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Power dissipated in an $LCR$ series circuit connected to an $A C$ source of EMF $E$ is

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Important Questions on Alternating Current

HARD

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

A series

A C

circuit containing an inductor

(20 mH),

a capacitor

(120 μ F)

and a resistor

(60 Ω)

is driven by an

A C

source of

24 V / 50 Hz .

The energy dissipated in the circuit in

60 s

is:

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

The power factor for series L-R circuit is :

MEDIUM

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

An inductor

20 mH

, a capacitor

50 μ F

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

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

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

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

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.)

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

An alternating voltage

V = V_{0} \sin ω t

is applied across a circuit and as a result, a current

I = I_{0} \sin (ω t + \frac{π}{2})

flows in it. The power consumed per cycle is

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

Current of

\frac{50}{π} Hz

frequency is passing through an A.C. circuit having series combination of resistance

R = 100 Ω

and inductor

L = 1 H

, then phase difference between voltage and current is?

MEDIUM

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

In an AC circuit, the current flowing is

I = 5 \sin (100 t - \frac{π}{2}) A

and the potential difference is

e = 200 \sin (100 t)

. The power consumption is equal to

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

In an

A C

circuit, current is

3 A

and voltage

210 V

and power is

63 W

. The power factor is

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

A resistor of

20 Ω

and a capacitor are connected in series with an

A C

current source of

50 Hz .

What should be the capacitance to produce a phase difference of

30 °

between the voltage and current?

MEDIUM

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

In an

A.C.

circuit, the instantaneous e.m.f. and current are given by,

E = 100 \sin 30 t

, I = 20 \sin (30 t - \frac{π}{4})

. In one cycle of

A.C.

, the average power consumed by the circuit (in watt) and the watt-less current (in ampere) are, respectively:

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

What is power dissipation in an a.c. circuit in which voltage and current are given by

V = 300 \sin (ω t + π / 2), I = 5 \sin ω t

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

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

(\frac{n}{3 π}) μF

, then value of

n

MEDIUM

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

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

MEDIUM

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

The power factor of

R - L

circuit is

\frac{1}{\sqrt{3}}

. If the inductive reactance is

2 Ω

. The value of resistance is

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

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

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

A sinusoidal voltage of peak value

250 V

is applied to a series

L C R

circuit, in which

R = 8 Ω, L = 24 mH

and

C = 60 μ F

. The value of power dissipated at resonant condition is

x

kW

. The value of

x

to the nearest integer is _______.

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

The equations of current and voltage in an a.c. circuit are

i = 2 sinωt

ampere and

V = 5 cosωt

volt respectively. Power loss in the circuit will be

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

In the series

LCR

circuit, the power dissipation is through:

EASY

Physics>Electricity and Magnetism>Alternating Current>Power in AC Circuits

A current

I = I_{0} \sin (ω t - \frac{π}{2})

flows in an

AC

circuit, if potential

E = E_{0} \sin ω t

has been applied. The power consumption in the circuit will be

Power dissipated in an LCR series circuit connected to an AC source of EMF E is

Important Questions on Alternating Current

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Power dissipated in an $LCR$ series circuit connected to an $A C$ source of EMF $E$ is