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Question: Answered & Verified by Expert
In figure two positive charges $\mathrm{q}_2$ and $\mathrm{q}_3$ fixed along the $\mathrm{y}-$ axis, exert a net electric force in the $+\mathrm{x}$-direction on a charge $\mathrm{q}_1$ fixed along the $\mathrm{x}$-axis. If a positive charge $\mathrm{Q}$ is added at $(\mathrm{x}, 0)$, the force on $\mathrm{q}_1$

PhysicsElectrostatics
Options:
  • A
    shall increase along the positive
  • B
    shall decrease along the positive $x$-axis
  • C
    shall point along the negative $x$-axis
  • D
    shall increase but the direction changes because of the intersection of $\mathrm{Q}$ with $\mathrm{q}_2$ and $\mathrm{q}_3$
Solution:
2700 Upvotes Verified Answer
The correct answer is:
shall increase along the positive
The force on $\mathrm{q}_1$ depend on the force acting between $\mathrm{q}_1$ and $\mathrm{q}_2$ and $\mathrm{q}_1$ and $\mathrm{q}_3$ so that the net force acting on $\mathrm{q}_1$ by $\mathrm{q}_2$ and $\mathrm{q}_1$ by $\mathrm{q}_3$ is along the $+\mathrm{x}$-direction, so the force acting between $\mathrm{q}_1, \mathrm{q}_2$ and $\mathrm{q}_1, \mathrm{q}_3$ is attractive force as shown in figure:


The attractive force between these charges states that $\mathrm{q}_1$ is a negative charge (since, $\mathrm{q}_2$ and $\mathrm{q}_3$ are positive). Then the force acting between $\mathrm{q}_1$ and charge $\mathrm{Q}$ (positive) is also know as attractive force and then the net force on $q_1$ by $q_2, q_3$ and $Q$ are along the same direction as shown in the figure.

The figure shows that the force on $\mathrm{q}_1$ shall increase along the positive $x$-axis due to the positive charge $Q$.

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