A coil of 360 turns is linked by a flux of 200 μ Wb. If the flux is reversed in 0.01 second, then find the EMF induced in the coil.

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SSC JE EE Previous Year Paper 15 (Held On: 26 Sep 2019 Evening)
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  1. 7.2 V
  2. 0.72 V
  3. 14.4 V
  4. 144

Answer (Detailed Solution Below)

Option 3 : 14.4 V
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Detailed Solution

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Concept:

Average induced emf is given by \(E = N\frac{{d\phi }}{{dt}}\)

Where N is the number of turns

dϕ is changing in flux

dt is changing in time

Calculation:

Given that, number of turns (N) = 360

Change in time (dt) = 0.01 s

Magnetic flux (ϕ) = 200 μWb

Since the flux is reversed, it changes from 200 μWb to -200 μWb, which is a change of 200 – (-200), i.e. 400 μWb

Change in magnetic flux (dϕ) = 400 μWb

\(E = 360 \times \frac{{400 \times {{10}^{ - 6}}}}{{0.01}} = 14.4\;V\)

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