A piece of insulated wire is shaped into a figure eight as shown in the figure b

Question

A piece of insulated wire is shaped into a figure eight as shown in the figure below. For simplicity, model the two halves of the figure eight as circles. The radius of the upper circle is 3.00 cm and that of the lower circle is 7.00 cm. The wire has a uniform resistance per unit length of 2.00 Ohm/m. A uniform magnetic field is applied perpendicular to the plane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 2.10 T/s. Find the magnitude of the induced current in the wire. Find the direction of the induced current in the wire (Select all that apply.) clockwise in the upper loop clockwise in the lower loop counterclockwise In the upper loop counterclockwise in the lower loop

Explanation / Answer

The induced current in the lower loop is counter clockwise as the applied magnetic field is into the plane and is increasing.

Now the current produced by the upper loop is also counter clockwise but the value of current is less than the value of current in the lower loop

(owing to the smaller area of the upper loop).

Now these two currents are in opposite direction inside the wire., only the larger value of current(current in lower loop) will dominate.

Thus current in lower loop is counter clockwise and in the upper wire it is clockwise.

So

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