If a pair of e and b at a point satisfies faradays law in, Physics

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If a pair of e and b at a point satisfies faradays law in

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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