A s shown in the figure, a long, hollow, conducting cylinder of inner radius a a

Question

As shown in the figure, a long, hollow, conducting cylinder of inner radius a and outer radius b carries a current that is flowing out of the page. Suppose that a = 5 cm,

and the current

uniformly distributed over the cylinder wall (between a and b). Find the magnitude of the magnetic field at each of the following distances r from the center of the cylinder.

As shown in the figure, a long, hollow, conducting cylinder of inner radius a and outer radius b carries a current that is flowing out of the page. Suppose that a = 5 cm, b = 7 cm, and the current i = 132 mA, uniformly distributed over the cylinder wall (between a and b). Find the magnitude of the magnetic field at each of the following distances r from the center of the cylinder.

Explanation / Answer

a)

B (2 pi r) = u0 i ((r^2 - a^2)/(b^2 - a^2))

(r^2 - a^2)/(b^2 - a^2) = (6.3*6.3 - 5*5)/(7*7 - 5*5) = 0.61208

==> B = 0.61208 u0 i/(2 pi r) = 0.61208*4*3.1416e-7*0.132/(2*3.1416*0.063) = 2.56 x 10^-7 T

b)

B (2 pi r) = u0 i

==> B = u0 i/(2 pi r) = 4*3.1416e-7*0.132/(2*3.1416*0.09) = 2.93 x 10^-7 T

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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