(a) With the help of a suitable circuit diagram prove that the reciprocal of the equivalent
resistance of a group of resistances joined in parallel is equal to the sum of the
reciprocals of the individual resistances.
(b) In an electric circuit two resistors of `12 Omega` each are joined in parallel to a `6V` battery.
Find the current drawn from the battery.

Explanation

### Solution:

**(a)** To prove that the reciprocal of the equivalent resistance of a group of resistances joined in parallel is equal to the sum of the reciprocals of the individual resistances, we will consider a circuit with three resistors \( R_1, R_2, \) and \( R_3 \) connected in parallel.

1. **Circuit Diagram**: Draw a circuit diagram with a battery and three resistors in parallel. Label the resistors \( R_1, R_2, \) and \( R_3 \) and connect them between the two terminals of the battery.

2. **Current Division**: Let the total current flowing from the battery be \( I \). This current divides into three parts:
- \( I_1 \) through \( R_1 \)
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