## H C VERMA PHYSICS BOOK SOLUTIONS CAPACITORS PART-1

** Solved Examples**

**Example 31.1**

A capacitor gets a charge of 60 muC when it is connected to a battery of emf 12 V. Calculate the capacitance of the capacitor.

**Sol.**

The potential difference between the plates is the same as the emf of the battery which is 12 V. Thus, the capacitance is

**Example 31.3 **

Calculate the capacitance of a parallel–plate capacitor having 20 cm × 20 cm square plates separated by a distance of 1.0 mm.

**Sol.**

The capacitance is

**Example 31.4 **

Calculate the charge on each capacitor shown in figure .

In series combination, each capacitor has equal charge and this charge equals the charge suppled by the battery. Thus, each capacitor has a charge of 200 muC.

**Example 31.5 ** Find the equivalent capacitance of the combination shown in figure between the points P and N.

**Example 31.6 ** Find the equivalent capacitance of the combination shown in the figure between the points P and N.

**Sol. ** Let us connect a battery between the points P and N. The charges and the potentials are shown in figure.The positive terminal of the battery supplies a charge +Q which appears on the plate A _{1 }. The facing plate A _{2} gets a charge – Q. The plates A_{ 2} , A _{3} and A _{5} taken together form an isolated system. The total charge on these three plates should be zero. Let a charge Q 1 appear on A 3 , then a charge Q – Q 1 will appear on A 5 to make the total charge zero on the three plates. The plate A_{ 4} will get a charge – Q _{1} (facing plate of A_{ 3} ) and A 0 will get a charge – ( Q–Q _{1 }) (facing plate of A

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