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 = 7.8 cm. Each sheet consists of an infinite array of wires with a density n = 17 wires/cm. Each wire in the left sheet carries a current I1 = 2.9 A in the negative z-direction. Each wire in the right sheet carries a current I2 = 3.5 A in the positive z-direction.

1)

What is By(P), the y-component of the magnetic field at point P, located at (x,y) = (-3.9 cm, 0)?

2) What is By(R), the y-component of the magnetic field at point R, located at (x,y) = (-11.7 cm, 0)?

3) 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 sides aband cd having length 9.3 cm, side ad having length 8.3 cm, and side bc having length 11.6 cm. The height of the trapezoid is H = 9.2 cm.

4) What is By(S), the y-component of the magnetic field at point S, located at (x,y) = ( 11.7 cm, 0)?

5) What is

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

Explanation / Answer

(3) Integral B.dL = u*I

I = current enclosed by the figure

u = 4*pi*(10^ -7)

I = current density*length

Current density for sheet 1 = current flowing/length

= 12*2.9/0.2*7.8 = 22.3 Amp/cm

I = 22.3*H = 22.3*9.2 =205.16 Amp

Integral B.dL = 4*pi*(10^ -7)*205.16 =0.820*(10^ -4)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.