A large region of space contains a uniform magnetic field that is increasing with time. You have

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A large region of space contains a uniform magnetic field that is increasing with time. You have a piece of wire of length \(\ell\) and want to form a coil from it. What shape should you use for your windings and how many windings should you have to generate the maximum induced current in the coil when it is placed in the changing magnetic field?

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