Question

n a single-phase AC circuit, for a general load composed of RLC elements under sinusoidal-steady-state excitation, the average reactive power is given by

Answer 1

Answer:

The  average reactive power is $I_{rms}V_{rms} cos \phi$

Explanation:

For a single-phase AC circuit;

the peak current in the circuit is given as  $I_o$

the root-mean-square current is given by;

$I_{rms} = \frac{I_o}{\sqrt{2}}$

the peak voltage in the circuit is given as $V_o$

the root-mean-square voltage is given by;

$V_{rms} = \frac{V_o}{\sqrt{2} }$

The average reactive power is given by

$P_{avg} = I_{rms}V_{rms} cos \phi$

where;

$cos \phi \ is \ the \ power \ factor$

Therefore, the  average reactive power is $I_{rms}V_{rms} cos \phi$