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1. State Ampere's circuital law in differential form for the general case of an arbitrary magnetic field. How is it derived from its integral form?
2. What is the significance of a nonzero net right-lateral differential of Hx and Hy normal to the z-direction at a point in space?
3. If a pair of E and B at a point satisfies Faraday's law in differential form, does it necessarily follow that it also satisfies Ampere's circuital law in differential form, and vice versa?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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Illustrate the cause of the components accelerating from rest down the conveyor.
Calculate the dc voltage applied to the circuit.
Quadrupole moments in the shell model
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