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

TestHub · 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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