A 50-turn coil has a resistance 2.5 Ω. If it is enclosed in an area of 25 cm2, what would be the rate of change of a magnetic field parallel to its axis to induce a current of 0.5 A in the coil?
F=BA
where
F=rate of change of magnetic field
B= magnetic density
A= Area
The induced voltage per turn will be the time derivative of that value, so your total induced voltage will is
From the formula V=IR we find that V=2.5×0.5=1.25v
Therefore:
So rate of change of magnetic field= 10tesla/sec
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