A loop of wire of width w and height h contains a switch and a battery and is co

Question

A loop of wire of width w and height h contains a switch and a battery and is connected to a spring of force constant k, as shown to the left. The loop carries a current I in the clockwise direction, and its bottom is in a constant, uniform magnetic field directed into the plane of the page.
a. On the diagram of the loop , indicate the direction of the magnetic force, if any, that act on each side of the loop.
b. The switch S is opened, and the loop eventually comes to rest at a new equilibrium position that is a distance x from its former position. Derive an expression for the magnitude B0 of the uniform magnetic field in terms of the given quantities and fundamental constants.
The spring and loop are replaced with a loop of the same dimensions and resistance R but without the battery and switch. The new loop is pulled upward, out of the magnetic field, at constant speed v0, as shown below. Express algebraic answers to the following questions in terms of some or all of the quantities B0, V0, R, w, and h.
c. On the diagram, indicate the direction of the induced current in the
loop as the loop moves upward.
d. Derive an expression for the magnitude of this current.
e. Derive an expression for the power dissipated in the loop as the loop is pulled
at constant speed out of the field.

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