Question) The A C voltage and the current in an L-C-R A C series circuit are given by - Physics - Alternating Current

Question

Question) The A C voltage and the current in an L-C-R A C series
circuit are given by the following expression V = 200 2   cos
  300 t - 55 °   V ,   1 = 10 2   cos
  3000 t - 10 ° A Calculate the impedance and the
resistance (R) of the above circuit

Decoder_2 · Accepted Answer

Dear student,Resistance = VoIoOn comparing the given equation of voltage and current with standard equation we will get,Vo=200 VIo=10AResistance=20010=20ohmSince the circuit will be in resonance and we know for LCR circuit, XL=XCSo impedence (Z) =R2+(XL-XC)2Since XL=XC, soZ= R=20 ohmRegards

Question) The A.C. voltage and the current in an L-C-R A.C. series circuit are given by the following expression. V = 200 2 cos 300 t - 55 ° V , 1 = 10 2 cos 3000 t - 10 ° A . Calculate the impedance and the resistance (R) of the above circuit.

Question) The A.C. voltage and the current in an L-C-R A.C. series circuit are given by the following expression. $V = 200 \sqrt{2} \cos (300 t - 55 °) V, 1 = 10 \sqrt{2} \cos (3000 t - 10 °) A .$ Calculate the impedance and the resistance (R) of the above circuit.