The reactance of a coil when used in the dome | vedclass

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(D) The inductive reactance $X_L$ is given by the formula: $X_L = 2 \pi 
u L$, where $
u$ is the frequency and $L$ is the inductance.Given: $X_L = 5

Vedclass · Accepted Answer

$0.16$

Vedclass · Answer

(D) The inductive reactance $X_L$ is given by the formula: $X_L = 2 \pi 
u L$, where $
u$ is the frequency and $L$ is the inductance.Given: $X_L = 50 \, \Omega$ and $
u = 50 \, Hz$.Rearranging the formula for $L$: $L = \frac{X_L}{2 \pi 
u}$.Substituting the values: $L = \frac{50}{2 	imes 3.14 	imes 50} = \frac{1}{2 	imes 3.14} = \frac{1}{6.28} \approx 0.159 \, H$.Rounding to two decimal places, we get $L \approx 0.16 \, H$.

The reactance of a coil when used in the domestic $AC$ power supply $(220 \, V, 50 \, Hz)$ is $50 \, \Omega$. The inductance of the coil is nearly: (in $H$)

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