1. For the RLC circuit shown in Fig.1, derive expression of ac power. Also derive the expressions of real power, reactive power and apparent power of the circuit XXXXXXXXXXR L C — i(1) W(t) = Vy sinot...

1. For the RLC circuit shown in Fig.1, derive expression of ac power. Also derive the expressions of real power, reactive power and apparent power of the circuit. (2+3) R L C — i(1) W(t) = Vy sinot Fig. 1 The input voltage shown in Fig.2 is given by 70.7sin(ot+6.87°). Consider the angular frequency of the input voltage is 314 rad/s. Consider R as the sum of all digits of your ID divided by 6 in ohm. () (i) (iii) (iv) (v) (vi) Calculate and draw the impedance diagram. (2) Calculate the total current and branch currents in time domain. (3) Draw the voltage and currents waveform on the same graph. Mention whether the circuit current is leading or lagging the input voltage? (2) Calculate the total current and branch currents in phasor form. Prove the KCL. (2+1) Verify (iii) using PSIM. (2) Calculate the real power, reactive power and apparent power of the circuit. (3)


Extracted text: For the RLC circuit shown in Fig.1, derive expression of ac power. Also derive the expressions of real power, reactive power and apparent power of the circuit. 1. (2+3) R L i(t) v(t) = Vm sinot Fig. 1 The input voltage shown in Fig.2 is given by 70.7sin(ot+6.87°). Consider the angular frequency of the input voltage is 314 rad/s. Consider R as the sum of all digits of your ID divided by 6 in ohm. (i) Calculate and draw the impedance diagram. (ii) Calculate the total current and branch currents in time domain. (iii) Draw the voltage and currents waveform on the same graph. Mention whether the circuit current is leading or lagging the input voltage? (iv) Calculate the total current and branch currents in phasor form. Prove the KCL. (2+1) (v) Verify (iii) using PSIM. (vi) Calculate the real power, reactive power and apparent power of the circuit. 2. (2) (3) (2)