# Imperfect Symmetry

**Electricity and Magnetism**Level 4

Charge is unevenly distributed over a unit circle centered on the origin \((0,0)\). The linear charge density is \(\sigma=\sin(\theta)\).

The magnitude of the electric field at the origin can be expressed as \(\alpha\)\(k\), where \(k\) is the Coulomb constant. Enter the value of \(\alpha\), given to two decimal places.

**Details and Assumptions:**

Assume standard SI units for all quantities.

Note that \(\sin(\theta)\) is negative for some values of \(\theta\).