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Problem 4: A conducting rod spans a gap of length L = 0.248 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At², where A = 5.5 m/s*. The resistance in the wire is R = 185 2. X X X В X Randomized Variables R X X' X L = 0.248 m B = 0.75 T A = 5.5 m/s R = 185 2 X Part (a) Express the magnitude of the magnetic flux going through the loop, , in terms of B, x and L. a 9 HOME A B d 4 5 6 h 1 1 2 3 m + END P X vol BACKSPACE CLEAR Submit Hint Feedback I give up! Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0. Part (c) Express the position of the rod, x, in terms of A and t. Assume x 0 at t 0.

Problem 4: A conducting rod spans a gap of length L = 0.248 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At², where A = 5.5 m/s*. The resistance in the wire is R = 185 2. X X X В X Randomized Variables R X X' X L = 0.248 m B = 0.75 T A = 5.5 m/s R = 185 2 X Part (a) Express the magnitude of the magnetic flux going through the loop, , in terms of B, x and L. a 9 HOME A B d 4 5 6 h 1 1 2 3 m + END P X vol BACKSPACE CLEAR Submit Hint Feedback I give up! Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0. Part (c) Express the position of the rod, x, in terms of A and t. Assume x 0 at t 0.

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Problem 4: A conducting rod spans a gap of length L = 0.248 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At?, where A = 5.5 m/s*. The resistance in the wire is R = 185 Q. X X B X Randomized Variables R L L = 0.248 m X X X B = 0.75 T X X X A = 5.5 m/s R= 185 Q X Part (a) Express the magnitude of the magnetic flux going through the loop, , in terms of B, x and L. 7 8 HOME A В d 5 6 h * 1 2 3 1 m - END vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0. Part (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t = 0. Part (d) Express the derivative of the magnetic flux, do/ Part (e) Express the magnitude of the emf induced in the loop, ɛ, in terms of B, L. A and t. Part (f) Express the current induced in the loop, I, in terms of ɛ and R. Part (g) Express the current induced in the loop, I, in terms of B, L, A, t, and R. Part (h) Calculate the numerical value of I at t= 2s in A. in terms of B, A, L and t. www
Transcribed Image Text:Problem 4: A conducting rod spans a gap of length L = 0.248 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At?, where A = 5.5 m/s*. The resistance in the wire is R = 185 Q. X X B X Randomized Variables R L L = 0.248 m X X X B = 0.75 T X X X A = 5.5 m/s R= 185 Q X Part (a) Express the magnitude of the magnetic flux going through the loop, , in terms of B, x and L. 7 8 HOME A В d 5 6 h * 1 2 3 1 m - END vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0. Part (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t = 0. Part (d) Express the derivative of the magnetic flux, do/ Part (e) Express the magnitude of the emf induced in the loop, ɛ, in terms of B, L. A and t. Part (f) Express the current induced in the loop, I, in terms of ɛ and R. Part (g) Express the current induced in the loop, I, in terms of B, L, A, t, and R. Part (h) Calculate the numerical value of I at t= 2s in A. in terms of B, A, L and t. www
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