The long, thin wire shown in the figure is in a region of constant magnetic fiel
ID: 1694408 • Letter: T
Question
The long, thin wire shown in the figure is in a region of constant magnetic field . The wire carries a current of 6.2 A and is oriented at an angle of 7.5 degrees to the direction of the magnetic field.http://session.masteringphysics.com/problemAsset/1122622/1/Walker.22.28.jpg
A.) If the magnetic force exerted on this wire per meter is 3.4×10-2 N, what is the magnitude of the magnetic field? I got 58 mT and then 51 mT. Both were wrong.
B.) At what angle will the force exerted on the wire per meter be equal to 1.4×10-2 N?
Explanation / Answer
current through the wire I = 6.2 A angle ? = 7.5 ^ o magnetic force on the wire due to magnetic field F = I B L sin ? F / L = I B sin 7.5 3.4*10^ -2 = 6.2 * B sin 7.5 magnitude of magnetic field B = 4*10^ -2 T b) 1.4 *10^ -2 = ( 6.2 ) ( 4*10^ -2 ) sin ? sin ? = 0.056 ? = 3.23 degreesRelated Questions
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