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Unformatted text preview: 2 p t 2 = c 2 2 p , nd and expression for p in terms of . Solution: Using the wave equation, we have c 2 2 p =B 2 t . From this, we then guess that p =B c 2 t . 3. From the expression you found for p , take partial derivative with respect to time and compare the resulting expression with your previous expression for p t . Does satisfy the wave equation? If so, what is the wave velocity for ? Solution: Now take the partial derivative with respect to time of p =B c 2 t , we nd p t =B c 2 2 t 2 . Comparing this with the expression we had earlier for p t =B 2 , we conclude that 2 t 2 = c 2 2 . So satises the wave equation with the same velocity c . 1...
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 Fall '04
 POLLACK
 Physics, Magnetism

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