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## Homework Statement

A non-uniformly charged semicircle of radius R=23.3 cm lies in the xy plane, centered at the origin, as shown (picture shows circle going from 0 to pi). The charge density varies as the angle (in radians) according to =−385, where has units of C/m. What is the x component of the electric field at the origin?

## Homework Equations

dq = λ ds

dE = kdq/(r^2)

## The Attempt at a Solution

I already found the total charge to be -4.43E-6 C. I know the charge is nonuniformly distributed, but given symmetry shouldn't the x component simply end up being 0?