An inductor of 0.5 mH, a capacitor of 20 μ F and resistance of 20 Ω are connected in series with a 220 V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is √x A. The value of x is -

Question

An inductor of 0.5 mH, a capacitor of 20 μ F and resistance of 20 Ω are connected in series with a 220 V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is √x A. The value of x is - (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

XL=XC So, Z=R=20 Ω i rms =(220/20)=11 i max =11 √2=√242

Q. An inductor of $0.5 m H$ , a capacitor of $20 μ F$ and resistance of $20 Ω$ are connected in series with a $220 V$ ac source. If the current is in phase with the emf, the amplitude of current of the circuit is $x$ A. The value of $x$ is -

$X_{L} = X_{C}$
So, $Z = R = 20Ω$
$i_{r m s} = \frac{220}{20} = 11$
$i_{m a x} = 112 = 242$

Q. An inductor of 0.5mH, a capacitor of 20μF and resistance of 20Ω are connected in series with a 220V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is x​ A. The value of x is -

XL​=XC​ So, Z=R=20Ω irms​=20220​=11 imax​=112​=242​

Q. An inductor of $0.5 m H$ , a capacitor of $20 μ F$ and resistance of $20 Ω$ are connected in series with a $220 V$ ac source. If the current is in phase with the emf, the amplitude of current of the circuit is $x$ A. The value of $x$ is -

$X_{L} = X_{C}$
So, $Z = R = 20Ω$
$i_{r m s} = \frac{220}{20} = 11$
$i_{m a x} = 112 = 242$