The voltage and current in a series AC circuit are given by
and
What is the power dissipated in the circuit?
Zero.
Given:
Voltage
Current
Formula used:
The power dissipated in a series AC circuit is given by
… (i),
where Vrms = root mean square value of voltage,
irms = root mean square value of current,
ɸ = phase difference between voltage and current
Now, … (ii), where i0 = peak value of current, ω = angular frequency of oscillation, t = time
Sincewe can say that the phase difference between the voltage and the current is
Substituting this value in (i), we get
P = 0 (since )
Hence, the power dissipated in the given ac circuit is zero. (Ans)