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A long wire carries a current in the direction shown above. The current I varies linearly with time t as follows: I-ct, where c is a positive constant. The long wire is in the same plane as a...

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 A long wire carries a current in the direction shown above. The current I varies linearly with time t as follows: I=ct, where c is a positive constant. The long wire is in the same plane as a square loop of wire of

 side b, as shown in the diagram. The side of the loop nearest the long wire is parallel to it and a distance a from it. The loop has a resistance R and is fixed in space.

 a. Determine the magnetic field B at a distance r from the long wire as a function of time.

 b. Indicate on the diagram the direction of the induced current in the loop.

 c. Determine the induced current in the loop.

 d. State whether the magnetic force on the loop is toward or away from the wire.

 e. Determine the magnitude of the magnetic force on the loop as a function of time.


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