Calculate RMS Of Voltage And Current And Calculate Total Power Supplied And Power Factor In Circuit

Question

The voltage applied to a circuit and the resulting current flowing in the circuit are given by the following equations:

v = 100 sin wt + 22sin[3wt -∏/6] + 8 sin [5wt - ∏/4] volts

i = 5 sin[wt + ∏/3] + 19.1 sin 3 wt + 0.76 sin (5wt – 0.452) amperes

Determine:

(i) the root mean square(rms) value of the voltage,

(ii) the root mean square(rms) value of the current,

(iii) the total power supplied to the circuit,

(iv) the apparent power supplied to the circuit and,

(v) the power factor of the circuit

All the relevant formulae and equations used in the solutions should be clearly stated.

Use the most appropriate theories and equations used in the solutions should be clearly stated.

Summary

The question belongs to Electrical Engineering and it discusses about calculating root mean square of voltage, current, total power supplied in the circuit and the power factor of the circuit.

Total Word Count 66