By P. Hammond

ISBN-10: 0080163823

ISBN-13: 9780080163826

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**Example text**

Electromotive force. 12. Faraday's law. A REVIEW OF ELEMENTARY ELECTROMAGNETISM 27 where Φ is the magnetic flux linking the circuit. This equation is known as Faraday's law of electromagnetic induction. We have derived it from the consideration of force on a moving charge. Experiment shows, how ever, that the law is far wider in its application. It applies to any circuit whatever, whether stationary, moving, or undergoing deformation. Faraday's law is one of the most powerful and universal laws of physics.

5. Distinguish clearly between relative and absolute permeability. In an experi ment it is required to "screen" a region from a constant magnetic field. Two iron plates are available for this purpose. Should they be placed across the magnetic field or along it? Sketch the resulting flux distribution in either case. [Ans. 6. , (d) electric potential, (e) magnetic potential, (f) relative permittivity, (g) mag netic pole, (h) capacitance and (i) reluctance. [Ans. 7. Show that in the electromagnetic wave described in eqs.

Show that A x (B x C) = В (A . C) - С (A. B). 6. Explain what is meant by the gradient of a scalar quantity. Express the gradient of the scalar potential V in cylindrical (r, 0, z) and spherical (r, 0, φ) coordinates. 7. The vector г points from the source located at (JC', y', z') to the field point (x,y, z). Show that V(l/r) = — V'(l/0» where V operates on the field coordinates and V on the source coordinates. Determine V(l/r). 8. Explain what is meant by the divergence of a vector field. Discuss why an elec tric field D can have divergence, but a magnetic field В cannot have divergence.

### Applied Electromagnetism by P. Hammond

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