Unformatted text preview: σ on it. You will need the Heavyside Θfunction, deﬁned below, for this problem. Θ( x ) = x < 1 x > 1 2 x = 0 It can be represented by 1 2 ‡ 1 + x  x  · . Another nice representation is Θ( x ) = lim ² → 1 2 ‡ 1 + tanh x ² · . Note that lim ² → 1 2 ² sec h 2 x ² = d Θ( x ) dx = δ ( x )....
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 Spring '09
 Gangopashyaya
 Charge, Magnetism, Fundamental physics concepts, charge density, total charge, uniform charge density, volume charge densities

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