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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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.
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