(A) In an $L-R$ series circuit,the total applied voltage $V$ is the phasor sum of the voltage across the resistor $V_R$ and the voltage across the ind

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(A) In an $L-R$ series circuit,the total applied voltage $V$ is the phasor sum of the voltage across the resistor $V_R$ and the voltage across the inductor $V_L$.The relationship is given by $V^2 = V_R^2 + V_L^2$.Given: $V = 20\,V$ and $V_R = 12\,V$.Substituting the values: $20^2 = 12^2 + V_L^2$.$400 = 144 + V_L^2$.$V_L^2 = 400 - 144 = 256$.$V_L = \sqrt{256} = 16\,V$.Therefore,the voltage across the coil is $16\,V$.

Class 12 Physics Alternating Current RL, RC and LC AC Circuits

Medium

$20\,V$ $AC$ 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.....$V$.

A
$16$
B
$10$
C
$8$
D
$6$

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Alternating Current

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RL, RC and LC AC Circuits

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$20\,V$ $AC$ 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.....$V$.

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