where N is the number of turns of wire in the coil, B the magnitude of the magne
ID: 1403512 • Letter: W
Question
where N is the number of turns of wire in the coil, B the magnitude of the magnetic field, I the current flowing in the coil, A the area enclosed by the coil, and ? the angle between the line perpendicular to the plane of the coil and the direction of the magnetic field. The expression given above was derived for a rectangular coil but it is valid for any planar coil. The area enclosed by the coil can be square, rectangular, circular, ellipsoidal (as in this problem), or any other two-dimensional shape.
Thus, the angle between the magnetic field and the line perpendicular to the plane of the coil is ? = 90.0°. With a semimajor axis of a = (0.400 m)/2 and a semiminor axis of b = (0.300 m)/2, the area enclosed by the coil is
A = ?ab = _____ ?
and the magnitude of the torque exerted on the coil is
NBIAsin ?
______ ? 10?4 N · m.
? =NBIAsin ?
______ ? 10?4 N · m.
Explanation / Answer
A = pi*(0.400)*(0.300)
A = 0.377 m^2
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