The angular frequency of the alternating current in an LCR circuit is 100 rad/s. From the figure the voltage across the 60 Ω resistor is 15 V, across the inductor 20 V, and across the capacitor 10 V. Find the inductance of the coil and the capacitance of the condenser.

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Accepted Answer

(4) 0.8 H and 250 μF. Series current is common: from the resistor, I=(V_R)/R=(15)/(60)=0.25 A. X_L=(V_L)/I=(20)/(0.25)=80 Ω⇒ L=(X_L)/ω=(80)/(100)=0.8 H. X_C=(V_C)/I=(10)/(0.25)=40 Ω⇒ C=1/(ω X_C)=1/(100×40)=250 μF.

The angular frequency of the alternating current in an LCR circuit is 100 rad/s. From the figure the voltage across the 60 Ω resistor is 15 V, across the inductor 20 V, and across the capacitor 10 V. Find the inductance of the coil and the capacitance of the condenser.

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