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ElectricalBasic Electrical
PrevNext

When ╬╕ is zero, alternating EMF will be

A

Zero

B

One

C

Maximum

D

None of above

Correct Answer

тЪЩя╕П TE тАв Technical Direct FormulaElectricalBasic Electrical
Option A

Zero

Quick Summary:

Given: The instantaneous alternating electromotive force (EMF) is defined as a function of the angle theta, where e = EmE_{m}EmтАЛ sin(theta).

ЁЯУРMAMath SolutionDirect Formula
ЁЯУЛ Given

The instantaneous alternating electromotive force (EMF) is defined as a function of the angle theta, where e = EmE_{m}EmтАЛ sin(theta).

ЁЯФв Formula Used

e=EmsinтБб(╬╕)e = E_m \sin(\theta)e=EmтАЛsin(╬╕)

ЁЯУК Diagram / Illustration
╬╕\theta╬╕
eee
000
e=0e = 0e=0 at ╬╕=0\theta = 0╬╕=0
ЁЯФв Step-by-Step Solution
1

Identify the formula for alternating EMF

The instantaneous value of an alternating EMF produced by a rotating coil in a magnetic field is given by the sine function of the angle.

e=EmsinтБб(╬╕)e = E_m \sin(\theta)e=EmтАЛsin(╬╕)

2

Substitute the given value

We are given that the angle ╬╕\theta╬╕ is zero, so substitute ╬╕=0\theta = 0╬╕=0 into the equation.

e=EmsinтБб(0)e = E_m \sin(0)e=EmтАЛsin(0)

3

Calculate the result

Since the sine of zero degrees is zero, the resulting EMF is also zero.

e=Em├Ч0=0e = E_m \times 0 = 0e=EmтАЛ├Ч0=0

тЬЕ

A is correct because the instantaneous value of a sine wave at an angle of 0┬░0┬░0┬░ is always zero.

Core Concepts Used
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A.C. Fundamentals Sinusoidal Waveform Electromagnetic Induction
ЁЯТб EXAM TIP

This concept is fundamental to understanding the generation of AC voltage in alternators and transformers where the EMF is phase-shifted by 90┬░90┬░90┬░ relative to the magnetic flux.

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