
Consider an infinitesimally small section of the rod of length dx that is at a distance x from the center of the rod. The charge contained in this infintesimally small section of the rod will be

The distance of this infinitesimally small section from point O is given by


From elemetary geometry we know that,

From (1),(2), (3a) and (3b) we have,

b)

Consider an infinitesimally small section of the rod of length dx that is at a distance x from the center of the rod. The charge contained in this infinitesimally small section of the rod is given by (1). The distance of this section from O is given by r-x. Hence, we have,

Sir please explain why is it that when I used Gauss' Law to find the field in the first case, (by constructing a Gaussian cylinder around the rod), I got the wrong answer.
ReplyDeleteThere are constraints for APPLYING Gauss Law
DeleteElectric field should be constant and perpendicular to area
Jhandu
ReplyDeletePlease show the integration
ReplyDelete