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7) During a 68-ms interval, a change in the current in a primary coil occurs. Th

ID: 1268045 • Letter: 7

Question

7)

During a 68-ms interval, a change in the current in a primary coil occurs. This change leads to the appearance of a 6.9-mA current in a nearby secondary coil. The secondary coil is part of a circuit in which the resistance is 12 ?. The mutual inductance between the two coils is 3.2 mH. What is the change in the primary current?

?Ip = ______________ (A - T -Wb - V)

10)

A series RCL circuit includes a resistance of 291 ?, an inductive reactance of 685 ?, and a capacitive reactance of 409 ?. The current in the circuit is 0.211 A. What is the voltage of the generator?

_______V

Explanation / Answer

1)

The induced emf in the secondary coil is given by

Vs = MdI/dt

Vs = Is*R = 0.0069*12 = 0.0828 V

where dI is the change in the current in the primary coil

dI = Vs dt/M

= 0.0828*68/3.2

= 1.76 A - T -Wb - V

2)

impedence = 291 +j(685 - 409)

|impedence| = 401.07

voltage = current*resistence = 0.211*401.07 = 84.63 V

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