First slide

Electrical power

Question

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

Moderate

A

64 W
B

80 W
C

100 W
D

125 W

Solution

Resistance of the bulb
$R = \frac{V^{2}}{P} = \frac{(200)^{2}}{100} = 400 Ω$
Now power consumed
$P = \frac{{(source voltage)}^{2}}{R} = \frac{(160)^{2}}{400} = 64 W$

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