1 state amperes circuital law in differential form for, Ask an Expert

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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?

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