A charge distribution is uniform along the z-axis and of the r-dependence p=po [1-(ra)] for r...

 

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A charge distribution is uniform along the z-axis and of the r-dependence p=po [1-(ra)] for r a where po and a are constants and 7 is the radial component in a cylindrical coordinate system. (a) Find the electric field everywhere from the integral laws, using symmetry considerations. (b) Find the electric field everywhere from the differential laws. You will find differential equations for a. It is sufficient if you confirm that the E-field of Part (a) satisfies the differential equation. A charge distribution is uniform along the z-axis and of the r-dependence p=po [1-(ra)] for r a where po and a are constants and 7 is the radial component in a cylindrical coordinate system. (a) Find the electric field everywhere from the integral laws, using symmetry considerations. (b) Find the electric field everywhere from the differential laws. You will find differential equations for a. It is sufficient if you confirm that the E-field of Part (a) satisfies the differential equation.

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a Finding the electric field everywhere from the integral laws Given the symmetry of the problem uni... View the full answer