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Question

Question: The heating coils rating at 220 volt and producing 50 cal/sec heat are available with the resistance...

The heating coils rating at 220 volt and producing 50 cal/sec heat are available with the resistances 55Ω,6mu110Ω,6mu220Ω55\Omega,\mspace{6mu} 110\Omega,\mspace{6mu} 220\Omega and 440Ω440\Omega. The heater of maximum power will be of

A

440Ω440\Omega

B

220Ω220\Omega

C

110Ω110\Omega

D

55Ω55\Omega

Answer

55Ω55\Omega

Explanation

Solution

Ht=V2R\frac{H}{t} = \frac{V^{2}}{R}Ht1R\frac{H}{t} \propto \frac{1}{R}