Three charged particles are placed on a straight line as shown in the figure. $${q}_{1}$$ and 4$${q}_{2}$$ are fixed but $${q}_{3}$$ can be moved. Under the action of the forces from $${q}_{1}$$ and $${q}_{2}$$, $${q}_{3}$$ is in equilibrium. What is the relation between $${q}_{1}$$ and $${q}_{2}$$?
A
$${q}_{1}=4{q}_{2}$$
B
$${q}_{1}=-{q}_{2}$$
C
$${q}_{1}=-4{q}_{2}$$
D
$${q}_{1}={q}_{2}$$
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Solution
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Correct option is C. $${q}_{1}=-4{q}_{2}$$
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