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A 100 Ω resistor is connected to a 220 V and 50 Hz ac supply.

(a) What is the rms value of current in the given circuit?

(b) What will be the net power consumed over a full cycle?

Assume:

The resistor’s resistance R is 100.

220 V is the source voltage.

The supply has a 50 Hz frequency.

a)We use the following relationship to determine the RMS value of the current in the connection:

We get by substituting values:

As a result, the current in the connection has an RMS value of 2.20 A

b)The following calculation can be used to compute the total power consumed throughout

 the course of a cycle:

We get by substituting values in the above equation :

As a result, the total power used is 484 W.