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Electrostatics question

2012 · Q173
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Electrostatics question

2012 · Q173

NEETPhysicsElectrostaticsMCQ+4 / −1
Four point charges −-−Q, −-−q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is
  1. A
    Q = −-−q
  2. B
    Q = −1q- {1 \over q}−q1​
  3. C
    Q = q
  4. D
    Q = 1q{1 \over q}q1​
View written solutionFree

Correct answer: A

Let the side length of square be 'a' then potential at centre O is

AIPMT 2012 Prelims Physics - Electrostatics Question 58 English Explanation


V=k(−Q)a2+k(−q)a2+k(2q)a2+k(2Q)a2=0V = {{k( - Q)} \over {{a \over {\sqrt 2 }}}} + {{k( - q)} \over {{a \over {\sqrt 2 }}}} + {{k(2q)} \over {{a \over {\sqrt 2 }}}} + {{k(2Q)} \over {{a \over {\sqrt 2 }}}} = 0V=2​a​k(−Q)​+2​a​k(−q)​+2​a​k(2q)​+2​a​k(2Q)​=0

= – Q – q + 2q + 2Q = 0 = Q + q = 0

∴\therefore∴ Q = – q

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