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

The average reactive power is
`I_(rms)V_(rms) cos \phi`

Step-by-step 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) = (I_o)/(√(2))`

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

the root-mean-square voltage is given by;

`V_(rms) = (V_o)/(√(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`