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A long wire on the x-axis carries 25 A of current to the right. A rectangular loop (0.70 m wide and 0.80 m height) of 36 gauge copper wire in the x-y plane begins with its center at a location of 0.45 meters directly above the wire. The loop moves in the positive y direction at a constant speed of 0.20 m/s for 5.0 seconds.Calculate and graph the magnetic flux through the loop as a function of vertical position of the center of the loop. The area vector should be assumed to be on a positive axis.Calculate and graph the magnetic flux through the loop as a function of time.Calculate and graph the induced emf in the loop as a function of time.Calculate and graph the induced current in the loop as a function of time. Use the convention that clockwise currents are negative and counter-clockwise currents are positive.Hint: the magnetic field is not constant over the entire area of the loop. If you treat the magnetic field as fixed over the entire area, you will certainly lose a great deal of credit on this problem.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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