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Q.

Two electric resistors have equal values of resistance R. Each can be operated with a power of 320 watts (w) at 220 volts. If the two resistors are connected in series to a 110 volts electric supply, then the power generated in each resistor is

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a

20 watts

b

90 watts

c

60 watts

d

80 watts

answer is D.

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Detailed Solution

$Resistance of the resistor R = \frac{V^{2}}{P} = \frac{220^{2}}{320}$

When these are connected in series, voltage across each other

$V_{s} = \frac{110}{2} = 55$

power generated in each resistor $P_{s} = \frac{V_{s}^{2}}{R}$

$\Rightarrow P_{S} = \frac{55^{2}}{\frac{220^{2}}{320}} = \frac{320}{4^{2}} = 20 W$

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Two electric resistors have equal values of resistance R. Each can be operated with a power of 320 watts (w) at 220 volts. If the two resistors are connected in series to a 110 volts electric supply, then the power generated in each resistor is