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

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

Alternating Current

Solution:

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