Work done by a moving conductor in a magnetic field

AI Thread Summary
A conductor of length 100mm carrying a current of 10A experiences a force of 0.1N when placed in a magnetic field with a flux density of 0.1T, calculated using the formula F=BIL. The confusion arises in calculating the work done when the conductor is displaced 100mm at right angles to its length. The initial calculation suggests that W=0.01J, but the problem states that 0.1J of work is done. The consensus is that the discrepancy is due to a misprint in the question, confirming that the correct work done is indeed 0.1J.
chris19802
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Homework Statement



Show that there is a force of 0.1N on a conductor of length 100mm carrying a current of 10A at right angles to a flux density of 0.1T.

Show that 0.1J of work is done if the conductor is displaced by 100mm at right angles to its length.

Homework Equations



F=BIL
W=Fd

The Attempt at a Solution



I think this should be very straightforward, but the second bit confuses me. For the first bit I simply have:

F=BIL
F=0.1 x 0.1 x 10 = 0.1N

That's easy, but then for the second part concerning work I would imagine that:

W=Fd
W=0.1N x 0.1m = 0.01J

However the question says that the answer should be 0.1J of work. Is this a misprint or am I missing something really fundamental?

Thanks in advance.
 
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Yes, it's a misprint.
 
Thanks! Good to know.
 
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