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Question

Question: The mutual inductance between a primary and secondary circuit is 0.5 H. The resistance of the primar...

The mutual inductance between a primary and secondary circuit is 0.5 H. The resistance of the primary and the secondary circuits are 20 ohms and 5 ohms respectively. To generate a current of 0.4 A in the secondary, current in the primary must be changed at the rate of

A

4.0 A/s

B

16.0 A/s

C

1.6 A/s

D

8.0 A/s

Answer

4.0 A/s

Explanation

Solution

By using e2=Mdi1dt\left| e _ { 2 } \right| = M \frac { d i _ { 1 } } { d t } i2=e2R2=MR2di1dti _ { 2 } = \frac { e _ { 2 } } { R _ { 2 } } = \frac { M } { R _ { 2 } } \frac { d i _ { 1 } } { d t }

0.4=0.55×di1dt0.4 = \frac { 0.5 } { 5 } \times \frac { d i _ { 1 } } { d t } ;