Can we transfer the whole charge of a body to another body?

  • Thread starter Thread starter oliverkahn
  • Start date Start date
  • Tags Tags
    Body Charge
Click For Summary
The discussion centers on the theoretical possibility of transferring the entire charge from one conductor to another. It is proposed that by enclosing a charged conductor (A) with an uncharged conductor (B) and connecting them with a wire, the charge can be transferred completely to conductor B, leaving A uncharged. The reasoning involves using a Gaussian surface to demonstrate that once equilibrium is reached, all charge must reside on the outer surface of the larger conductor B. The participants agree that this theoretical concept holds, although practical implementation remains uncertain. Ultimately, the conclusion is that the entire charge of one conductor can be transferred to another under ideal conditions.
oliverkahn
Messages
27
Reaction score
2
When I asked "Can we transfer the whole charge of a body to another body?"

my colleague replied:

"If charged body (say 5 Coulomb) is any charged conductor ##A##, it can be done by enclosing ##A## completely by second uncharged conductor ##B## and connecting them by a conducting wire ##B## will acquire 5 Coulomb and ##A## becomes uncharged.

Is this true? Can we transfer the whole charge of a body to another body?
 
Physics news on Phys.org
I believe this is true, at least theoretically. Construct a Gaussian surface between the two bodies, there must be no electric field in the region between A and B once equilibrium has been reached. That constrains ##Q## enclosed within the surface to be zero, so all the charge must reside in B. Assuming the wire is negligible/stores no charge.

As for if it would work in practice, I've no idea!
 
  • Like
Likes vanhees71
etotheipi said:
I believe this is true, at least theoretically. Construct a Gaussian surface between the two bodies, there must be no electric field in the region between A and B once equilibrium has been reached. That constrains ##Q## enclosed within the surface to be zero, so all the charge must reside in B.

As for if it would work in practice, I've no idea!
Thank you for your answer. I wanted to make sure if it works in practice. I guess it works so, but needs conformation.
 
I think I got the solution :

The charge always goes to the outer surface of a conductor. When we connect the two conductors ##A## and ##B## by a conducting wire, the whole system becomes a single conductor.

So the surface of "that" single conductor ##C## will be the surface of the larger conductor ##B##. So the charge will reside on the outer surface of larger conductor ##B##.

Thus we can transfer the whole charge of a conductor to another conductor.

Am I right or missing anything.
 
  • Like
Likes vanhees71
oliverkahn said:
I think I got the solution :

The charge always goes to the outer surface of a conductor. When we connect the two conductors ##A## and ##B## by a conducting wire, the whole system becomes a single conductor.

So the surface of "that" single conductor ##C## will be the surface of the larger conductor ##B##. So the charge will reside on the outer surface of larger conductor ##B##.

Thus we can transfer the whole charge of a conductor to another conductor.

Am I right or missing anything.

Yes I think that's right, on second thoughts it's perhaps even easier to consider a Gaussian surface just below the surface of conductor B, since that requires fewer logical leaps.
 
  • Like
Likes vanhees71
Susskind (in The Theoretical Minimum, volume 1, pages 203-205) writes the Lagrangian for the magnetic field as ##L=\frac m 2(\dot x^2+\dot y^2 + \dot z^2)+ \frac e c (\dot x A_x +\dot y A_y +\dot z A_z)## and then calculates ##\dot p_x =ma_x + \frac e c \frac d {dt} A_x=ma_x + \frac e c(\frac {\partial A_x} {\partial x}\dot x + \frac {\partial A_x} {\partial y}\dot y + \frac {\partial A_x} {\partial z}\dot z)##. I have problems with the last step. I might have written ##\frac {dA_x} {dt}...
Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'
I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...