Two infinite sheets of current flow parallel to the y-z plane as shown. The shee

Question

Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by xo = 5.6 cm. Each sheet consists of an infinite array of wires with a density n = 14 wires/cm. Each wire in the left sheet carries a current I1 = 3.2 A in the negative z-direction. Each wire in the right sheet carries a current I2= 3.2 A in the positive z-direction.

1)What is Bx(P), the x-component of the magnetic field at point P, located at (x,y) = (-2.8 cm, 0)?

I got the answer for 1 It's 0.

2)What is By(P), the y-component of the magnetic field at point P, located at (x,y) = (-2.8 cm, 0)?

3)What is By(R), the y-component of the magnetic field at point R, located at (x,y) = (-8.4 cm, 0)?

4)What is

where the integral is taken around the dotted path shown, from a to b to c to d to a. The path is a trapazoid with sidesab and cd having length 11.1 cm, side ad having length 6.1 cm, and side bc having length 8.6 cm. The height of the trapezoid is H = 11 cm.

5)What is By(S), the y-component of the magnetic field at point S, located at (x,y) = ( 8.4 cm, 0)?

6)What is

where the integral is taken along the dotted line shown, from a to b.

Explanation / Answer

1. 0 T

2. -5.629*10^(-5) T

3. 0 T

4. -6.1927*10^(-6) T

5. 0 T

6. -6.1927*10^(-6) T

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