A D-shaped frame is made out of plastic of small square cross section and tightl

Question

A D-shaped frame is made out of plastic of small square cross section and tightly wrapped uniformly with N turns of wire as shown in the figure below, so that the magnetic field has essentially the same magnitude throughout the plastic. (R is much bigger than w.)

With a current I flowing, what is the magnetic field inside the plastic? (Use any variable or symbol stated above along with the following as necessary: 0.)

Show the direction of the magnetic field in the plastic at several locations.

magnitude     B = direction     ---Select--- downward in the vertical segment, clockwise in the arch downward in the vertical segment, counterclockwise in the arch upward in the vertical segment, counterclockwise in the arch upward in the vertical segment, clockwise in the arch

Explanation / Answer

no of turns per unit length, n = total no of turns/total length

= N/(pi*R + 2*R)

so, B = mue*n*I

= mue*N*I/(pi*R + 2*R)

direction : clockwise (lower left diagram)

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