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The same AC voltage is applied across a resistor and a capacitor, and the same rms current exists in each. Do both dissipate the same average power?

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Important Questions on Alternating Current

EASY
What is power dissipation in an a.c. circuit in which voltage and current are given by
V=300sinωt+π/2,I=5sinωt ?
MEDIUM
The power factor of R-L circuit is 13. If the inductive reactance is 2Ω. The value of resistance is
EASY
A current I=I0sinωt-π2 flows in an AC circuit, if potential E=E0sinωt has been applied. The power consumption in the circuit will be
EASY
In an AC circuit, current is 3 A and voltage 210 V and power is 63 W. The power factor is
MEDIUM
The potential differences across the resistance, capacitance, and inductance are 80 V, 40 V and 100 V, respectively in an LCR circuit. The power factor of this circuit is
EASY
In an a.c. circuit containing L, C, R in series, the ratio of true power to apparent power is (Z= impedance of the circuit, R= resistance, ϕ= phase difference between the r.m.s. values of current and e.m.f.)
MEDIUM
In an AC circuit, the current flowing is I=5sin100t-π2A and the potential difference is e=200sin(100t). The power consumption is equal to
EASY
A sinusoidal A.C. current flows through a resistor of resistance 10 Ω. If the peak current is 2 A flowing through the resistor, then the power dissipated in _____ W.
EASY
In series LCR circuit R=18 Ω and impedance is 33 Ω. An RMS voltage of 220 V is applied across the circuit. The true power consumed in the AC circuit is
EASY
An alternating voltage V=V0sinωt is applied across a circuit and as a result, a current I=I0sinωt+π2  flows in it. The power consumed per cycle is
MEDIUM
A lamp consumes only 50% of maximum power in an A.C. circuit. What is the phase difference between the applied voltage and the circuit current?
MEDIUM
An inductor 20mH, a capacitor 50 μF and a resistor 40 Ω are connected in series across a source of emf V=10 sin 340 t. The power loss in AC  circuit is:
EASY
In a series LR circuit, power of 400 W is dissipated from a source of 250 V, 50 Hz. The power factor of the circuit is 0.8. In order to bring the power factor to unity, a capacitor of value C is added in series to the L and R. Taking the value of C as n3π μF, then value of n is 
EASY
In the series LCR circuit, the power dissipation is through:
EASY
A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R=8 Ω,L=24 mH and C=60 μF. The value of power dissipated at resonant condition is x kW. The value of x to the nearest integer is _______.
EASY
A resistor of 20Ω and a capacitor are connected in series with an AC current source of 50 Hz. What should be the capacitance to produce a phase difference of 30° between the voltage and current?
HARD

Two circuits are shown in figure (a) and (b). At a frequency of _______ rad s-1 the average power dissipated in one cycle will be the same in both the circuits.

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MEDIUM
In an A.C. circuit, the instantaneous e.m.f. and current are given by, E=100sin30t,I=20sin30t-π4. In one cycle of A.C., the average power consumed by the circuit (in watt) and the watt-less current (in ampere) are, respectively:
HARD
A series AC circuit containing an inductor 20 mH, a capacitor 120 μF and a resistor 60 Ω is driven by an AC source of 24 V/50 Hz. The energy dissipated in the circuit in 60 s is:
MEDIUM
An inductor 20 mH, capacitor 100 μF and a resistor 50 Ω are connected in series across a source of emf, V= 10sin⁡(314t⁡). The power loss in the circuit is