7.Alternating Current
medium

$A$ $20\,volts$ $ac$ is applied to a circuit consisting of a resistance and a coil with negligible resistance. If the voltage across the resistance is $12\, V$, the voltage across the coil is.....$volts$

A

$16 $

B

$10$

C

$8$

D

$6$

Solution

(a) The voltage across a $L-R$ combination is given by
${V^2} = V_R^2 + V_L^2$
${V_L} = \sqrt {{V^2} – V_R^2} = \sqrt {400 – 144} = \sqrt {256} = 16\,\,volt.$

Standard 12
Physics

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