The specification on a heater coil is 250V, 500W. Calculate the resistance of the coil. What will be the resistance of a coil of 1000W to operate at the same voltage?
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  1. The power consumed by a coil of resistance R when connected across a supply v is $\text{P}=\frac{\text{v}^2}{\text{R}}$
The resistance of the heater coil is, therefore $\text{R}=\frac{\text{v}^2}{\text{P}}=\frac{(250)^2}{500}=125\Omega$
  1. If,  $\text{P}=1000\text{w}$
then, $\text{R}=\frac{\text{v}^2}{\text{P}}=\frac{(250)^2}{1000}=62.5\Omega$
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