When 100 ,volt dc is applied across a coil, a current of 1 ,amp f… - Vidyadip

MCQ

When $100\,volt$ $dc$ is applied across a coil, a current of $1 \,amp$ flows through it. When $100\,volt$ $ac$ at $50$ cycle ${s^{ - 1}}$ is applied to the same coil, only $0.5$ ampere current flows. The impedance of the coil is.......$\Omega $

A
$100$
✓
$200$
C
$300$
D
$400$

✓

Answer

Correct option: B.

$200$

b
(b) When $dc$ is supplied $R = \frac{V}{i} = \frac{{100}}{1} = 100\,\Omega \,$
When $ac$ is supplied $Z = \frac{V}{i} = \frac{{100}}{{0.5}} = 200\,\Omega \,$

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