Question

Magnetic Fields from Two Infinite Sheets of Current

1

2

3

4

5

6

7

ー OSX

Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by x_o = 5.5 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= 3.1 A in the positive z-direction.

1)

What is B_x(P), the x-component of the magnetic field at point P, located at (x,y) = (-2.75 cm, 0)?

T

2)

What is B_y(P), the y-component of the magnetic field at point P, located at (x,y) = (-2.75 cm, 0)?

T

3)

What is B_y(R), the y-component of the magnetic field at point R, located at (x,y) = (-8.25 cm, 0)?

T

4)

What is

∮B⃗ ⋅dl⃗ ∮B→⋅dl→

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 sides ab and cd having length 11 cm, side ad having length 6 cm, and side bc having length 8.4 cm. The height of the trapezoid is H = 10.9 cm.

T-m

5)

What is B_y(S), the y-component of the magnetic field at point S, located at (x,y) = ( 8.25 cm, 0)?

T

6)

What is

∫abB⃗ ⋅dl⃗ ∫abB→⋅dl→

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

T-m

Answer 1

-component Bc2L) 오.ro n L 1 ㄷ 8,+8 2 3)

S) (s) 、” g, t 82. 8-491 1o s ) e net Rcop =6,036 x10