Problem: An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J= 5.5 A/m2 uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB (a) Express B in terms of J and r.(b) For r = 0.5a, calculate the numerical value of B in Tesla

FREE Expert Solution

The magnetic field at r < a:

B=μ0ir2πr

(a)

B = μ0(πr2J)/(2πr) = 0rJ)/2

View Complete Written Solution
Problem Details

An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J= 5.5 A/m2 uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB 

(a) Express B in terms of J and r.

(b) For r = 0.5a, calculate the numerical value of B in Tesla

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Ampere's Law with Calculus concept. You can view video lessons to learn Ampere's Law with Calculus. Or if you need more Ampere's Law with Calculus practice, you can also practice Ampere's Law with Calculus practice problems.