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alemsalem
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how do you prove that the electric field is determined uniquely from knowing the total charge on a conductor (just the outline of the proof).
Thanks!
Thanks!
how do you prove that the electric field is determined uniquely from knowing the total charge on a conductor (just the outline of the proof).
Simon Bridge said:... and here's me thinking that the electric field is stronger near the pointy bits of a charged conductor... requiring knowledge of the shape of the conductor as well as the net charge.
Perhaps there is a context I'm missing?
No doubt you have the right of this question though.
...the electric field is determined uniquely from knowing the total charge on a conductor
alemsalem said:the theorem doesn't say that the electrostatic field doesn't depend on the shape of the conductor, it just says given the total elecrtic charge on the conductors there is only one solution.
Simon Bridge said:I think a clear statement about what this particular "uniqueness theorum" is saying would be useful. BTW: it is known by a different name?
Knowing the total charge on conductors is important because it helps us understand how electric fields and currents behave in a given system. This information is crucial for designing and optimizing electrical circuits, as well as predicting and controlling the behavior of electrical devices.
The total charge on conductors is determined by measuring the amount of positive or negative charge present on the surface of the conductor. This can be done using specialized instruments such as an electroscope or by performing calculations based on the properties of the conductor.
Yes, the total charge on conductors can change due to a variety of factors such as the flow of current, contact with other charged objects, or changes in the surrounding electric field. This is why it is important to continuously monitor and control the charge on conductors in electrical systems.
The total charge on conductors is enough because it is a fundamental property that determines the behavior of the conductor in an electric field. By knowing the total charge, we can predict how the conductor will interact with other charged objects and how it will behave in a given circuit.
The total charge on conductors directly affects electrical properties such as capacitance, resistance, and conductivity. For example, a higher total charge on a conductor will result in a higher capacitance, which is the ability to store electrical energy. Understanding the total charge is therefore crucial for designing and optimizing electrical systems.