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 8.00 cm. the wire has a uniform resistance per unit length of 4.00 ft/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 1.50 T/s. Find the magnitude of the induced current in the wire. A 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

for the resistance of the wire is

R = 4 * (2pi * 0.08 + 2pi * 0.03)

R = 2.76 Ohm

for the current

I = emf induced/R

I = 1.50 * pi * (0.08^2 - 0.03^2)/2.76

I = 0.00939 A

the current is 0.00939 A

b) the direction of current is

counterclockwise in lower loop

clockwise in upper loop

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