is
16μC.Calculate the energy stored in the capacitor of 12μF capacitance.
11. Find the ratio of the potential differences that must be applied across the parallel and series combination
of two capacitors C1 and C2 with their capacitances in the ratio 1: 2 so that the energy stored in the two cases
becomes the same
12. A network of four capacitors each of 12 µF capacitance is connected to a 500
V supply as shown in the figure. Determine (a) equivalent capacitance of the
network and (b) charge on each capacitor.
13. Two parallel plate capacitors of capacitances C1 and C2 such that C1 = 2C2 are
connected across a battery of V volts as shown in the figure. Initially the key (k, is kept
closed to fully charge the capacitors. The key is now thrown open and a dielectric slab
of dielectric constant 'K' is inserted in the two capacitors to completely fill the
gap between the plates. Find the ratio of (i) the net capacitance and (ii) the
energies stored in the combination, before and after the introduction of the
dielectric slab.
14. Two identical capacitors of plate dimensions l × b and plate separation d have
dielectric slabs filled in between the space of the plates as shown in the figures.
Obtain the relation between the dielectric constants K, K1 and K2.
15. Find the equivalent capacitance of the combination of
capacitors between the points A and B as shown in Fig. Also
calculate the total charge that flows in the circuit, when a 100V
battery is connected between the points A and B.