(9%) Problem 10: An infinitely long single wire with current II 3.5 A and a rect
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(9%) Problem 10: An infinitely long single wire with current II 3.5 A and a rectangle wire loop with current I 0.55 A are in the same plane as shown. The dimensions of the loop are a J 0.069 m and b 0.144 m. The infinite wire is parallel to side AD of the loop and at a distance d 0.24 m from it. Otheexpertta.com 13% Part (a) Express the magnitude of the magnetic force F from II on wire AD in terms of li,12, d and the loop dimensions. 13% Part (b) Calculate the numerical value of Fad in N A 13% Part (c) Express the magnitude of the magnetic force F from II on wire BC in terms of In, I2, a, b, and d. bce Grade Summary bc Deductions Potential 100% 7 8 9 Submissions HOME Attempts remaining: 7 4 5 6 (4% per attempt) detailed view 1 2 3 vo BACKSPACE Submit Hint I give up! Hints 4% deduction per hint. Hints remaining 2 Feedback 5% deduction per feedback. Submission History Answer Hints Feedback Totals Totals A 13% Part (d) Calculate the numerical value of F in N A 13% Part (e) Is the force of Fad repulsive or attractive? A 13% Part (f Is the force of Fbc repulsive or attractive? A 13% Part (g The forces of Fad and Fbc both act on the infinite wire I1. Do they sum to produce a net attractive or repulsive force?Explanation / Answer
I1 = 3.5 A, I2 =0.55 A, a = 0.069 m , b = 0.144 m , d =0.24 m
(a) Fad = uo*I1*I2*b/(2pi*d)
(b) Fad = 2*10^-7*3.5*0.55*0.144/0.24
Fad = 2.31*10^-7 N
(c) Fbc = uo*I1*I2*b/(2pi*(a+d)
(d) Fbc = 2*10^-7*3.5*0.55*0.144/(0.24+0.069)
Fbc = 1.794*10^-7 N
(e) Fad is attractive force
(f) Fbc is repulsive force
(g) Yes, it is a vector sum
(h) F = Fad - Fbc = (2.31-1.794)*10^-7
F = 5.16*10^-8 N
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