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EM WAVES AND DIELECTRICS

1. Write Maxwell's equations in differential form. (2) {JUN 15 [GNE]}
2. Derive Maxwell's electromagnetic wave equation for a non-conducting medium. (4) {JUN 15 [GNE]}

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3. Show that electrostatic field is equal to the negative of potential gradient and hence show that electrostatic field is conservative. (4) {JUN 15 [GNE]}
4. What is the physical significance of divergence of a vector field? (2) {JUN 15 [PTU]}
5. What do you mean by displacement current? (2) {DEC 14 [GNE]}
6. Show that velocity of plane electromagnetic waves in free space is given by c = 1 / v(µ0e0). (4) {DEC 14 [GNE]}
7. Using Maxwell's equations prove that ?.J + ?/?t = 0. (4) {DEC 14 [GNE]}

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8. Derive differential form of ampere's circuital law for (i) steady currents and (ii) varying currents. (4) {JUN 14 [GNE]}
9. Derive Maxwell's electromagnetic wave equation for vacuum. (4) {JUN 14 [GNE]}
10. Define Poynting vector. Give its significance. (2) {JUN 14 [GNE]}
11. What is the origin of displacement current density? (2) {JUN 14 [GNE]}
12. What is dielectric polarization? (2) {Dec 2013 [GNE]}

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13. Derive Maxwell's electromagnetic wave equation and hence find the velocity of light in vacuum. (4) {Dec 2013 [GNE]}
14. Give an example of lamellar and solenoidal vector fields. (2) {Jun 2013 [GNE]}
15. Define divergence of a vector field. Write its expression in terms of Cartesian coordinates and discuss its physical significance. (4) {Jun 2013 [GNE]}
16. Use Maxwell's equations to deduce wave equations in terms of E & H field vectors for free space. (4) {Jun 2013 [GNE]}
17. What is the significance of divergence and curl of a vector? (2) {Dec 2012 [GNE]}

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18. What is dielectric polarization? Explain. (2) {Dec 2012 [GNE]}
19. Write Maxwell's equations and discuss their significance. (4) {Dec 2012 [GNE]}
20. In an electric field, the potential is given as V(x,y,z) = v(4x² + 3y² + 9z²) Volt. Calculate electric field at the point (1,2,3). (4) {Dec 2012 [GNE]}

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