Question

Iwire The magnetic field for a long wire is В — B = 2π r = distance from wire, I = current d through wire, Ho = 4 n x 10~-7 Tm Iloop A Current-carrying wire in magnetic field B the magnetic force on the wire is I = current, L = vector, magnitude is length of the wire, direction of the curent The magnetic forces between wires is one way to measure currents without having to place an ammeter into a circuit. Consider the set-up shown above. A long-straight wire carrying a current Iwire is near a loop carrying a current hoop- The loop is rectangular with length L and width W. The top of the loop is a distance d away from the long straight wire. The wire and loop are horizontal; gravity can be ignored A) (PS) What is (are) the direction(s) of the magnetic field created by the long-straight wire at all points on the loop? Explain how you got your answer. "The right-hand rule", though correct, is not a sufficient explanation. State how you did the RHR B) (GR) Draw a Free Body Diagram for the loop showing the directions of the magnetic forces on the four sides of the loop due to the top wire (QA) What is the direction of the total force on the loop? What is the total force on the two sides of the Loop? Explain your answers C) (PS) What physical properties determine the strength and direction of the forces on the oop due to the long-straight wire? Explain how you could determine the current in the long wire if you measure the total force on the loop D) (AR) Write down equations for the magnetic force on the top and bottom wires of the loop due to the magnetic field of the long-straight wire using the variables in the figure above. Write down an equation for the total magnetic force on the loop due to the magnetic field of the long-straight wire (QA) Show and explain how your result for the total force agrees with your answers to Part B E) (All) The size of the loop is L = 0.3 m, W = 0.02 m, the loop carries a current of Loon = 10 A, and is a distance d 2 x 10-3 m from the wire. If the force on the loop due to the magnetic field of the long wire is Fg = 3 x 10-3 N, what is the current in the long wire?

Answer 1

h ↑ I loop Iwire "k-dark w plane a A) Force by wire on side AB loop is towards left as magnetic .. field due to wire is into plane at side AB and current is flowing from B to A R if curl fingers of right hand along BA in direction of field, force is given direction of right thumb in left B) on AD force is in upward direction on DC, Force is towards right : An BC Force is in downward direction" I c) Force on AD = Force on BC - FAD = FBC FAR= fo I wire I loop L . AB 27d] wire I 1. dtwl . Fex = Mo I wire I looph FR = Fnet = FAR-FED = Mo I wire Floop L 1 1) ви цяла AD , Вс Parola seve Eleep dr = Ho Twine Teopelnse 21 27 r=d Iniche ** Find - Iholm Me bang istemeyen IBC 27 6 I wire = 11A

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