Let the first and third charges located at the base of the equilateral triangle be "16\\ C" and "17\\ C", respectively. Let the second charge located at the middle vertex of the equilateral triangle be "18\\ C". Let, also, the length of the side of the equilateral triangle be "r=50\\cdot10^{-15}\\ m" and the side "q_1q_2" be the "x"-axis.
The force "F_{12}" directed away from the positive charge "q_1"(toward the positive charge "q_2"). The force "F_{32}" directed away from the positive charge "q_3"(toward the positive charge "q_2"). It is obviously, that the net electric force on charge "q_2" due to charges "q_1" and "q_3" is the vector sum of forces "F_{12}" and "F_{32}".
Let’s find the magnitudes of these forces:
Then, we can find the projections of forces "F_{12}" and "F_{32}" on axis "x" and "y":
Finally, the net electric force will be:
Answer:
"F_{net}=1.86\\cdot10^{39}\\ N."
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