In a top$-$secret laboratory, a team of brilliant scientists was conducting experiments on electric charges. They set up a triangle and carefully positioning three charges of $1\mathrm{.}0\mu$C each at the vertices A$,$ B$,$ and C of the triangle as shown in Figure $1$ below. As the scientists observed the charges interacting, they decided to introduce a fourth charge, q$,$at the midpoint of the side BC$.$They were intrigued to see how this additional charge would affect the electric forces within the triangle. Help these scientists to determine the magnitude of this charge, q$,$ that would result in a net force of zero$($achieve equilibrium in the system$)$ at vertex A$?$

Transcribed Image Text:

0.13 m A B 0.05 m Figure 1 C 0.13 m A B 0.05 m Figure 1 C

Answer rating: 100% (QA)

To determine the charge q that needs to be placed at the midpoint of BC to achieve a net force of zero at vertex A we can use Coulombs law Coulombs la... View the full answer