Charge Leakage in Suspended Spheres with Varying Approach Velocity

In summary, two equally charged spheres with mass m are suspended from the same point by silk threads of length l. The distance between the spheres is x<<l. The problem is to find the rate at which the charge leaks off each sphere (dq/dt), given that their approach velocity varies as v=a/root over x, where a is a constant. The charge leaks off at the same rate for both spheres, maintaining their equal charges. The spheres are suspended from a common point by silk threads of length l.
  • #1
DriggyBoy
19
0
Two small eqlly chrged spheres ech of mass m, are suspnded frm same point by silk threads of length l. The distnce betwen 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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  • #2
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.
 
  • #3
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'
 

1. What is the difference between conductors and insulators?

Conductors are materials that allow the flow of electric charges, while insulators are materials that do not allow the flow of electric charges.

2. How does electrostatic force between two spheres depend on their charges and distance?

The electrostatic force between two spheres is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

3. How can the electric field inside a charged sphere be calculated?

The electric field inside a charged sphere can be calculated by dividing the charge by the product of 4πε0 and the radius of the sphere.

4. What is the significance of the radius of a charged sphere in electrostatics?

The radius of a charged sphere determines the strength of the electric field at a given distance from the center of the sphere. It also affects the amount of charge that can be stored on the surface of the sphere.

5. Can the charge on a sphere be changed without changing its electric field?

No, the electric field of a charged sphere is directly proportional to its charge. Changing the charge will also change the electric field.

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