The long, narrow rectangular loop of wire shown has vertical height H, length D,
ID: 2194401 • Letter: T
Question
The long, narrow rectangular loop of wire shown has vertical height H, length D, and resistance R. The loop is mounted on an insulated stand attached to a glider, which moves on a frictionless horizontal air track with an initial speed of v_o to the right. The loop and glider have a combined mass m. The loop enters a long region of uniform magnetic field B, directed out of the page toward the reader. After some time, the loop emerges from the field, still traveling to the right. Express algebraic answers in terms of some or all of the quantities B, D, H, R, m, v_o, and fundamental constants. a. What is the magnitude of the initial induced emf in the loop as the front end of the loop begins to enter the region containing the field? b. What is the magnitude of the initial induced current in the loop? c. Does the initial induced current flow clockwise or counterclockwise around the loop? Explain your reasoning. d. Derive an expression for the velocity of the glider as a function of time t for the interval after the front edge of the loop has entered the magnetic field but before the rear edge has entered the field. e. Sketch qualitatively a graph of speed v versus time t for the glider. The front end of the loop enters the field at t = 0. At t1 the back end has entered and the loop is completely inside the field. At t2 the loop begins to come out of the field. At t3 it is completely out of the field. Continue the graph until t4, a short time after the loop is completely out of the field. (Your graph need not be quantitatively accurate. The general shape for each time interval is sufficient.)
Explanation / Answer
Dude, do you know why no one has answered your question yet? It's a very long and complex question and you have awarded less points for it. Take my advice and post this in the Advanced Physics section. I am pretty sure they will answer in a jiff.
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