Coulomb's Law (Electric Force) Video Lessons

Concept

# Problem: A charge +Q is located at the origin and a second charge, + 4Q, is at distance d on the X-axis.A. Where should a third charge,q , be placed, so that all three charges will be in equilibrium? Express your answer in terms of d .B. What should be its sign, so that all three charges will be in equilibrium? Negative or Positive?C. What should be its magnitude, so that all three charges will be in equilibrium? Express your answer in terms of Q .

###### FREE Expert Solution

Coulomb's law:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{k}{\mathbf{q}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{{\mathbf{r}}^{\mathbf{2}}}}$

A.

The three charges will be in equilibrium if F1 = F2

From Coulomb's law:

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###### Problem Details

A charge +Q is located at the origin and a second charge, + 4Q, is at distance d on the X-axis.

A. Where should a third charge,q , be placed, so that all three charges will be in equilibrium? Express your answer in terms of d .

B. What should be its sign, so that all three charges will be in equilibrium? Negative or Positive?

C. What should be its magnitude, so that all three charges will be in equilibrium? Express your answer in terms of Q .