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RLC Circuit

An inductor a...

Question

An inductor and a resistor are connected to an ac supply of $50 V$ and $50 H z$ . If the voltage across the resistor is $40 V$ the voltage across the inductor will be:

A

10 V

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B

20 V

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C

30 V

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D

60 V

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Solution

The correct option is C $30 V$
Given: Supply voltage, $V_{S} = 50 V$
Voltage across resistor, $V_{R} = 40 V$

For an LR circuit:
Applied voltage $V_{S} = \sqrt{V_{R}^{2} + V_{L}^{2}}$
$\Rightarrow V_{L} = \sqrt{50^{2} - 40^{2}} = 30 V$

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