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An electric heater consumes energy at the rate of $650 W$ when heating is maximum,

If the voltage applied is $220 V$ , find the resistance and current in each case.

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75.1 Ω, 2.95 A

70 Ω, 2.75 A

78.1 Ω, 1.95 A

72.1 Ω, 3.2 A

answer is A.

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Detailed Solution

An electric heater consumes energy at the rate of

650 W

when heating is maximum,
If the voltage applied is

220 V

, the resistance and the current are

75.1 Ω

and

2.95 A

, respectively.
Given,

V = 220 V

and

P_{\max} = 650 W

I_{\max} = \frac{P_{\max}}{V}

{\Rightarrow I}_{\max} = \frac{650}{220}

{\Rightarrow I}_{\max} = \frac{65}{22} A

{\Rightarrow I}_{\max} = 2.95 A

The minimum resistance of the heater coil,

R_{\min} = \frac{V}{I_{\max}}

\Rightarrow R_{\min} = \frac{220}{(\frac{65}{22})}

\Rightarrow R_{\min} = \frac{220 \times 22}{65}

\Rightarrow R_{\min} = 75.1 Ω

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