Question

Find the angle (in degrees) of the current supplrearby a SUH2 A.C. sinusoidal voltage source if the source delivers an apparent power of S-18.3+j26.6 VA where the source voltage is described by the phasor diagram shown below. Vs Given that Vs-171 V e-21

Answer 1

"The given data is current supply is = 50 Hz AC apparent power ""s"" = 18.3 + j 26.6 VA Given that v_s = 171 v theta = 21 degree power factor Angle = Tan^- 1 (Q/p) Here Q = Reactive power P = Active power power factor angle = phi = tan^- 1 (Q/P) = tan^- 1 (26.6/18.3) lagging = tan^- 1 (1.4535) = 55.4722 phi = 55.47 degree lagging power factor is lagging because delivering positive reactive power. Angle between voltage and current = phi = 55.47 degree lagging \r\n Given voltage is making 2 i with x-axis Angle between V & G = 55.47 degree Here the +ve line sign is angle is lagging Then angle be and x-axis = 21 degree + 55.47 = 76.47 degree = 76.47 degree therefore, take the positive angle in clockwise direction with reference"