Power in AC Circuit and Wattless Current

IMPORTANT

Power in AC Circuit and Wattless Current: Overview

This topic covers concepts, such as, Power in AC Circuit, Instantaneous Power in AC Circuit, Average Power in AC Circuit, Power Factor in AC Circuit, Form Factor, Wattless Current, Apparent Power in AC Circuit & True Power in AC Circuit etc.

Important Questions on Power in AC Circuit and Wattless Current

HARD
IMPORTANT

A series LCR circuit is made by taking R=100 Ω,L=2πH,C=100πμF . This series combination is connected across an a.c. source of 220 V, 50 Hz. Calculate (i) the impedance of the circuit and
(ii) the peak value of the current flowing in the circuit.
(iii) Calculate the power factor of this circuit.

EASY
IMPORTANT

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

  V=230sin( ωt+ π 2 )andI=10sinωt?

EASY
IMPORTANT

The true power in an AC circuit should be measured in __________________?

EASY
IMPORTANT

The three types of power in AC circuits are _______________, ______________, and ________________ power

EASY
IMPORTANT

Real or true power do the actual work in the _____?

EASY
IMPORTANT

The true power is measured in watts and signifies the power drawn by the circuits resistance to do useful works.

EASY
IMPORTANT

How do you find the true power in an AC circuit?

EASY
IMPORTANT

The form factor is the ratio of 

EASY
IMPORTANT

Find the form factor of the wave form given in figure-

Question Image

EASY
IMPORTANT

Form factor of a sawtooth waveform with a period of 3 sec and a peak voltage of 150 V is-

EASY
IMPORTANT

The rms value of sinusoidally varying current is_____. That of its average value.

EASY
IMPORTANT

The form factor of the sinusoidal waveform is ?

MEDIUM
IMPORTANT

The potential difference V and the current I flowing through an A.C circuit is given by V=5 cos(ωt-π6) in volt  and I=10 sinωt in ampere. The average power dissipated in the circuit is:

EASY
IMPORTANT

Effective voltage Vrms is related to peak voltage V0 by

MEDIUM
IMPORTANT

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

E=100sin30t

I=20 sin30t-π4

In one cycle of AC, the average power consumed by the circuit and the watt less current are, respectively:

EASY
IMPORTANT

The emf of an AC circuit is given by e=60 sin (53.141t) and the current by i=(60)10.628 sin (53.141t-π2). Then the power consumed by the circuit is _____.

EASY
IMPORTANT

An electric bulb marked as 50W-200V is connected across a 100V supply. The present power of the bulb is

HARD
IMPORTANT

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 n3πμF, then value of n is ________.

EASY
IMPORTANT

A direct current of 2 A and an alternating current having a maximum value of 2 A flow through two identical resistance. The ratio of heat produced in the two resistances will be :-

EASY
IMPORTANT

In an alternating current circuit, Some elements are connected in series, out of them, a bulb is used as the resistor. If we increase the frequency of alternating source, the brightness of the bulb also changes, which is given in List-I. According to change in the brightness, select the correct elements given in List-II.

List-I  List-II
(P) If the brightness of the bulb increases, then
the elements should be:
(1) Inductor and resistor
(Q) If the brightness of the bulb decreases then
the elements should be
(2) Capacitor and resistor
(R) If the brightness of the bulb first increases
and then decreases, the elements should
be
(3) Only resistor
(S) If brightness does not change significantly
then the elements should be
(4) Inductor, capacitor and resistor