In the figure, a circular coil of wire with 550 turns has a radius of 2.5 cm is

Question

In the figure, a circular coil of wire with 550 turns has a radius of 2.5 cm is placed in a constant uniform external magnetic field directed out of the page with a value of 12 mu T. The area of the coil is decreasing at a rate of 0.0053 m^2/s. The coil has a radius or 0.035 cm. A) Determine the direction of the induced current in the loop. Explain your reasoning. B) What is the magnitude of the induced current in the loop if the loop has a resistance of 0.355 ohm? C) What would be the value of delta B/delta t if the magnetic field changed instead of the area to produce the induced emf in the coil?

Explanation / Answer

A) BY USING RIGHT HAND THUB RULE.

curl of the fingers gives the current direction and thumb give the field direction

here field is out of the page so current is in counter clock wise direction.

emf = E = BdA/dt = 12*10^-6*0.0053 = 6.36*10^-8 V

i = emf/R = 6.36*10^-8/0.355 = 1.79*10^-7 A

emf = 6.36*10^-8 = AdB/dt

dB/dt = 6.36*10^-8/3.14*0.025^2 = 3.24*10^-5 T/s

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