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Question

Question: The mutual inductance between a primary and secondary circuits is 0.5 H. The resistances of the prim...

The mutual inductance between a primary and secondary circuits is 0.5 H. The resistances 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

e2=Mdi1dti2R2=Mdi1dt0.4×5=0.5×di1dte _ { 2 } = M \frac { d i _ { 1 } } { d t } \Rightarrow i _ { 2 } R _ { 2 } = M \frac { d i _ { 1 } } { d t } \Rightarrow 0.4 \times 5 = 0.5 \times \frac { d i _ { 1 } } { d t }