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adrian116

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the question is that:

A rectangular loop with width L and a slide wire with mass m are as shown in Fig. A uniform magnetic field [itex]\vec B[/itex] is directed perpendicular to the plane of the loop into the plane of the figure. The slide wire is given an initial speed of [itex]v_0[/itex] and then released. There is no friction between the slide wire and the loop, and the resistance of the loop is negligiblein 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 v. b). Show that the distance x that the wire moves before coming to rest is [itex] \frac{m v_0 R}{a^2 B^2}[/itex]

i have done part a ,

the ans. is [itex] \frac{B^2 L^2 v}{R}[/itex]

but for part b ,

i can just calculate half of the value of x mentioned in the question.

i did it in this way

subt. F from a to [itex]F=ma[/itex] to find the acceleration

then subt. the ans. to

[itex]v^2=u^2+2as[/itex] by taking v=0 and u=v.

is there any mistake?

A rectangular loop with width L and a slide wire with mass m are as shown in Fig. A uniform magnetic field [itex]\vec B[/itex] is directed perpendicular to the plane of the loop into the plane of the figure. The slide wire is given an initial speed of [itex]v_0[/itex] and then released. There is no friction between the slide wire and the loop, and the resistance of the loop is negligiblein 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 v. b). Show that the distance x that the wire moves before coming to rest is [itex] \frac{m v_0 R}{a^2 B^2}[/itex]

i have done part a ,

the ans. is [itex] \frac{B^2 L^2 v}{R}[/itex]

but for part b ,

i can just calculate half of the value of x mentioned in the question.

i did it in this way

subt. F from a to [itex]F=ma[/itex] to find the acceleration

then subt. the ans. to

[itex]v^2=u^2+2as[/itex] by taking v=0 and u=v.

is there any mistake?

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