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Unformatted text preview: 3. Inside a grounded hollow right circular cylinder of radius a with symmetry axis along z axis and ends at z = 0 and L the electrostatic potential, ( , , z ) , satisfies ∇ 2 ( , , z ) = − 4 Q a 3 ( − b ) Θ ( 2 L / 3 − z ) Θ ( z − L / 3 ) Using the Green’s function satisfying ∇ 2 G D ( r , r ′ ) = ( r − r ′ ) and G D ( r , r ′ ) = 0 on the cylinder find the electrostatic potential in Gaussian units for all points inside the cylinder. The G D ( r , r ′ ) can be obtained from the following table using the conversion − q ( x , x ′ ) = G D ( r , r ′ ) .While any of the forms in the table could be used, for this problem choose the first expression. It is not necessary to derive the Green’s function or to determine its expansion coefficient....
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This note was uploaded on 12/19/2010 for the course PHYS 411 taught by Professor G during the Spring '10 term at Missouri S&T.
 Spring '10
 G

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