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Question

Question: Two bulbs are in parallel and they together consume 48 W from a battery of 6 V. The resistance of ea...

Two bulbs are in parallel and they together consume 48 W from a battery of 6 V. The resistance of each bulb is

A

0.67Ω0.67\Omega

B

3.0Ω3.0\Omega

C

4.0Ω4.0\Omega

D

1.5Ω1.5\Omega

Answer

1.5Ω1.5\Omega

Explanation

Solution

The bulbs are connected in parallel, hence each bulb consumes 482=24W.\frac{48}{2} = 24W. Therefore V2R=24\frac{V^{2}}{R} = 24

R=6×624=1.5ΩR = \frac{6 \times 6}{24} = 1.5\Omega