The figure below shows the same long straight wire with current i to the right and wire loops that we have seen previously. In this problem, we will focus just on loop (a), the larger square loop on the left. At the time depicted in the figure, the upper edge is at some distance y from the long wire, the loop has edge length L, and has resistance R. Note that the flux calculation is essentially the same as presented in example 27.2 in the text.
The figure below shows the same long straight wire with current i to the right and wire loops that we have seen previously. In this problem, we will focus just on loop (a), the larger square loop on the left. At the time depicted in the figure, the upper edge is at some distance y from the long wire, the loop has edge length L, and has resistance R. Note that the flux calculation is essentially the same as presented in example 27.2 in the text.
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The figure below shows the same long straight wire with current i to the right and wire loops that
we have seen previously. In this problem, we will focus just on loop (a), the larger square loop on
the left. At the time depicted in the figure, the upper edge is at some distance y from the long wire,
the loop has edge length L, and has resistance R. Note that the flux calculation is essentially the
same as presented in example 27.2 in the text.
Transcribed Image Text:a
C
(a) Suppose the induced current in the loop is clockwise and is due to the loop moving with some
speed u and the subsequent change in magnetic flux. In which of the following directions could
the loop be moving: toward the wire, away from the wire, to the left, or to the right?
(b) At the time depicted by the diagram, what is the flux through the square loop, as a function of
the parameters listed in the problem statement? (Note that the field is NOT uniform so you do
have to set up an integral similar to the one in the example.)
(c) If the loop is moving with speed v= dy/dt, what is the EMF and current i (again, in terms of
the parameters given) in the loop? Note y is now the variable that is changing in time, and we
have flux in terms of y - don't forget the chain rule in taking derivatives.
(d) What happens to the current as the loop moves - does it increase, decrease, or stay constant?
Provide a physics argument and check that the mathematical result is consistent with that
result.
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