Question:

Two charges $q$ and $-3q$ are fixed on $x$-axis separated by distance $d$. Where should a third charge $2q$ be placed from $A$ such that it will not experience any force?

Updated On: Jul 7, 2022
  • $\frac{d-\sqrt{3}d}{2}$
  • $\frac{d+\sqrt{3}d}{2}$
  • $\frac{d+3d}{2}$
  • $\frac{d-3d}{2}$
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The Correct Option is B

Solution and Explanation

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Concepts Used:

Electric Field

Electric Field is the electric force experienced by a unit charge. 

The electric force is calculated using the coulomb's law, whose formula is:

\(F=k\dfrac{|q_{1}q_{2}|}{r^{2}}\)

While substituting q2 as 1, electric field becomes:

 \(E=k\dfrac{|q_{1}|}{r^{2}}\)

SI unit of Electric Field is V/m (Volt per meter).