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Question

A 100 W resistor is connected to a 220 V, 50 Hz ac supply. (a) What is the rms value of current in the circuit? (b) What is the net power consumed over a full cycle?

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Solution

Given: The values of resistor is 100 Ω and the supply voltage is 100 V.

(a)

The RMS current is given as,

I= V R

Where, the supply voltage is V and the value of resistor is R.

By substituting the given values in the above equation, we get,

I= 220 100 =2.2A

Thus, the value of RMS current in the conductor is 2.2 A.

(b)

Power consumed over a full cycle is given as,

P=VI

Where, the supply voltage is V and the RMS current is I.

By substituting the given values in the above equation, we get

P=220×2.2 =484W

Thus, power consumed over a full cycle is 484 W.


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