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Electric Charges And Fields

Question
CBSEENPH12037894

How is mutual inductance of a pair of coils affected when
(i)    separation between the coils is increased,
(ii)    the number of turns of each coil is increased,
(iii)    a thin iron sheet is placed between the two coils, other factors remaining the same. Explain your answer in each case.

Solution

(i) When separation between the coils is increased, magnetic flux linked with secondary coil decreases. Therefore, mutual inductance (M) of pair of coils decreases. 

(ii) When number of turns of each coil is increased, mutual inductance increases, because

                 box enclose straight M space equals space fraction numerator straight mu subscript 0 straight N subscript 1 straight N subscript 2 straight A over denominator straight l end fraction. end enclose 

(iii) As box enclose straight M space proportional to space straight mu subscript straight r apostrophe end subscript end enclose therefore, mutual inductance will increase on placing a thin iron sheet between the two coils.