Question

3) For any vector field F, the identity VX VXF= V(VF) - 12F (VF) - VF can be written. Starting from this statement, using Maxwell's equations and body equations in a simple environment, separately for E, D, B and H, a) Subtract the non-homogeneous vector wave equation when the source exists. J = OE b) Write the inhomogeneous vector wave equation for lossy condition by using c) Subtract the homogeneous vector wave equation in the region independent of the source. OD Maxwellt, would you be able to subtract the wave d) If Maxwell's contribution was not the term equation? Explain and show.

Answer 1

w Ý F. 7) .F when the sorovce sxists & coulomb's law 28 was where se charge density DCE Ampores law 2 x un 3 - Cuvent density fowa chys law. Z x + 2 dB v) 3.8.0 implies absence of force magnetic monopole using max wells correction (W) Become 3x7.49 3 + + The sxtra term constitutes displacement corrent wave san f ung; JA - AUT 6) now, J. DE 7x7 LUGE wave son s now Become and QP - L UGE C.

9 In absence of Any source, 3.3-0. J'AI - of It maxwells corrections ware not there then. 3x7.407 3x+4080 Px4 e at (3 + 2 = 0 px (p=0 & 36 - ID 1$++ * (2-3) un Alo DA & AUDZ so we do not get Sxact ware ear without wring maxwells correction But from this use can get wave ran By some simple transformation