CALC Negative charge -Q is distributed uniformly around a

Solution 97P Introduction We will divide the whole charge distribution in infinitesimally small segment. Then calculate x and y component of the field for this small segment. Then we will integrate to get the charge distribution for the whole segment. Step 1: Let us now consider a very small segment of charge distribution of length dl making an angle d at the center at an angle . We will first x and y component of the field due to this charge distribution and then integrate for whole distribution to get the total x and y component of the field. The total length of the arc is Now the total charge of the distribution is Q, hence the charge density is So the charge of the segment is Now the length of the segment is given by Hence the charge of the segment is