Capacitors Physics - Capacitors

The capacitance of a capacitor does not depend on:

1. The shape of the plates.
2. The size of the plates.
3. The charges on the plates.
4. The separation between the plates.

A dielectric slab is inserted between the plates of a capacitor. The charge on the capacitor is Q and the magnitude of the induced charge on each surface of the dielectric is Q':

1. Q' may be larger than Q.
2. Q' must be larger than Q.
3. Q' must be equal to Q.
4. Q' must be smaller than Q.

A parallel-plate capacitor has plates of unequal area. The larger plate is connected to the positive terminal of the battery and the smaller plate to its negative terminal. Let Q₊ and Q_- be the charges appearing on the positive and negative plates respectively:

1. Q₊ > Q_-
2. Q₊ = Q_-
3. Q₊ < Q_-
4. The information is not sufficient to decide the relation between Q₊ and Q_-.

A hollow metal sphere and a solid metal sphere of equal radii are given equal charges. Which of the two will have higher potential?

The plates of a parallel-plate capacitor are given equal positive charges. What will be the potential difference between the plates? What will be the charges on the facing surfaces and on the outer surfaces?

Suppose a charge +Q₁ is given to the positive plate and a charge -Q₂ to the negative plate of a capacitor. What is the ''charge on the capacitor''?

A capacitor has capacitance C. Is this information sufficient to know what maximum charge the capacitor can contain? If yes, what is this charges? If no, what other information is needed?

A capacitor with stored energy 4.0J is connected with an identical capacitor with no electric field in between. Find the total energy stored in the two capacitors.

A 100pF capacitor is charged to a potential difference of 24V. It is connected to an uncharged capacitor of capacitance 20pF. What will be the new potential difference across the 100pF capacitor?

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.

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

A cylindrical capacitor is constructed using two coaxial cylinders of the same length 10cm and of radii 2mm and 4mm:

1. Calculate the capacitance.
2. Another capacitor of the same length is constructed with cylinders of radii 4mm and 8mm. Calculate the capacitance.

A point charge Q is placed at the origin. Find the electrostatic energy stored outside the sphere of radius R centred at the origin.

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

Suppose, one wishes to construct a 1.0 farad capacitor using circular discs. If the separation between the discs be kept at 1.0mm, what would be the radius of the discs?

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

Find the capacitances of the capacitors shown in figure. The plate area is A and the separation between the plates is d. Different dielectric slabs in a particular part of the figure are of the same thickness and the entire gap between the plates is filled with the dielectric slabs.

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