Sunday, March 28, 2010
Irodov Problem 3.21
The electric field at a distance r from the center of the sphere can be calculated using Gauss law easily as,
E will be directed along the radius vector.
From elementary geometry we can see that,
The component of electric field along the z-axis is given by,
Equation (4) basically tells us that the component of electric field along the z-axis does not depend on in other words its same all over the disc section at a distance ro from the center.
The total area of the disc section is given by,
Since the area vector of the disc section is directed along the z-axis, the total flux through this disc section is given by,
Posted by Krishna Kant Chintalapudi at 11:26 AM