In a L-C-R circuit the potential diffcrcnce between the terminals of the inductance is 60 ~V , between the terminals of the capacitor is 30 ~V and that between the terminals of resistance is 40 ~V . The supply voltage will be equal to

Step-by-step solution

The L-C-R circuit in series combination and phasor diagram is given below According to the question, Potential difference across resistor, V_ R =40 ~V Potential difference across inductor, V_ L =60 ~V Potential difference across capacitor, V_ C =30 ~V Magnitude of potential difference supplied is given by aligned V &= V_ R ²+ (V_ L -V_ C )² = 40²+(60-30)² &= (40)²+(30)² = 2500 &=50 ~V aligned