The discussion revolves around the dynamics of two movable wires in a magnetic field, specifically analyzing the induced electromotive force (EMF) and the resulting current in the circuit. The induced EMF in the right wire is calculated using the formula EMF = Bvl, leading to an initial current of i = Bvl/(2R). As the left wire accelerates and the right wire decelerates, the forces acting on them are discussed, emphasizing that momentum conservation applies due to the absence of net horizontal force on the system. Ultimately, both wires reach a final speed of v/2 after a long time, demonstrating the interplay of induced EMF and motion in a magnetic field.
PREREQUISITESPhysics students, electrical engineers, and anyone interested in understanding the principles of electromagnetism and the behavior of circuits in magnetic fields.
TSny said:I suspect that you are meant to neglect the force of one wire on the other wire compared to the force that each wire experiences from the external B field.
Yes, I think that's right. The momentum would still be conserved and the final velocities of the sliders would still be equal. Nice!Vibhor said:Hi ,
Don't you think even if we do not neglect the force of one wire on the other wire , it would not affect the final speed of the sliders ? The two forces would cancel each other as far as momentum conservation is concerned .