P29_072 - 16 j. (b) The force exerted on the left half of...

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72. (a) From symmetry, we conclude that any x -component of force will vanish (evaluated over the entirety of the bent wire as shown). By the right-hand rule, a ±eld in the ˆ k direction produces on each part of the bent wire a y -component of force pointing in the ˆ j direction; each of these components has magnitude | F y | = i` | ~ B | sin 30 =8N . Therefore, the the force (in Newtons) on the wire shown in the ±gure is
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Unformatted text preview: 16 j. (b) The force exerted on the left half of the bent wire points in the k direction, by the right-hand rule, and the force exerted on the right half of the wire points in the + k direction. It is clear that the magnitude of each force is equal, so that the force (evaluated over the entirety of the bent wire as shown) must necessarily vanish....
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