A wire loop with increasing counterclockwise current is moving with constant hor

Question

A wire loop with increasing counterclockwise current is moving with constant horizontal speed v_0 into a region of uniform magnetic field B_0. At some instant in time, the electrons have a net velocity down and to the right, as shown below. In what direction is the magnetic force on the negative electron, given its net velocity? If the electron is confined to move with the wire but has increasing current, in what direction should the electron accelerate? Explain your reasoning. What other force(s) act on the electron? Explain. Draw a free-body diagram of the electron A very short time later, the electron moves along the direction of its velocity. Which force(s) do work on the electron? Explain. (Optional) Show that the work done on the electron simplifies to ev_0B_ody.

Explanation / Answer

(a)As B is into the plane(-z) ,v is toward (+x and -y) ,then by Lorentz equation F will be in (+y and +x ) so net force will have a compoent in +x(to the right) and +y direction(upward) and net will be in +x+y plane

(b)If current is increasing ,electron speed should increase in the direction of opposite of current .so in vertical direction it should acclerate.

(c) It (rod) will have potential differnce(induced) also so force due to that will also act as induce emf cause electric field so force due to electrci field

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