Work done by a moving conductor in a magnetic field

[chris19802]

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.

 

[ideasrule]

Yes, it's a misprint.

 

[chris19802]

Thanks! Good to know.