- #1
Prannoy Mehta
- 94
- 2
It's a dilemma I am in, I am stuck with definitions.
NOTE: I have assumed that all the wires, have no resistance, there is not concept of antilog, etc.
Capacitance in simple words, is the ability of a material to retain charge (and store it).
Force due to charges, when a conductor is placed between them is zero, as the text which I says permittivity, is infinity, hence by columbs law it is zero.
Now, suppose I have a capacitor, I have connected it to a battery (Ideal, no internal resistance, the capacitor, assumed does not breakdown), the plate connected to the positive terminal, has a few till potential becomes equal, moving towards the positive terminal. Now the positive plate induces negative charge on one surface of the other plate, and the other has positive charge, the plate has a higher potential then the negative terminal is it attached to, the electrons from the negative terminal of the battery make the potential zero. That's how a capacitor is charged, roughly speaking, in what I have learned. Using these, and a few others we have derived the basic equation of capacitors. And proved that that capacitance is directly proportional, to the dielectric of the material between them. So for a conductor, filling the space between them entirely, capacitance should be infinity.
Now I do the same charging procedure, with a conductor between them, filling the gap entirely between the two plates of the capacitors, now assuming the plates are conducting.
Due the electric field, applied the conductors free electrons move in the opposite direction of the electric having more negative charge near, the positive plate, and more positive charge near the negative plate. Now if it is conductor. Since one side of the conductor being at lower potential, compared to the other side, since it has a plate in contact with higher potential, excess electrons will flow, and one side becomes neutral, and a similar thing happens with the negative side of the conductor. And it becomes somewhat like a wire connecting both the ends of a battery. Now, according to the definition, given above, there is no charge stored, hence should be zero. But mathematically speaking, we are getting infinity, is there a limitation, of my concept, or is there a limitation, to the concept of dielectric, which I am unable to apply.
And if one does not mind, can just define dielectric in two or three lines, it would be of great help.
All help is appreciated.
NOTE: I got the value of infinity from the text, I am referring to. If we assume it to be zero, the latter problem is solved, but then the force between two charges with a conductor in between them becomes infinity, another dilemma.
NOTE: I have assumed that all the wires, have no resistance, there is not concept of antilog, etc.
Capacitance in simple words, is the ability of a material to retain charge (and store it).
Force due to charges, when a conductor is placed between them is zero, as the text which I says permittivity, is infinity, hence by columbs law it is zero.
Now, suppose I have a capacitor, I have connected it to a battery (Ideal, no internal resistance, the capacitor, assumed does not breakdown), the plate connected to the positive terminal, has a few till potential becomes equal, moving towards the positive terminal. Now the positive plate induces negative charge on one surface of the other plate, and the other has positive charge, the plate has a higher potential then the negative terminal is it attached to, the electrons from the negative terminal of the battery make the potential zero. That's how a capacitor is charged, roughly speaking, in what I have learned. Using these, and a few others we have derived the basic equation of capacitors. And proved that that capacitance is directly proportional, to the dielectric of the material between them. So for a conductor, filling the space between them entirely, capacitance should be infinity.
Now I do the same charging procedure, with a conductor between them, filling the gap entirely between the two plates of the capacitors, now assuming the plates are conducting.
Due the electric field, applied the conductors free electrons move in the opposite direction of the electric having more negative charge near, the positive plate, and more positive charge near the negative plate. Now if it is conductor. Since one side of the conductor being at lower potential, compared to the other side, since it has a plate in contact with higher potential, excess electrons will flow, and one side becomes neutral, and a similar thing happens with the negative side of the conductor. And it becomes somewhat like a wire connecting both the ends of a battery. Now, according to the definition, given above, there is no charge stored, hence should be zero. But mathematically speaking, we are getting infinity, is there a limitation, of my concept, or is there a limitation, to the concept of dielectric, which I am unable to apply.
And if one does not mind, can just define dielectric in two or three lines, it would be of great help.
All help is appreciated.
NOTE: I got the value of infinity from the text, I am referring to. If we assume it to be zero, the latter problem is solved, but then the force between two charges with a conductor in between them becomes infinity, another dilemma.