Q. In the adjoining circuit diagram of a , find the heat developed in and the amplitude of wattless current.

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A

B

C

D

Solution:

For any series circuit, the heat generated in the circuit is given by :

Where is the power generated by the circuit and denotes the period of time for which the current flows in the circuit.
Also,
Where,
Hence,
CALCULATION OF CURRENT :
Maximum value of current in the given circuit is :

where as given and is given by:

Now, we need to calculate RMS value as:
CALCULATION OF HEAT:
Putting these value in the above heat equation, we get

CALCULATION OF WATTLESS CURRENT:
The Amplitude of wattless current is given as:

Where,
Substituting the values from question:

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