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a) In the figure below, what is the direction of the flux experienced by the loop of coil?
b) If the current I is increasing, what is the direction of the induced current in the loop of wire? Explain.
c) If the loop of wire were free to rotate, would it? Explain.
d) If the loop of wire were free to move up or down, would it? Explain, and state which direction if yes.
e) (Bonus - not worth very many points) What is the mutual inductance of this system? (indicate what lengths you use)
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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