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Question: A light bulb is rated at 100 W for a 220 V ac supply. The resistance of the bulb is...

A light bulb is rated at 100 W for a 220 V ac supply. The resistance of the bulb is

A

284 Ω\Omega

B

384 Ω\Omega

C

484Ω\Omega

D

584Ω\Omega

Answer

484Ω\Omega

Explanation

Solution

: Here, P = 100 W, Vrms=220VV_{rms} = 220V

Resistance of the bulb is

R=V2rmsP=(220)2100=484ΩR = \frac{{V^{2}}_{rms}}{P} = \frac{(220)^{2}}{100} = 484\Omega