SparkNotes: Magnetic Field Theory: Problems

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Problems

Problem 2.1:

Calculate the line integral for the magnetic field over the closed loop shown below:

A closed loop near a wire carrying a current I

[Solution]

Problem 2.2:

Using your results from the last problem, show that the line integral over any closed loop encompassing a current I is equal to .

[Solution]

Problem 2.3:

What is the surface integral of the magnetic field through the sphere shown below?

What is the flux through the sphere, a distance r from the intersection of two wires?

[Solution]

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