Two identical parallel sections of metal rods are connected parallel to a batter

Question

Two identical parallel sections of metal rods are connected parallel to a battery as shown. The two sections of metal rods are free to move. When the switch is closed, the two parallel metal rods both will move toward the left. will change in a way not determined by the information given. will move toward each other. will heat up, and remain motionless. both will move toward the right. will move away from each other. The magnetic field at the right-most rod, due to the current in the rod immediately to its left, is into the plane of the paper. in the plane of the paper pointing right. in the plane of the paper pointing left. not determined from information given. out of the plane of the paper. The battery is 2.9 V, each metal rod has a resistance R = 1.18 Ohm, a length of 4.2 m, and a mass of 0.0029 kg. The rods are separated by 0.19 m. Find the magnitude of the acceleration of each rod. Neglect the resistance of the part of the circuit not specifically mentioned below. Answer in units of m/s2.

Explanation / Answer

will move toward each other. out of the plane of the paper. = 2.9 V, R = 1.18 , L = 4.2 m, m = 0.0029 kg, d = 0.19m, find a current through the battery = /R current through each rod = I = (1/2)*(/R) = /(2R) magnetic field on the right rod due to the left one = B =0I/(2d) magnetic force on the right rod due to the left one = F = IBL =0I2L/(2d) a = F/m = 0I2L/(2dm) =02L/(8R2dm) =2.30*10-3 m/s2

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