A wire when connected to 220 V mains supply has power dissipation `P_1`. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is `P_2`. Then `P_2: P_1` is

Options

A. 1
B. 4
C. 2
D. 3

Explanation

To solve the problem, we need to find the ratio of power dissipation \( P_2 \) when the wire is cut into two equal pieces and connected in parallel to the power dissipation \( P_1 \) when the wire is connected directly to the mains supply.

### Step-by-Step Solution:

1. **Understand the Power Dissipation Formula**:
The power dissipated in a resistor can be calculated using the formula:
\[
P = \frac{V^2}{R}
...