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5 Suppose E and H are vector fields satisfying Maxwell’s equations div(E) = 0, div(H) = 0, curl(E) = − 1 c ∂H ∂t, curl(H) = 1 c ∂E ∂t Show that (a) ∇×(∇×E) = − 1 c 2 ∂2E ∂t (b) ∇×(∇×H) = − 1 c 2 ∂2H ∂t (c) ∇2E = 1 c 2 ∂2E ∂t (d) ∇2H = 1 c 2 ∂2H ∂t Solution We use the fact that for a vector. T C X g() B g t i ͂ T C Y j ł B ʐ^ ̂ɕ֗ ł B TB ̓v C o V } N ʍ c @ l { o ώЉ i 擾 Ă ܂ q l T C g ɂĂ ͂ l ́ASSL M ɂ Í A S ɑ M ܂. Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more.

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