An infinitely long single wire with current I1 = 1.5 A and a rectangular wire loop with current I2 = 0.15 A are in the same plane as shown. The dimensions of the loop are a = 0.087 m and b = 0.126 m. The infinite wire is parallel to side AD of the loop and at a distance d = 0.19 m from it. A)  Express the magnitude of the magnetic force Fad, from I1 on wire AD in terms of I1, I2, d and the loop dimensions. B) Calculate the numerical value of Fad in N.  C) Express the magnitude of the magnetic force Fbc, from I1 on wire BC in terms of I1, I2, a, b, and d. D) Calculate the numerical value of Fbc in N. E)  Is the force of Fad repulsive or attractive? F)  Is the force of Fbc repulsive or attractive? 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? H) Calculate the numerical value of the sum of the forces F = Fad - Fbc on the infinite wire in N.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
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An infinitely long single wire with current I1 = 1.5 A and a rectangular wire loop with current I2 = 0.15 A are in the same plane as shown. The dimensions of the loop are a = 0.087 m and b = 0.126 m. The infinite wire is parallel to side AD of the loop and at a distance d = 0.19 m from it. A)  Express the magnitude of the magnetic force Fad, from I1 on wire AD in terms of I1I2d and the loop dimensions. B) Calculate the numerical value of Fad in N.  C) Express the magnitude of the magnetic force Fbc, from I1 on wire BC in terms of I1I2ab, and d. D) Calculate the numerical value of Fbc in N. E)  Is the force of Fad repulsive or attractive? F)  Is the force of Fbc repulsive or attractive? 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? H) Calculate the numerical value of the sum of the forces F = Fad - Fbc on the infinite wire in N. 

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