Electrostatics Question 260

Question: Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangements of charges is possible for P, Q, R, S, T and U respectively [IIT-JEE (Screening) 2004]

Options:

A) 100 dynes

B) 160 dynes

C) 1600 dynes

D) 400 dynes

Show Answer

Answer:

Correct Answer: A

Solution:

By the concept of electrical image, it is considered that an equal but opposite charge present on the other side of the plate at equal distance. Hence force

$ F=\frac{40\times 40}{4^{2}}=100dynes $



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