Two small spheres with mass $m=15\mathrm{.}2g$ are hung by silk threads of length $L=1\mathrm{.}20m$ from a common point $($ Figure $1).$ When the spheres are given equal charges, so that $q_1=q_2=q,$ each thread hangs at an angle $=22\mathrm{.}0$ from the vertical.

Figure

$1$ of $1$

Part C

Find the magnitude of $q.$

Express your answer in coulombs.

$q=$