In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f=50 Hz, the inductance of the coil is (1/ K π) mH. The value of K is

Question

In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f=50 Hz, the inductance of the coil is (1/ K π) mH. The value of K is  (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

V L = V C =2 V R X L = X C =2 R X L =10 Ω ω L =10 2 π f =10 L =(10/2 π f )=(1/10 π) H =(1000/10 π) mH L =(1/(1)100 π) ; K =(1/100)=0.01 ≈ 0

Q. In the given circuit, the magnitude of $V_{L}$ and $V_{C}$ are twice that of $V_{R}$ . Given that $f = 50 Hz$ , the inductance of the coil is $\frac{1}{K π} m H$ . The value of $K$ is _____

$V_{L} = V_{C} = 2 V_{R}$
$X_{L} = X_{C} = 2 R$
$X_{L} = 10 Ω$
$ω L = 10$
$2 π f = 10$
$L = \frac{10}{2 π f} = \frac{1}{10 π} H = \frac{1000}{10 π} m H$
$L = \frac{1}{\frac{1}{100} π}; K = \frac{1}{100} = 0.01 \approx 0$

Q. In the given circuit, the magnitude of VL​ and VC​ are twice that of VR​. Given that f=50Hz, the inductance of the coil is Kπ1​mH. The value of K is _____

VL​=VC​=2VR​ XL​=XC​=2R XL​=10Ω ωL=10 2πf=10 L=2πf10​=10π1​H=10π1000​mH L=1001​π1​;K=1001​=0.01≈0

Q. In the given circuit, the magnitude of $V_{L}$ and $V_{C}$ are twice that of $V_{R}$ . Given that $f = 50 Hz$ , the inductance of the coil is $\frac{1}{K π} m H$ . The value of $K$ is _____

$V_{L} = V_{C} = 2 V_{R}$
$X_{L} = X_{C} = 2 R$
$X_{L} = 10 Ω$
$ω L = 10$
$2 π f = 10$
$L = \frac{10}{2 π f} = \frac{1}{10 π} H = \frac{1000}{10 π} m H$
$L = \frac{1}{\frac{1}{100} π}; K = \frac{1}{100} = 0.01 \approx 0$