A Portion of an infinite solenoid is shown at right. a. What loop should you use

Question

A Portion of an infinite solenoid is shown at right. a. What loop should you use with Stokes' theorem to get information about the z-component of the vector potential? Explain, and draw it on the diagram. b. Consider three loops: one entirely inside the solenoid, one partly inside the solenoid and partly outside, and a third entirely outside the solenoid. What do these loops tell you about the magnitude of the z-component in each region? Explain your reasoning. c. Could the magnitude of the z-component be zero everywhere in space? Could the magnitude of the z-component be uniformly non-zero everywhere in space? d. Which of the above cases could be sourced by this magnetic field? Explain your reasoning.

Explanation / Answer

a)The loop with entirely inside the solenoid we will use to get information about the z-component of the vector potential.

c)No, the magnitude of z-component couldn't be zero everywhere in space.

Yes, the magnitude of z-component could be uniformly non zero everywherein space.

d) the magnitude of z-component could be uniformly non zero everywherein space is sourced by this magnetic field.

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