The magnetic flux through a 150 turns coil increases at the ra... | Technical Ability MCQ | Examoogle

Technical AbilityElectrical Machines and Electromagnetic Induction

The magnetic flux through a 150 turns coil increases at the rate of 0.08 wb/s. What is the induced EMF between the ends of the coil?

12 volts

20 volts

24 volts

120 volts

Correct Answer

⚙️ TE • Technical Concept & PrincipleTechnical AbilityElectrical Machines and Electromagnetic Induction

Option A

12 volts

Quick Summary:

The induced electromotive force (EMF) in a coil is determined by Faraday's Law of Electromagnetic Induction. The magnitude of the EMF is directly proportional to the product of the number of turns and the rate of change of magnetic flux.

⚙️TETechnical SolutionConcept & Principle

💡 Explanation

🔢 Key Formulas

$e = N \cdot \frac{d\Phi}{dt}$ — Faraday's Law of Electromagnetic Induction for an $N$ -turn coil

⚙️ Working Principle

According to Faraday's Law, when the magnetic flux linking a coil changes with respect to time, an EMF is induced across its terminals. For a coil with $N$ turns, the induced EMF ( $e$ ) is given by $e = N \times \frac{d\Phi}{dt}$ , where $\frac{d\Phi}{dt}$ is the rate of change of magnetic flux in Webers per second.

📌 Key Points

▸
The SI unit of induced EMF is Volts (V).
▸
The negative sign in the full expression $e = -N \frac{d\Phi}{dt}$ (Lenz's Law) indicates the direction of the EMF opposes the change in flux.
▸
The magnitude calculation relies on the absolute rate of change of flux.

✅ Advantages

▸
Foundation of electrical power generation
▸
Basis for transformer operation

❌ Disadvantages / Limitations

▸
Induced eddy currents can cause heating losses
▸
Requires time-varying magnetic fields

🛠️ Applications / Uses

▸
Electrical Transformers
▸
AC Generators and Induction Motors

📄 Additional Information

▸
Calculation: $N = 150$ , $\frac{d\Phi}{dt} = 0.08 \text{ Wb/s}$ . Therefore, $e = 150 \times 0.08 = 12 \text{ V}$ .
▸
Option B, C, and D are incorrect because they result from arithmetic errors in multiplying the turns by the rate of flux change.

📊 Diagram / Illustration

✅

A is correct — The induced EMF is calculated as the product of $150$ turns and $0.08 \text{ Wb/s}$ , which equals $12 \text{ Volts}$ .

Core Concepts Used

Click any tag to open in AI Tutor

Faraday's Law Electromagnetic Induction Magnetic Flux Linkage

💡 EXAM TIP

Remember that induced EMF is independent of the resistance of the wire; it only depends on the geometry of the coil and the rate of change of the magnetic flux linkage.

Was this solution helpful?

⚡ Practice on Android App · 4.8 ★

Solve 10,000+ More Questions with AI Tutor

Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.

Free Download • 100K+ Aspirants

Discussion (0)

Loading discussion...

PrevNext

Correct Answer

Solve 10,000+ More Questions with AI Tutor

Related Questions

Discussion (0)