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Dear Sandeep,
a) The equation for the current as a function of time is given by I = I0 (1 - 2t) The magnetic field at the center of a current loop is given by At t = 0, the current is 200 A, so the magnetic field is given by At t = .5, the current is 0 A, so the magnetic field is zero. At t = 1, the current is -200 A, so the magnetic field is given by
b) The magnetic flux through the loop is given by Here, we take . So, the flux is given by The area of the loop is given by So, the change in magnetic flux over time is given by Since A, R, and are constants in time, this becomes Well, the change in magnetic flux over time is known as the EMF, so we write it as such. Plugging in the numbers, we find that
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