A circular loop 10 cm in radius with a resistance of 0.4 Ohm is in a magnetic fi

Question

A circular loop 10 cm in radius with a resistance of 0.4 Ohm is in a magnetic field of 0.6 T whose direction is perpendicular to the plane of the loop. The loop is grasped at opposite ends of a diameter and pulled out into a rectangle 30 cm long and 1.4 cm wide in a time of 0.2 seconds (the loop is transformed into the rectangle). Find the magnetic flux through the circular loop; Find the magnetic flux through the rectangular loop; Find the average EMF (absolute value) in the wire while it is being deformed Find the average current in the wire while it is being deformed.

Explanation / Answer

a)

Flux through the circular loop is given by,

c = B.A = (0.6 T)(3.14X(0.1 m)2)

or, c = 1.884X10-2T-m2

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b)

Flux through the rectangular loop is given by,

r = B.A = (0.6 T)(0.3 mX0.014 m)

or, r = 2.52X10-3Tm2

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c)

emf induced is,

E = -(r - c)/t = -[0.252X10-2T-m2 - 1.884X10-2T-m2]/(0.2 s)

or, E = 8.16X10-2 V

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d)

Current in the wire is,

I = E/R = (8.16X10-2 V)/(0.4)

or, I = 0.204 A

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This concludes the answers. Check the answer and let me know if it's correct. If you need any more clarification or correction, feel free to ask.....

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