Question:
Two particles of charges $+e$ and $+2e$ are at 16 cm away from each other. Where should another charge q be placed between them, so that the system remains in equilibrium?
Two particles of charges $+e$ and $+2e$ are at 16 cm away from each other. Where should another charge q be placed between them, so that the system remains in equilibrium?
Show Hint
For equilibrium, the forces on the middle charge from both ends must balance.
Updated On: Apr 16, 2026
- 24 cm from $+e$
- 12.23 cm from $+e$
- 80 cm from $+e$
- 6.63 cm from $+e$
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: For equilibrium, force on q due to both charges must be equal and opposite.
Step 2: $\frack e qx² = \frack (2e) q(16-x)² → \frac1x² = \frac2(16-x)² → \frac16-xx = \sqrt2 → x = \frac161+\sqrt2 = 6.63$ cm.
Step 3: Final Answer: 6.63 cm from $+e$.
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