One volt induced emf is produced in the secondary coil when the current through the primary coil is changed from 3 ~A to 1 ~A in 100 milliseconds. the mutual inductance of the two coil is:

Step-by-step solution

The induced emf in the secondary coil is given by the formula = -M dI dt , where M is the mutual inductance and dI dt is the rate of change of current in the primary coil. Given values are: = 1 V Change in current I = 1 A - 3 A = -2 A Time interval t = 100 ms = 0.1 s The magnitude of the induced emf is | | = M | I t | . Substituting the values: 1 = M | -2 0.1 | 1 = M 20 M = 1 20 H M = 0.05 H Answer: 0.05 H