Ampere's Law (Calculus) Video Lessons

Concept

# Problem: The value of the line integral around the closed path in the figure is 1.70×10−5 Tm .a. What is the direction (in or out of the page) of I3?b. What is the magnitude of I3?

###### FREE Expert Solution

Ampere's law:

$\overline{){\mathbf{\oint }}{\mathbf{B}}{\mathbf{·}}{\mathbf{d}}{\mathbf{s}}{\mathbf{=}}{{\mathbf{\mu }}}_{{\mathbf{0}}}{{\mathbf{I}}}_{\mathbf{e}\mathbf{n}\mathbf{c}\mathbf{l}\mathbf{o}\mathbf{s}\mathbf{e}\mathbf{d}}}$, where permeability, μ0 = 4π × 10-7 H/m

(a)

We use the right-hand rule to determine the direction of the current, I3.

The magnetic field is moving in a clockwise direction around the loop.

###### Problem Details

The value of the line integral around the closed path in the figure is 1.70×10−5 Tm .

a. What is the direction (in or out of the page) of I3?

b. What is the magnitude of I3?