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1P AC Circuits

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#1📜 EE Pre-Board March 2014📘 PowerhouseHard
A series RL circuit in which R = 5 Ω and L = 20 mH has an applied voltage \(e = 100 + 50\sin\omega t + 25\sin 3\omega t\), with ω = 500 rad/s. Determine the power dissipated in the resistor of the circuit.
A2,510 W
B2,234 W
C2,302 W
D2,052 W
#2📜 EE Pre-Board March 2015📘 PowerhouseHard
A coil of 50-ohm resistance and 150 mH inductance is connected in parallel with a 50 μF capacitor. What is the power factor of the circuit?
A70% lagging
B70% leading
C80% lagging
D80% leading
#3📜 EE Pre-Board August 2017📘 PowerhouseHard
A coil of 50 Ω resistance and 150 mH inductance is connected in parallel with a 50 μF capacitor. The source voltage is \(100\sin(\omega t + 30^\circ)\) V at 60 Hz. What is the equation of the line current?
A\(1.25\sin(\omega t - 15.5^\circ)\)
B\(1.77\sin(\omega t + 75.5^\circ)\)
C\(1.25\sin(\omega t + 75.5^\circ)\)
D\(1.88\sin(\omega t - 18.5^\circ)\)

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