A rectangular loop is placed near a long straight current-carrying wire as shown in the figure.
a. Assume that we define step vectors around the loop to point counterclockwise. Is the magnetic flux ФB through the loop positive or negative?
b. Calculate the magnetic flux in terms of I = |Ivector|, d, L, and W. (Hints: The magnetic field is not constant over the loop's face, so we have to actually integrate to calculate the flux. Divide the loop into thin strips. You should find that the answer is proportional to ln(d+W) / d.)
c. Let the loop have resistance R. Find an expression for the current flowing in the loop as a function of dI / dt.
d. If the magnitude of the current flowing in the wire is decreasing, what is the direction in which the current flows in the loop?
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