Two electric bulbs rated `P_(1)` and `P_(2)` watt at `V` volt are connected in series across `V` volt mains then their total power consumption `P` is

Options

A. `(P_(1)+P_(2))`
B. `sqrt(P_(1)P_(2))`
C. `P_(1)P_(2)//(P_(1)+P_(2))`
D. `(P_(1)+P_(2))//P_(1)P_(2)`

Explanation

To find the total power consumption \( P \) of two electric bulbs rated \( P_1 \) and \( P_2 \) watts, connected in series across a \( V \) volt mains, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Power Rating**:
Each bulb has a power rating when connected to a voltage \( V \). The power consumed by each bulb is given by the formula:
\[
P = \frac{V^2}{R}
...