Chapter 29, Problem 29.61P

CP CALC A rectangular loop with width L and a slide wire with mass m are as shown in Fig. P29.61. A uniform magnetic field $\stackrel{\to }{B}$ is directed perpendicular to the plane of the loop into the plane of the figure. The slide wire is given an initial speed of ʋ₀ and then released. There is no friction between the slide wire and the loop, and the resistance of the loop is negligible in comparison to the resistance R of the slide wire. (a) Obtain an expression for F, the magnitude of the force exerted on the wire while it is moving at speed ʋ. (b) Show that the distance x that the wire moves before coming to rest is x = mv₀R/L²B².

Figure P29.61