Correct Answer

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 = E_m sin(theta).

📋 Given

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

🔢 Formula Used

e=Emsin⁡(θ)e = E_m \sin(\theta)e=Em​sin(θ)

📊 Diagram / Illustration

🔢 Step-by-Step Solution

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=Emsin⁡(θ)e = E_m \sin(\theta)e=Em​sin(θ)

Substitute the given value

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

e=Emsin⁡(0)e = E_m \sin(0)e=Em​sin(0)

Calculate the result

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

e=Em×0=0e = E_m \times 0 = 0e=Em​×0=0

✅

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

Core Concepts Used

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A.C. Fundamentals Sinusoidal Waveform Electromagnetic Induction

💡 EXAM TIP

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

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