Problem 7 (40 points) Two conducting bars sit on a pair of frictionless conducting rails so as to form a rectangle in th

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Problem 7 40 Points Two Conducting Bars Sit On A Pair Of Frictionless Conducting Rails So As To Form A Rectangle In Th 1 (93.65 KiB) Viewed 54 times

Problem 7 (40 points) Two conducting bars sit on a pair of frictionless conducting rails so as to form a rectangle in the x-y plane as shown below. Each bar has electrical resistance R, and the electrical resistance of the rails is negligible. The system is in a constant magnetic field B = Ba2 that points in the +z direction. Student 1 is pushing Bar 1 to the right with velocity v = vol, and Student 2 is pushing Bar 2 to the right with velocity v2 = 2vol. At time t = 0, Bar 1 is at r = 0, and Bar 2 is at r= d. B Bar 1 Bar 2 i V2 x = Vot x2 = d+2vot X Parts (a) and (b) may be answered qualitatively, without doing detailed calculations. How- ever, briefly justify your answer. (a) Is the magnitude of the magnetic flux (t) through the rectangular loop defined by the bars and rails increasing or decreasing with time? (b) What is the direction of the circulation of the induced current I(t) that flows through the bars and rails? (Show this with a sketch.) (c) What is the magnetic flux o(t) through the loop formed by the bars and rails for times t> 0? (d) What is the EMF & induced in the loop, and what is the magnitude of the current I(t)? (e) What is the magnitude and direction of the Lorentz force FL, on Bar 1? (f) If Student 1 lets go of Bar 1 at some time ti > 0, what happens to that bar? Does it accelerate, decelerate, or keep moving at the constant velocity vi?