(Solved): The figure shows an uneven arrangement of electrons \( (\mathrm{e}) \) and protons \( (\mathrm{p}) ...

The figure shows an uneven arrangement of electrons \( (\mathrm{e}) \) and protons \( (\mathrm{p}) \) on a circular arc of radius \( r=2.00 \mathrm{~cm} \), with angles \( \theta_{1}=23.0^{\circ} \). \( \theta_{2}=49.0^{\circ}, \theta_{3}=34.0^{\circ} \), and \( \theta_{4}=30.0^{\circ} \), What are the (a) magnitude and (b) direction (relative to the positive direction of the \( x \) axis) of the net electric field produced at the center of the arc?