Charge Leakage in Suspended Spheres with Varying Approach Velocity

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SUMMARY

The discussion focuses on the charge leakage in two equally charged spheres suspended from a common point by silk threads. The approach velocity of the spheres is defined as v = a/√x, where 'a' is a constant and 'x' is the distance between the spheres. Participants clarify that although both spheres have equal charge magnitudes, they can still experience charge leakage at identical rates, ensuring that their charges remain equal throughout the process. The problem requires calculating the rate of charge leakage (dq/dt) for each sphere.

PREREQUISITES
  • Understanding of electrostatics and charge interactions
  • Familiarity with basic physics concepts such as velocity and acceleration
  • Knowledge of differential equations for solving rate problems
  • Concept of tension in suspended objects and its effects on charge distribution
NEXT STEPS
  • Calculate dq/dt for the spheres using principles of electrostatics
  • Explore the effects of varying approach velocities on charge distribution
  • Investigate the role of silk thread tension in charge leakage dynamics
  • Study similar problems involving multiple charged bodies in electrostatic equilibrium
USEFUL FOR

Physics students, researchers in electrostatics, and anyone studying the dynamics of charged particles in suspended systems.

DriggyBoy
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Two small eqlly chrged spheres ech of mass m, are suspnded frm same point by silk threads of length l. The distnce between sphres x<<l. Fnd dq/dt wth whch the charge leaks off each sphere.. If their approach velocity varies as v=a/root ovr x where a is a constnt.
*****
My ques is; how can the charge leak if both of them have a charge of equal magn ?
Explain this & also help me solve the problem :)
thnx in advance :)
 
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The two are suspended by threads from one common point?

It's conceivable that their charge leaks away at identical rates, so the remaining charges maintain equality.
 
thnx :)
now can u help me solve the prolem ! :)
nd yes they are suspended from a common point by a silk thread of length 'l'
 

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