An infinitely leig single wire with current I_t = 9.5 A and a leeangle wire loop
ID: 1433383 • Letter: A
Question
An infinitely leig single wire with current I_t = 9.5 A and a leeangle wire loop with current I_2 = 0.35 A are in the same plane as shown. The dimensions of the loop are a = 0.019 m and b = 0.086 m. The infinite wire is parallel to side AD of the loop and at a dietance d = 0.28 m from it. Randomized Variables I_1 = 9.5 A I_2 = 0.35 A a = 0.049m b = 0.086 m d = 0.28 m 13% Part (a) Express the magnitude of the magnetic force F_ad, from It on wire AD in terms of I1, I_2, and the loop dimensions. 13% Part (b) Calculate the numerical value of F_ad in N. 13% Part (c) Express the magnitude of the magnetic force F_be, from I1 on wire BC in terms of I1, I2, a, b, and d. 13% Part (d) Calculate the numerical value of F_be in N.Explanation / Answer
Magnetic foce in general is given by F = IyB where y is the length of the arm
(a) Fad = I1 (b) B = I1 (b) (oI2/2d) = (oI1I2b) / (2d)
Fad = (oI1I2b) / (2d) (attraction, acting towards left direction)
(b) Fad = (4 x 10-7 x 9.5 x 0.35 x 0.086) / (2 x 0.28)
Fad = 2.043 x 10-7 N
(c) Fbc = I1 (b) B = I1 (b) (oI2/2(d+a)) = (oI1I2b) / (2(d+a))
Fbc = (oI1I2b) / (2(d+a)) (repulsion, acting towards right direction)
(b) Fbc = (4 x 10-7 x 9.5 x 0.35 x 0.086) / (2 x (0.28+0.049))
Fbc = 1.738 x 10-7 N