Question):- A capacitor and a resistor are connected in series with an a c source If the - Physics - Alternating Current

Question

Question):- A capacitor and a resistor are connected in series with
an a c source If the potential difference across C, R are 120V, 90V
respectively and if the r m s current of the circuit is 3A,
calculate the-
1 Impedance
2 Power factor of the circuit

Deepak Kumar · Accepted Answer

Dear Student ,

Potential difference across the resistor  VR =  90 V,  so     90 = IR
Potential difference across the Capacitor  VC =  120 V,  so     120 = I1ωC
Therefore   V =  VR2+VC2 =902+1202 =8100+14400 = 22500 =150
 1   But               Z  =   V / I= 150 /3  = 50 ohm
  2
   we know    tanϕ = VCVR = 12090 =43
This implies that   cosϕ =35
So power factor = cosϕ  = 35Answers are correct
Regards

Question):- A capacitor and a resistor are connected in series with an a.c. source. If the potential difference across C, R are 120V, 90V respectively and if the r.m.s. current of the circuit is 3A, calculate the- 1. Impedance 2. Power factor of the circuit.

Question):- A capacitor and a resistor are connected in series with an a.c. source. If the potential difference across C, R are 120V, 90V respectively and if the r.m.s. current of the circuit is 3A, calculate the-
1. Impedance
2. Power factor of the circuit.