| Two electric dipoles A, B with respective dipole moments \[\overset{\xrightarrow{{}}}{\mathop{{{d}_{A}}}}\,=-4qa\hat{i}\]and \[\overset{\xrightarrow{{}}}{\mathop{{{d}_{B}}}}\,=2qa\hat{i}\] placed on the x-axis with a separation R, as shown in the figure The distance from A at which both of them produce is: |
 |
A) \[\frac{R}{\sqrt{2}+1}\]
B) \[\frac{R}{\sqrt{2}+1}\]
C) \[\frac{R}{\sqrt{2}-1}\]
D) \[\frac{R}{\sqrt{2}-1}\]
Correct Answer: A
Solution :
 |
| \[{{v}_{1}}={{v}_{2}}\] |
| \[\frac{k(2qa)}{{{x}^{2}}}=\frac{k(4qa)}{{{(R-x)}^{2}}}\] |
| \[R-x=\sqrt{2x}\] |
| \[x=\frac{R}{\sqrt{2}+1}\] |
You need to login to perform this action.
You will be redirected in
3 sec
