Question

a 220-vrms, 50-hz source is applied to a load impedance z. the apparent power entering the load is 200 va at a power factor of 0.8 lagging. a) calculate the complex power. b) find the rms current supplied to the load c) determine z

Answer 1

To calculate the complex power, real power, RMS current, and load impedance in an AC circuit with given values of RMS voltage, apparent power, and power factor.

Step-by-step explanation:

To calculate the complex power, we first need to calculate the real power, which is given by the formula P = Apparent Power x Power Factor. In this case, the real power is 200 VA x 0.8 = 160 W. The complex power is then given by the equation S = P + jQ, where Q is the reactive power. Since the power factor is lagging, Q is negative. Therefore, the complex power is 160 - jQ.

The RMS current supplied to the load can be calculated using the formula I = S / V, where V is the RMS voltage. In this case, the RMS current is (160 - jQ) / 220.

To determine the load impedance, we can use the formula Z = V/I, where V is the RMS voltage and I is the RMS current. In this case, the load impedance is 220 / (160 - jQ).