CALC Negative charge is distributed uniformly around a

Problem 21.97

CALC Negative charge is distributed uniformly around a quarter-circle of radius that lies in the first quadrant, with the center of curvature at the origin. Find the - and -components of the net electric field at the origin.

                                                              Step by Step Solution

Step 1 of 6

Divide the quarter circle into small segments and calculate the electric field due to the small segment at the origin. Later integrate the expression of electric field due to the small segment to compute the net electric field due to the quarter circle at the origin.

Linear charge density of the quarter circle is,

Here  is the charge on the quarter and / is the length of the quarter circle.