An inductor of inductance L , a capacitor of capacitance C and a resistor of resistance R are connected in series to an ac source of potential difference V volt as shown in figure.Potential difference across L , C and R is 40 V , 10 V and 40 V , respectively. The amplitude of current flowing through L-C-R series circuit is 10 2 A . The impedance of the circuit is :

Question

An inductor of inductance L , a capacitor of capacitance C and a resistor of resistance R are connected in series to an ac source of potential difference V volt as shown in figure.Potential difference across L , C and R is 40 V , 10 V and 40 V , respectively. The amplitude of current flowing through L-C-R series circuit is 10 2 A . The impedance of the circuit is :, 4 2 Ω, 5 / 2 Ω, 5 Ω, 4 Ω

MARKS App · Accepted Answer

V = V R 2 + V C - V L 2 = 40 2 + ( 10 - 40 ) 2 = 50 v o l t i rms = V r m s Z ⇒ Z = v r m s i r m s ⇒ Z = V r m s × 2 10 ⇒ Z = 2 × 50 10 2 ⇒ Z = 5 Ω

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