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Two coils have mutual inductance M = 3.25×10−4H. The current i1 in the first coil increases at a uniform rate of 830 A/s. a) What is the magnitude of the induced emf in the second coil? Is it constant? b) Suppose that the current described is in the second coil rather than the first. What is the magnitude of the induced emf in the first coil?

Respuesta :

cjmejiab

The values that we have are:

[tex]M=3.25*10^{-4}H\\\frac{di_1}{dt}=830A/s[/tex]

a-)Where M is the mutual inductance and \frac{di_1}{dt} the rate of change of current.

We know that emf (\epsilon}) in the second coil is given by

[tex]\epsilon_2 = M\frac{di}{dt}\\\epsilon_2 = (3.25*10^{-4})(830H)\\\epsilon_2 = 0.27V[/tex]

b-)The mutual inductance allow that the current between the two coils do not change, so,

[tex]\epsilon_1=0.27\\[/tex]

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