Charges dipped

Classical Mechanics Level 4

Two charged balls of same radius and weight suspended on threads of equal length from the same point are in equilibrium with their threads making certain angle (system is in air). Now the system is immersed in liquid of density d d and dielectric constant K K , again equilibrium is reestablished. Find the density of the balls so that the angle of divergence of the thread is same for both medium.

Details and Assumptions

  • K = 10 , d = 9 K=10, d= 9 .

  • All values are in SI units, Calculate answer in SI units.


The answer is 10.

Kushal Patankar by Kushal Patankar , 22, India

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1 solution

Nishu Sharma
May 14, 2015

Standard Problem , Asked in an old AIEEE Exam . If i correctly rememeber the answer is ρ = k k − d \rho =\cfrac { k }{ k-d }

0 Helpful 0 Interesting 0 Brilliant 0 Confused

k d k − 1 \frac{kd}{k-1}

Kushal Patankar - 6 years ago

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But the formula by nishu sharma also holds true for various cases. Are both the expressions right?

Kaushik Chandra - 3 years, 11 months ago

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