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Series Combination of Cells

An alternatin...

Question

An alternating current source of frequency 100Hz is joined to combination of a resistance, a capacitance and a coil in series. The potential difference across the coil, the Resistance and the capacitor is 46,8 and 40 volt respectively. The electromotive force of alternating current source in volt is

A

94

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B

14

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C

10

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D

76

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Solution

The correct option is C 10
Given,
$V_{L} = 46$ volts , $V_{C} = 40$ volts , $V_{R} = 8$ volts
E.M.F of source $V = \sqrt{8^{2} + (46 - 40)^{2}} = 10$ volts

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