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Question

Physics Question on Current electricity

A (100 W, 200 V) bulb is connected to a 160 volts supply. The power consumption would be

A

100 W

B

125 W

C

64 W

D

80 W

Answer

64 W

Explanation

Solution

Given ,
For bulb,
Power , P=100WP = 100 \,W , V=200VV = 200\, V
As we know ,
P=V2/RP = V^2/R,
R=V2/PR = V^2/P
=200?200/100=200?200/100
=400Ω= 400 \,\Omega
So, For 160V160 \,V supply ,
as V=IRV = I\, R
So, I=160400=0.4AI = 160400=0.4 \,A
Power Consumption ,
P=VIP = V\, I
=160?0.4= 160 ?0.4
=64W= 64 \,W