The current in the primary of a transformer changes with time as

PHYSICS · Multi-part · AP · Physics C: Electricity and Magnetism · Electromagnetic Induction · Electromagnetic Induction

Problem

The current in the primary of a transformer changes with time as Ip=3.0sin⁡(120πt) AI_p = 3.0 \sin(120\pi t)\,\text{A}, where tt is in seconds. The mutual inductance between the coils is 0.25 H0.25\,\text{H}. (i) Obtain the expression for the instantaneous emf induced in the secondary. (ii) Determine the peak value and the rms value of this induced emf. (iii) Evaluate the instantaneous emf at t=5.0 mst = 5.0\,\text{ms} and state whether this value corresponds to a maximum, a minimum or a zero of the emf.

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