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Consider the circuit shown in Figure 3C.3. Find the phasor current I. Find the p

ID: 1921667 • Letter: C

Question

Consider the circuit shown in Figure 3C.3. Find the phasor current I. Find the power, reactive power, and apparent power delivered by the source. Find the power factor and state whether it is lagging or leading? Figure 3C.3

Explanation / Answer

a) ZR=10 ohms ZL¬=j(.5)(377)= j189 ohms As ZR II ZL , so Z = (10)(j189) / (10+j189) Now I= V/Z I= 1414(10+j189) / j1890 Sove it to get current ,than convert to phasor format. May be it would be like 141Cos(377t - 3.03); b) Average power= 1/2 { (Vmax)(Imax) COS(Ov - Oi)} ------> Ov is for phase angle of voltage -------> Oi is for phase angle of current P=1/2{ (1414)(141) Cos(0+3.03)} Sove it to get Answer... c) Reactive power= 1/2 { (Vmax)(Imax) Sin(Ov - Oi)} Sove it to get Answer... d) From power trinagle , Apprant power=Sqrt ( Actual power^2 + Reactive Power ^2) Sove it to get Answer... e) Power Factor=Cos(Ov - Oi) Sove it to get Answer... I think this would be helpful....