In above question, if the bulbs are connected in parallel, total power consumed is

Options

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

Answer

To find the total power consumed when two electric bulbs rated P1 W and P2 W are connected in parallel across a voltage supply V, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Resistance of Each Bulb:**
- The resistance \( R_1 \) of the first bulb can be calculated using the formula:
\[ R_1 = \frac{V^2}{P_1} \]
- The resistance \( R_2 \) of the second bulb can be calculated using the formula:
\[ R_2 = \frac{V^2}{P_2} \]

2. **Calculate Total Power in Parallel:**
- When the bulbs are connected in parallel, the voltage across each bulb remains the same (V volts).
- The total power consumed \( P \) in a parallel circuit can be calculated using the formula:
\[ P = P_1 + P_2 \]
- This is because each bulb operates independently at the same voltage, and the total power is simply the sum of the individual powers.

3. **Final Expression for Total Power:**
- Thus, the total power consumed when the bulbs are connected in parallel is:
\[ P = P_1 + P_2 \]

### Conclusion:
The total power consumed by the bulbs when connected in parallel is \( P_1 + P_2 \).

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