Question

A one-turn current loop, in the shape of an equilateral triangle with sides a, lie in the x-y plane and moves with velocity v in the +x direction. (Assume that some external force that is not shown in the figure keeps the velocity constant.) The loop has a net resistance of R. It passes through a region of constant, spatially uniform magnetic field B that points in the -z direction (into the screen) and extends from r = 0 to x= d. xx x XX D:DDD XIX xix a. Derive an analytic expression for the current induced in the loop as a function of the loop's x position. This expression should be valid from the moment the tip of the triangle enters the magnetic field until the base of the triangle enters the field. b. Find the induced current when the loop is entirely within the magnetic field. c. Sketch the induced current as a function of x over the full range of motion shown on the figure. Consider a current flowing in the counterclockwise (CCW) direction as positive.

only need part B answered please.

Answer 1

(b) induced current= induced emf/resistance

Induced emf= rate of change of magnetic flux through the loop.

If we consider the situation where the loop is completely inside the magnetic field region . In that case neither the magnetic field is changing nor the area is changing . Hence there is no change in flux when the loop is moving inside the field.

Therefore,induced current will be zero