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Current through a coil of self-inductance 10 mH increases from 0 to 1 A in 0.1 s. What is the induced emf in the coil?

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प्रश्न

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A current through a coil of self-inductance 10 mH increases from 0 to 1 A in 0.1 s. What is the induced emf in the coil?

विकल्प

  • 0.1 V

  • 1 V

  • 10 V

  • 0.01 V

MCQ
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उत्तर

0.1 V 

Explanation:

Step 1: 

Let e = the induced emf in the coil

Substitute the given values from Question,

Let, self-inductance = L

Change in current = dI

Change in time = dt

`L = 10 mH`  .....(1)

`dI = 1 - 0`

= 1A  ......(2)

`dt = 0.1s`  .....(3)

Applying the concept of Self Inductance or Inductance of the coil.

We get, e =`L (dI)/(dt)`  .....(4)

Step 2:

Substitute from (1), (2), (3) and (4) and calculate:

e = `L (dI)/(dt)`

e =`10 xx 10^-3 xx 1/0.1`

e = `0.1v`

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अध्याय 12: Electromagnetic induction - Exercises [पृष्ठ २८६]

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बालभारती Physics [English] Standard 12 Maharashtra State Board
अध्याय 12 Electromagnetic induction
Exercises | Q 1.4 | पृष्ठ २८६

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