Ampere's Law (Calculus) Video Lessons

Concept

# 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) When r is less than a, express the current inside the imaginary cylinder ir in terms of r and J.(b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder ir and its radius.

###### FREE Expert Solution

The electric current in a conductor:

Ampere's law:

(a)

At r less than a, the current in the conductor is:

ir = πr2

83% (431 ratings)
###### 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) When r is less than a, express the current inside the imaginary cylinder ir in terms of r and J.

(b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder ir and its radius.

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 (Calculus) concept. You can view video lessons to learn Ampere's Law (Calculus). Or if you need more Ampere's Law (Calculus) practice, you can also practice Ampere's Law (Calculus) practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Shih's class at TEXAS.