Question

Part # II: (2 Marks) An EM field is said to be nonexistent or not Maxwellian if it fails to satisfy Maxwell's equations and the wave equations derived from them. Using the answers in part 1, show that the following magnetic field in a certain dielectric material satisfies all Maxwell's equations (part a) and find the corresponding phase constant B (part b). The magnetic field is given by H(y,t) = 5 cos (2nft + By)a, A/m for which = 480, H = Ho, o = 0, and f= 10 MHz (note that you cannot directly use the following expression B = W ELL. You have to derive from Maxwell's equations). Answer: (part a) Answer: (part b)

Answer 1

since they have asked using the answers in part 1, you have not provided the answers in part 1 to show that magnetic feild in certain dielectric material satisfies all the maxwells equations,.please provide the answers of part 1 in the comment section i will solve it.

for now i shall answer the next question that it to find the phase constant

please refer the image below

co Max Wlewis Equations point form 0 V. Do = Sus © V. By=0 ® VX Es- jw BS © VXH8 - Jo +jW DE Integral form & Doods = f Sus dy $85•d = 0 $ Es dl= jw J Bo ods +jWDs) •ds •*Consider. Lincan isotrophic homogenous : lopp dielectric Medium that it change free (Sy=0) : Maxwell eqn becomes VIE9-0-70 TxE57 -j wjets © RoH$300 V x H5 = ( tjwe) Es. + taking curl on both sides of: &q . DXDX Egz jwp (DxH5). Apply Vector identity 7x(0XA) = V(0.)-TA :. (v.165- PĚs = juope (r +jWE)ES fles - Pezo |© pa jupe et + jwE).—_© gimilary (1416 748= 0 0

¿q ☺ 60 aue homogenous helmholtz Equations. Or Yutor Wave Equation: 8 Complex quantity 19 = Q +iB]-☺ to fönd a & B from. £97 88 -Re y?= ?&= woude - 79 172) = pt«?- wojev prelt w€? -50 ..ds from Egg and Eq 10 We obtain Q : W 12 po wl i f* ()*+] 2 . * for Loppless Dielectrics T=0, E= fotr M = proper. TLLWE Subftiting these in Equations. Il and 12 We get a= 0 [p = wille is given papo. fz10Nha E=HEO Brontieradlom þz anx 10 x 10° x V poco lt. 30, [p= angka x 2 = 0+1878f} <=poco • B 274 XIOXIT 2
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