Problem 1 A nonconducting disk has a charge distribution on its surface that follows a radial distribution of the form: o = 001 Where oo has a value of 191 µC/m?, a is the radius of the disk and has a...

Only by doing symmetry analysis, without calculating the integrals, deduce which components of the electric field cancel, explain why and how the distribution should be so that this would not happen.

Extracted text: Problem 1 A nonconducting disk has a charge distribution on its surface that follows a radial distribution of the form: o = 001 Where oo has a value of 191 µC/m?, a is the radius of the disk and has a value of 10 cm and r is the distance measured from the center of the disk to an arbitrary point on it. The disk is located as shown in Figure 1. Figure 1. Disk with non-uniform load distribution