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? (Answer: 30 Wb)



Given:

Mutual Inductance = M = 1.5 H

Initial current  = I₁ = 0 A

Final current  = I₂ = 20 A

So change in current △I = I₂ - I₁ = 20 A - 0 A = 20 A

Change in time interval = △t = 0.5 s



To Find:

Change in the magnetic flux = Δф = ?


Solution:

We can't find ΔфB directly from the given data, so we can deduce a relation, therefore, using the relation of  Faraday's Law

Ɛ = ΔфBΔt -------------(1)

and formula for induced e.m.f in mutual inductance

Ɛ = M ΔIΔt --------------(2)

by comparing the equation (1) and (2) we get

ΔфBΔt = M ΔIΔt 

or 

 ΔфB = M ΔI

by putting values

 ΔфB = 1.5 H  ｘ 20 A

 ΔфB = 30 Wb ------------Ans.

------------------------------
⭐ Weber 'Wb' is the unit of measurement for Magnetic Flux:

1 Wb =  H A = V s = kg m² s⁻² A⁻¹



************************************

Shortcut Links For 


1. Website for School and College Level Physics   
2. Website for School and College Level Mathematics  
3. Website for Single National Curriculum Pakistan - All Subjects Notes 

© 2022-Onwards by Academic Skills and Knowledge (ASK)     

Note:  Write me in the comment box below for any query and also Share this information with your class-fellows and friends.