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Electrostatic Potential and Capacitance

  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. Q = – q
    2. Q = – 1/q
    3. Q = q
    4. Q = 1/q
Correct Option: A

Let the side length of square be 'a' then potential at centre O is ​ ​​(Given) ​

V =
k(-Q)
+
k(-q)
+
k(2q)
+
k(2Q)
= 0
a
a
a
a
2222

= – Q – q + 2q + 2Q = 0 = Q + q = 0 ​​ 
Q = – q



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