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Electric Charges And Fields

Question
CBSEENPH12039295

i) Define mutual Inductance. 

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

Solution

i) Mutual Induction: It is the phenomenon in which a change of current in one coil induces an emf in another coil places near it. The coil in which the current changes is called the primary coil and the coil in which the emf is induced is called the secondary coil. 
ii) 
EMF induced is, e = - M . dI over dt
straight e space equals space minus 1.5 space straight x space fraction numerator 20 space minus space 0 over denominator 0.5 end fraction
straight e space equals space minus 60 space straight V
So, the flux linked with the other coil is given by, 

increment straight ϕ space equals space straight e space straight x space increment straight t space equals space minus 60 space straight x space 0.5 space equals space minus space 30 space Wb