Science (English Medium) इयत्ता १२ - CBSE Question Bank Solutions for Physics

A parallel-plate capacitor has plate area 25⋅0 cm² and a separation of 2⋅00 mm between the plates. The capacitor is connected to a battery of 12⋅0 V. (a) Find the charge on the capacitor. (b) The plate separation is decreased to 1⋅00 mm. Find the extra charge given by the battery to the positive plate.

Find the charges on the three capacitors connected to a battery as shown in figure.

Take `C_1 = 2.0  uF , C_2 = 4.0  uF , C_3 = 6.0  uF and V` = 12 volts.

Three capacitors having capacitances 20 µF, 30 µF and 40 µF are connected in series with a 12 V battery. Find the charge on each of the capacitors. How much work has been done by the battery in charging the capacitors?

Find the charge appearing on each of the three capacitors shown in figure .

Take `C_1 = 4.0  "uF" and C_2 = 6.0  "uF"` in figure . Calculate the equivalent capacitance of the combination between the points indicated.

Find the charge supplied by the battery in the arrangement shown in figure.

The outer cylinders of two cylindrical capacitors of capacitance 2⋅2 µF each, are kept in contact and the inner cylinders are connected through a wire. A battery of emf 10 V is connected as shown in figure . Find the total charge supplied by the battery to the inner cylinders.

Two conducting spheres of radii R₁ and R₂ are kept widely separated from each other. What are their individual capacitances? If the spheres are connected by a metal wire, what will be the capacitance of the combination? Think in terms of series−parallel connections.

What should be the value of R in the figure for which the current in it is zero?

Each of the capacitors shown in figure has a capacitance of 2 µF. find the equivalent capacitance of the assembly between the points A and B. Suppose, a battery of emf 60 volts is connected between A and B. Find the potential difference appearing on the individual capacitors.

It is required to construct a 10 µF capacitor which can be connected across a 200 V battery. Capacitors of capacitance 10 µF are available but they can withstand only 50 V. Design a combination which can yield the desired result.

Find the equivalent capacitance of the system shown in figure between the points a and b.

A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure . The width of each stair is a and the height is b. Find the capacitance of the assembly.

A cylindrical capacitor is constructed using two coaxial cylinders of the same length 10 cm and of radii 2 mm and 4 mm. (a) Calculate the capacitance. (b) Another capacitor of the same length is constructed with cylinders of radii 4 mm and 8 mm. Calculate the capacitance.

Each capacitor shown in figure has a capacitance of 5⋅0 µF. The emf of the battery is 50 V. How much charge will flow through AB if the switch S is closed?

Convince yourself that parts (a), (b) and (c) figure are identical. Find the capacitance between the points A and B of the assembly.

Find the equivalent capacitances of the combinations shown in figure between the indicated points.

Find the capacitance of the combination shown in figure between A and B.

Find the equivalent capacitance of the infinite ladder shown in figure between the points A and B.

A finite ladder is constructed by connecting several sections of 2 µF, 4 µF capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C, such that the equivalent capacitance of the ladder between the points A and B becomes independent of the number of sections in between?