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A Pair of Adjacent Coils Has a Mutual Inductance of 1.5 H. If the Current in One Coil Changes from 0 to 20 A in 0.5 s, What is the Change of Flux Linkage with the Other Coil? - Physics

A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?

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Solution

Mutual inductance of a pair of coils, µ = 1.5 H

Initial current, I1 = 0 A

Final current I2 = 20 A

Change in current, `dl=l_2-l_1=20-0=20A`

Time taken for the change, t = 0.5 s

Induced emf, `e=(dphi)/dt`                       ............(1)

Where `dphi` is the change in the flux linkage with the coil.

Emf is related with mutual inductance as:

`e=mu "dI"/dt`

Equating equations (1) and (2), we get

`(dphi)/(dt)=mu(dl)/dt`

`dphi=1.5xx(20)`

`=30 Wb`

Hence, the change in the flux linkage is 30 Wb.

Concept: Inductance - Mutual Inductance
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APPEARS IN

NCERT Class 12 Physics Textbook
Chapter 6 Electromagnetic Induction
Q 9 | Page 230
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