In an LCR series circuit, the potential difference across the terminals of the inductor, capacitor and resistor is 60 V, 30 V and 40 V respectively. Then supply voltage will be equal to

Step-by-step solution

Given: V_L = 60 V V_C = 30 V V_R = 40 V The supply voltage V in an LCR series circuit is given by the phasor sum of the voltages: V = V_R^2 + (V_L - V_C)^2 Substituting the given values: V = 40^2 + (60 - 30)^2 V = 40^2 + 30^2 V = 1600 + 900 V = 2500 = 50 V