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Question

A heater is designed to operate with a operator with a power of 1000W in a 100V line. It is connected to two resistance of 10Ω and RΩ as shown in figure. If the heater is now operating with a power of 62.5W. Calculate the value of R(inohm)
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Solution

Resistance of heater,
R=10021000=10Ω
When heater is in the circuit, let potential difference across heater be V, then
62.5=V210V2=625
V=25volt
Therefore, current through heater
I2=2510=2.5A
Voltage drop across 10Ω resistor connected in series of the heater =10025=75volt
Main current =7510=7.5A
Current through resistance R=7.52.5=5A
Resistance R=255=5Ω

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