A circular coil of radius 0.11 m contains a single turn and is located in a cons

Question

A circular coil of radius 0.11 m contains a single turn and is located in a constant magnetic field of magnitude 0.25 T. The magnetic field has the same direction as the normal to the plane of the coil. The radius increases to 0.38 m in a time of 0.080 s. Why is there an emf induced in the coil?. Does the magnitude of the induced emf depend on whether the area is increasing or decreasing? Explain. What determines the amount of current induced in the coil?
(iv) If the coil is cut so it is no longer one continuous piece, are there an induced emf and an induced current? Explain.

Determine the magnitude of the emf induced in the coil.

Explanation / Answer

Emf is induced because of the change in magnetic flux.
Magnetic flux is product of magnetic field and area .
So amount of emf generated depends upon the area increasing or decreasing..
If the coil is cut and no longer a continuous piece then no flux will generated therefore no emf.
Now EMF
E = Change in magnetic flux /change in time
E = B.A/t = 0.25(0.382 - 0.112)Pi / (0.08) = 1.2988 V

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