Question 220: AC fundamentals

Question

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 $${1 \over {K\pi }}$$ mH. The value of K is ____________.

Accepted Answer

$${V_L} = 2{V_R}$$
So $$\omega Li = 2\,Ri$$
$$ \Rightarrow L = {{2R} \over \omega } = {{2 	imes 5} \over {2\pi  	imes 50}} = {1 \over {10\pi }}H = {{100} \over \pi }H$$
So $$k = {1 \over {100}} \simeq 0$$

AC fundamentals

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 ${1 \over {K\pi }}$ mH. The value of K is ____________.

Integer / Numeric Answer Type