16. 4.8u T 2.4u T 1.52u T 17. 0.96u N / m 4.8u N / m The diameter shows two infi

Question

16. 4.8uT   2.4uT   1.52uT

17. 0.96uN /m   4.8uN /m

The diameter shows two infinitely long wires carrying equal currents of 8.0A running anti - parallel to each other. They are both parallel to the z - axis, and are located on the x - axis at x = 3.0m and x = 0.0m respectively. Find the magnetic field at the following points on the x - y plane: (a) (5,0,0) (b) (1,0,0) and (c) (3,1,0). Referring to the previous problem, find the force per meter on a wire carrying a current of 2.0A in the positive z direction when placed at each of the three locatio0ns in the problem.

Explanation / Answer

B=munot)I/2(pi)d

B(5,0,0)=munot)I/2(pi)5 -munot)I/2(pi)2 (+ve Y-axis)

B(5,0,0)=-6(munot)I/4(pi)=0.48uT (-ve Y-axis)

B(1,0,0)=munot)I/2(pi)1 +munot)I/2(pi)2 (-Y-axis)

B(1,0,0)=3(munot)I/4(pi)=0.24uT (-Y axis)

B(3,1,0)=munot)I/2(pi)(sqrt10) *(3/sqrt10) +(munot)I/2(pi)1=0.152uT (-ve Z-axis)

17.magnetic force per unit length(5,0,0)=IXB=4.8*2=0.96uN /m (-ve X-axis)

magnetic force per unit length(1,0,0)=IXB=2.4*2=0.48uN /m(+ve X-axis)

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