Change in magnetic flux in coil of 30 turns is 0.1 weber / second. What is the value of induced EMF?

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  1. 30 V
  2. -3 V
  3. 300 V
  4. -300V

Answer (Detailed Solution Below)

Option 2 : -3 V
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Detailed Solution

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Explanation:

Induced EMF Calculation in a Coil:

Electromotive force (EMF) is generated in a coil when there is a change in magnetic flux through the coil. This phenomenon is explained by Faraday's Law of Electromagnetic Induction, which states that the induced EMF is proportional to the rate of change of magnetic flux.

Faraday's Law:

Mathematically, Faraday's Law can be expressed as:

EMF = -N × (ΔΦ / Δt)

Where:

  • N: Number of turns in the coil
  • ΔΦ: Change in magnetic flux (in Weber)
  • Δt: Time interval during which the change occurs (in seconds)
  • EMF: Electromotive force (in Volts)

The negative sign in the formula indicates Lenz's Law, which states that the induced EMF opposes the change in magnetic flux that produces it.

Given Data:

  • Number of turns in the coil, N = 30
  • Change in magnetic flux, ΔΦ = 0.1 Weber
  • Time interval, Δt = 1 second

Step-by-Step Solution:

Using the formula for Faraday's Law:

EMF = -N × (ΔΦ / Δt)

Substitute the values:

EMF = -30 × (0.1 / 1)

Simplify the expression:

EMF = -30 × 0.1

EMF = -3 Volts

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