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Question: Two point charges of 1 \(\mu C\) and \(- 1\mu C\) are separated by a distance of 100 \(\overset{o}{A...

Two point charges of 1 μC\mu C and 1μC- 1\mu C are separated by a distance of 100 Ao\overset{o}{A}. A point P is at a distance of 10 cm from the midpoint and on the perpendicular bisector of the line joining the two charges. The electric field at P will be.

A

9NC19NC^{- 1}

B

0.9NC10.9NC^{- 1}

C

90NC190NC^{- 1}

D

0.09NC10.09NC^{- 1}

Answer

0.9NC10.9NC^{- 1}

Explanation

Solution

: The point lies on equatorial line of a short dipole.

E=2ql4πε0r3=9×109×106×108(101)3\therefore E = \frac{2ql}{4\pi\varepsilon_{0}r^{3}} = \frac{9 \times 10^{9} \times 10^{- 6} \times 10^{- 8}}{(10^{- 1})^{3}}

= 0.09 N C1C^{- 1}