Three identical charged balls each of charge 2 C are suspended from a common point P by silk threads of 2 m each (as shown in figure). They form an equilateral triangle of side 1 m . The ratio of net force on a charged ball to the force between any two charged balls will be

Question

Three identical charged balls each of charge 2 C are suspended from a common point P by silk threads of 2 m each (as shown in figure). They form an equilateral triangle of side 1 m . The ratio of net force on a charged ball to the force between any two charged balls will be, 3 : 1, 3 : 2, 1 : 1, 1 : 4

MARKS App · Accepted Answer

We have force between any two charge F 1 = F 2 = q 2 4 π ε 0 l 2 = F Resultant electrostatics force F R = F 1 2 + F 2 2 + 2 F 1 F 2 cos 60 ° = F 2 + F 2 + 2 F 2 × 1 2 = 3 F 2 So, the ratio of net force on a charged ball to the force between any charged balls is ⇒ F R F = 3

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