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Two identical pith balls each of mass m and charge q are suspended from a common point by two strings of equal length l. The angle between the strings is 2theta and initially changes at a rate |d(theta)/dt=w (omega) due to charge leak at a very slow rate. Find the rate of charge leak(dq/dt).

Two identical pith balls each of mass m and charge q are suspended from a common point by two strings of equal length l. The angle between the strings is 2theta and initially changes at a rate |d(theta)/dt=w (omega) due to charge leak at a very slow rate. Find the rate of charge leak(dq/dt).

Grade:12

2 Answers

LC vignesh
17 Points
3 years ago
We know tat,Tcosth=mg -1;Tsinth=kq²/l²sin²th - 2Divide 2/1...Differentiate on both sides...You will get ur ans
Kushagra Madhukar
askIITians Faculty 629 Points
11 months ago
Dear student,
Please find the answer to your question.
 
We have, Tcosθ = mg     → 1
Tsinθ = kq²/l²sin²θ           →  2
Divide eqn 2 by 1
tanθ = kq2/(mgl2sin2θ)
(sin3θ/cosθ)mgl2 = kq2
differentiate both sides w.r.t  t and replace dθ/dt by w → you will get dq/dt value
 
Thanks and regards,
Kushagra

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