14. A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.20 m. The normal to the plane of the loop is parallel to a constant magnetic field () of magnitude 0.75 T. What is the change in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?

So consider this shape to have two parts, the basic rectangle which consists of the 3 sides the bottom of which has the resistor and the top has the half-circle in it. In the starting orientation the total area with magnetic field passing through is the rectangle plus one-half of the circle. The final orientation is the rectangle minus one-half the circle. So the change in area is one circle area. So the change in flux can be found knowing the magnetic field is constant.

- sign due to decrease in area!

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This page last updated on June 24, 2018