Question:

An increase in magnetic flux through a coil of 100 turns in 0.1 s is 0.001 Wb. The maximum induced EMF generated in the coil is

Updated On: Apr 27, 2025
  • 1 V
  • 10 V
  • 0.1 V
  • 100 V
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The Correct Option is A

Solution and Explanation

According to Faraday's Law of Induction, the induced electromotive force (EMF) in a coil is given by: $$\text{EMF} = -N \frac{\Delta \Phi}{\Delta t}$$ 

Where:  $N$ is the number of turns in the coil  $\Delta \Phi$ is the change in magnetic flux  $\Delta t$ is the change in time In this case: $N = 100$  $\Delta \Phi = 0.001 \text{ Wb}$ $\Delta t = 0.1 \text{ s}$ 

Plugging in the values, we get: $$\text{EMF} = -100 \times \frac{0.001 \text{ Wb}}{0.1 \text{ s}} = -100 \times 0.01 \text{ V} = -1 \text{ V}$$ 

The magnitude of the induced EMF is 1 V.

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