A metal crossbar of mass m slides without friction on two long parallel conducting rails a distance b apart. A resistor R is connected across the rails at one end; compared with R, the resistance of the bar and rails is negligible. There is a uniform field B perpendicular to the plane of the figure. At time t = 0 the crossbar is given a velocity of magnitude v0 toward the right. What happens next? Does the rod ever stop moving? If so when? How far does it go? What about conservation of energy?

A metal crossbar of mass m slides without friction on two long parallel conducting rails a distance b apart. A resistor R is connected across the rails at one end; compared with R, the resistance of the bar and rails is negligible. There is a uniform field B perpendicular to the plane of the figure. At time t = 0 the crossbar is given a velocity of magnitude v0 toward the right. What happens next? Does the rod ever stop moving? If so when? How far does it go? What about conservation of energy?

Similar questions

A physics lab instructor is working on a new demonstration. She attaches two identical conducting balls with mass m = 0.190 g to threads of length L as shown in the figure. There are two strings in the figure. The top of each string is connected to the ceiling, and both strings are connected at the same point. The bottom of each string is connected to a spherical mass labeled m. Both strings have length Land hang at an angle of θto the vertical, with the two strings on opposite sides of the vertical. Both balls have the same charge of 7.60 nC, and are in static equilibrium when θ = 4.55°. What is L (in m)? Assume the threads are massless. Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the balls. Find an equation for the distance between the two balls in terms of L and θ, and use this expression in your Coulomb force equation. m (b) What If? The charge on both balls is increased until each thread makes an angle of θ = 9.10° with the…
A long straight wire carries a 1.5 A current. An electron moves parallel to the wire at speed 1.3 x 104 m/s. The distance between the electron and the wire is 7 cm. Calculate the magnitude of the magnetic force on the electron.(Give your answer in newtons but don't round your answer)
Ex. 8 : An electron performs uniform circular motion in a uniform magnetic field of induction 2.5 T in a plane perpendicular to the field . Its kinetic energy is 10 x 10-20 J and its motion is subject only to the magnetic force due to the field. What is the magnetic dipole moment associated with the motion of the electron? Jio
A positively charged particle slides off a frictionless and smooth surface with initial X X X X X X X X speed v, =v, . It then enters into a region with X X X X X x x x X uniform magnetic field pointing into the page. X X X X x x x x X x x x x x X x x x The particle eventually hits the ground with final speed v, air time and range S · The particle slides off the edge again with identical initial speed, but this time without the magnetic field. The particle then hits the ground with final speed v,, air time t, , and range s,. Determine the relationships between v, and v,, t, and t, , as well as s, and s, (3 marks). Please note that no calculation is needed. You were to provide the relationship in the sense that whether one variable is greater than, smaller than, or equals to the other one (>, <, or =). Provide a rough explanation (3 marks).
After being accelerated to a speed of 1.92×105 m/s , the particle enters a uniform magnetic field of strength 0.800 T and travels in a circle of radius 34.0 cm (determined by observing where it hits the screen as shown in the figure). The results of this experiment allow one to find m/q. Find the ratio m/q for this particle. Express your answer numerically in kilograms per coulomb.
A charged particle moves in a region of uniform magnetic field along a helical path (radius= 5.0 cm, pitch = 12 cm, period = 27.6 ms). What is the speed of this particle? V p Pitch -2r- -B
....
Two particles enter a region in space where there is a constant magnetic field B. Particle 1 has a mass of 2m, speed 3v, and unknown charge of q1. Particle 2 has a mass of m, speed v, and a charge with magnitude q2 = +2e. See figure. While in the field, the radius of motion for particle 1 is 3R and the radius of motion for particle 2 is R. See figure. Find B and q1. The knowns are m, v, R, and e. radius = 3R 3v ● B =? radius= R
AY R R/2|; d A single current-carrying circular loop of radius R = 8.8 cm is placed next to a long straight wire as shown in Figure. A current i1 = 7.2 A is passing through the wire towards right. At a certain moment an electron is moving at a velocity v = 700.0 jm/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d — 2.1ст. The z axis points out of the page in the coordinate system shown in the figure which is represented by the circle with a dot inside. a) Compute the magnitude of the magnetic field at the centre c due to the current passing through the straight wire.
A current loop in a motor has an area of 0.85 cm?. It carries 240 mA current in a uniform field of 0.62 T. What is the magnitude of the maximum torque on the current loop?
A particle with charge q = 1.2 C and a long wire carrying current I = 6 A is on the xy-plane at the moment the charge is at point P at distance d = 0.4 cm from the wire and has velocity v = 1.8 m/s in the I d x-direction. What is the magnitude of the magnetic force acting on the charge in units of nanonewtons? (u = 47 x 10-7T · m/A) Answer:
Consider a long, horizontal Large Wire with current of 10 A running through it. We want to levitate a horizontal, thin, 0.50 m length of wire above it. If the thin wire has a mass of 10 grams, and a current of 300 mA, how far above the Large Wire will it hover (net force of zero) due to magnetic and gravitational forces? A. If the thin wire hovers above the Large Wire due to their magnetic fields, are their currents going the same direction, or opposite directions. Explain. B. Draw a diagram and label the directions of currents, and all other relevant quantities and vectors. C. Find the distance above the Large Wire the small thin wire will hover (net force of zero). D. Would your answers to parts A and C change if we wanted to find a distance below (rather than above) the Large Wire that the smaller thin wire could hover, due to their magnetic fields. Explain. Don't calculate any values but draw a new diagram and explain how this situation compares to the problem above.