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

Question

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 (A) 94 (B) 14 (C) 10 (D) 76

Tardigrade Admin · Accepted Answer

VL=46 volts, VC=40 volts, VR=8 volts E.M.F. of source, V=√82+(46-40)2=10 volts :

94

14

10

76

VL​=46 volts, VC​=40 volts, VR​=8 volts E.M.F. of source, V=82+(46−40)2​=10 volts :

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