Six identical resistance of resistance `20 Omega` each are connected in the form of a hexagon across a battery of 3 V. Find the current through the battery when the battery is connected (i) between any two adjacent vertices. (ii) across any two opposite vertices.

Explanation

To solve the problem, we will break it down into two parts as specified in the question.

### Part (i): Battery connected between any two adjacent vertices

1. **Identify the Configuration**:
- We have six resistors (each of 20 Ω) arranged in a hexagon. When the battery is connected between two adjacent vertices, we can visualize the circuit.

2. **Label the Resistors**:
...