Question

A thin stick of length L with uniform charge per unit length lambda occupies the region x=y=0, 0 < H <= z <= H+L above an infinite grounded conducting plane at z=0. Write the following: a. the charge density for the stick in rectangular coordinates rho(x,y,z) and in cylindrical coordinates rho(s,phi,z), b. the Dirichlet Green function G((vec(x)), vec(x)') for the region z > 0, c. an integral expression for the potential in the region z > 0 expressed in rectangular coordinates Phi(x,y,z) and in cylindrical coordinates Phi(s,phi,z).

Name: a thin stick of length l with uniform charge per unit length lambda occupies the region xy0 0 h z hl above an infinite grounded conducting plane at z0 write the following a the charge densit 97372
Uploaded: 2023-07-17T19:01:03-08:00
Duration: 1 min 37 s
Channel: Timothy James
Description: a thin stick of length l with uniform charge per unit length lambda occupies the region xy0 0 h z hl above an infinite grounded conducting plane at z0 write the following a the charge densit 97372

          A thin stick of length L with uniform charge per unit length lambda occupies the region x=y=0, 0 < H <= z <= H+L above an infinite grounded conducting plane at z=0. Write the following: 
a. the charge density for the stick in rectangular coordinates rho(x,y,z) and in cylindrical coordinates rho(s,phi,z), 
b. the Dirichlet Green function G((vec(x)), vec(x)') for the region z > 0, 
c. an integral expression for the potential in the region z > 0 expressed in rectangular coordinates Phi(x,y,z) and in cylindrical coordinates Phi(s,phi,z).

Added by Elizabeth W.

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