Question 7.5 :
In Exercises 7.3 and 7.4, what is the net power absorbed by each circuit over a complete cycle? Explain your answer
a) In the case of the inductive network, we know that
the RMS current value is I = 15.92 A
the RMS voltage value is V = 220 V
Therefore, the total power taken in can be derived by the following equation :
P = VI cos Φ
Here,
Φ is the phase difference between V and I
In the case of a purely inductive circuit, the difference in the phase of an alternating voltage and an alternating current is 90°,
i.e., Φ = 90°.
Therefore, P = 0
i.e., the total power absorbed by the circuit is zero.
b) In the case of the capacitive network, we know that
The value of RMS current is given by, I = 2.49 A
The value of RMS voltage is given by, V = 110 V
Thus, the total power absorbed is derived from the following equation :
P = VI Cos Φ
For a purely capacitive circuit, the phase difference between alternating Voltage and alternating current is 90°
i.e., Φ = 90°.
Thus , P = 0
i.e., the net power absorbed by the circuit is zero.
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