Unformatted text preview: ² (1 point)? (31) EM waves in vacuum 1. Use ² ijk notation and Einstein’s summation convention to show (due March 3 be±ore class). ∇ × ( ∇ × ~ A ) = ∇ ( ∇ · ~ A ) ∇ 2 ~ A (3 points) . 2. Use SI units and write down Maxwell’s equations in vacuum (2 points, March 3 in class). 3. Calculate ∇ × ( ∇ × ~ E ) to derive ∇ 2 ~ E = 1 v ∂ ∂t ! 2 ~ E with v = 1 √ μ ² (3 points , March 3 in class) . 4. Calculate v = 1 / √ ² μ and make an observation (2 points, March 3 in class). (32) Homework, due March 5 be±ore class (4 points). Repeat the previous considerations ±or ∇ × ( ∇ × ~ B ). Read the relativity notes up to Eq. (1.42), p.10 (due Monday March 15)....
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 Spring '11
 Berg
 Work, Magnetic Field, International System of Units, Kilogram

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