Consider a homogeneous, isotropic conducting medium with material constants ε, μ, σ and no net charge. starting from the maxwell's equations derive the wave equations for the fields e(f, t) and b(a, t). (b) consider a plane wave of the type e(,t) exp(ikz - iut) traveling along the z-axis in the situation described in (a) (i) derive the dispersion relation showing howw and k are related. (ii) determine k assuming that im k 《 rek. (iii) under which conditions is the assumption of (ii) justified? (iv) after which distance ξ does the amplitude of the electric (or magnetic) field of the wave fall off by the factor 1/e? (c) repeat the calculation performed in (b), but in the "quasi stationary approximation" with the displacement current neglected, and derive the distance δ after which the amplitude of the electric (or magnetic) field of the plane wave is diminished by the factor 1/e. under which conditions is this "quasi stationary approximation" justified?

Acetic acid  /əˈsiːtɪk/, systematically named  ethanoic acid  /ˌɛθəˈnoʊɪk/, is a colourless liquid  organic compound  with the  chemical formula  ch3cooh (also written as ch3co2h or c2h4o2). when undiluted, it is sometimes called  glacial acetic acid.  vinegar  is no less than 4% acetic acid by volume, making acetic acid the main component of vinegar apart from water. acetic acid has a distinctive sour taste and pungent smell. in addition to household vinegar, it is mainly produced as a precursor to  polyvinyl acetate  and  cellulose acetate. it is classified as a  weak acid  since it only partially  dissociates  in solution, but concentrated acetic acid is corrosive and can attack the skin.acetic acidnamespreferred iupac nameacetic acidsystematic iupac nameethanoic acidother namesvinegar (when dilute); hydrogen acetate; methanecarboxylic acid[1][2]identifierscas number64-19-7  3d model (jsmol)interactive image3dmetb00009 reference506007chebichebi: 15366  chemblchembl539  chemspider171  drugbankdb03166  echa infocard100.000.528ec number200-580-7e numbere260  (preservatives)gmelin reference1380iuphar/bps1058keggd00010  meshacetic+acidpubchem  cid176rtecs numberaf1225000uniiq40q9n063p  un number2789inchiinchi=1s/c2h4o2/c1-2(3)4/h1h3,(h,3,4)  key:   qtbsbxvteameqo-uhfffaoysa-n  smilescc(o)=o