Two coils shown in the diagram are wound around two iron cores. The primary coil has 500 turns, self-inductance 7.0 mH and resistance fo 5.0 ohms. The battery supplies an EMF of 10.0V. The secondary has 100 turns and resistance 1.0 ohms. The mutual inductance of the system is 3.0 mH.
a) What is the time constant?
b) How much current is flowing in the primary after one time constant?
c) How much back EMF is generated in the primary during one time constant?
d) How much EMF is generated in the secondary during one time constant?
e) What is the ratio of your answers from (d) to (c)? How does that compare to the ratio of the number of turns? Should they be the same?
Now the battery is replaced by an AC power supply that has a maximum voltage of 10.0V and frequency of 5 Hz.
f) What is the inductive reactance of the primary coil?
g) If the primary coil has no resistance, determine the maximum current. Sketch one cycle of the voltage and current as might be seen on an oscilloscope
h) If the primary coil has 5.0 ohms, what is the impedance, phase angle, and maximum current? Sketch one cycle of the voltage and current as might be seen on an oscilloscope.
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Two coils shown in the diagram are wound around two iron cores.
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