CapacitanceHard
Question
Two identical charged spheres suspended from a common point by two massless strings of length l are initially a distance d(d << 1) apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result the charges approach each other with a velocity v. Then as a function of distance x between them,
Options
A.v ∝ x-1
B.v ∝ x1/2
C.v ∝ x
D.v ∝ x-1/2
Solution
At any instant of separation between charges is x.
equilibrium condition =
⇒
⇒
equilibrium condition =

⇒

⇒

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