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EE1 HW 6

EE1 HW 6 - z = 2 m If the two loops have the same radius a...

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EE 1; Homework 6: DUE MAY 28 th Wednesday 5 PM ( THERE WILL BE A COLLECTION BOX IN FRONT OF TA’s OFFICE ENGR. IV RM# 64-118 ) (1) An infinitely long wire carrying a 25-A current in the positive x -direction is placed along the x -axis in the vicinity of a 20-turn circular loop located in the x y plane as shown in the following Figure. If the magnetic field at the center of the loop is zero, what is the direction and magnitude of the current flowing in the loop? (2) Two parallel, circular loops carrying a current of 40 A each are arranged as shown in the Figure below. The first loop is situated in the x y plane with its center at the origin and the second loop’s center is at

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Unformatted text preview: z = 2 m. If the two loops have the same radius a = 3 m, determine the magnetic field at: (a) z =0, (b) z =1 m, (c) z =2 m. (3) Two identical coaxial coils, each of N turns and radius b, are separated by a distance d, as shown in the Figure below. A current I flows in each coil in same direction. (a) Find the magnetic flux density B = a x B x at a point midway between the coils. (b) Show that dB x / dx vanishes at midpoint. (c) Find the relation between b and d such that d 2 B x / dx 2 also vanishes at the midpoint. (Such pair of coils is used to obtain an approximately uniform magnetic field in the midpoint region. They are known as Helmholtz coils.) (4)...
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EE1 HW 6 - z = 2 m If the two loops have the same radius a...

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