Two cells of emfs `epsilon_(1)and epsilon_(2)` and internal resistances `r_(1)and r_(2)` respectively are connected in parallel . Obtain expressions for the equivalent (i) resistance and , (ii) emf of the combination.

Explanation

To solve the problem of finding the equivalent resistance and emf of two cells connected in parallel, we can follow these steps:

### Step 1: Understanding the Circuit
We have two cells with emfs \( \epsilon_1 \) and \( \epsilon_2 \) and internal resistances \( r_1 \) and \( r_2 \) respectively connected in parallel. The total current \( I \) flowing from the combination can be expressed as the sum of the currents through each cell.

### Step 2: Applying Kirchhoff's Voltage Law
For cell 1:
\[
...