Flux through a loop

Evaluate the magnetic flux \(\oint\vec{\mathbf{B}}\cdot d\vec{\mathbf{\ell}}\) for each of the cases shown in the figure.

Part 1

Part (a):

Answer Section

• \(-2\mu_0\)

• \(-\mu_0\)

• zero

• \(\mu_0\)

• \(2\mu_0\)

Part 2

Part (b):

Answer Section

• \(-11\mu_0\)

• \(-9\mu_0\)

• zero

• \(9\mu_0\)

• \(11\mu_0\)

Part 3

Part (c):

Answer Section

• \(-5\mu_0\)

• \(-1\mu_0\)

• zero

• \(\mu_0\)

• \(5\mu_0\)

Part 4

Part (d):

Answer Section

• \(-6\mu_0\)

• \(-2\mu_0\)

• zero

• \(2\mu_0\)

• \(6\mu_0\)

Part 5

Part (e):

Answer Section

• \(-11\mu_0\)

• \(-5\mu_0\)

• zero

• \(5\mu_0\)

• \(11\mu_0\)

Attribution

Problem is from the OpenStax University Physics Volume 2 textbook, licensed under the CC-BY 4.0 license.