What is the Potential Inside a Homogeneous Resistor?

In summary, potential inside a resistor refers to the amount of electrical potential energy per unit charge present within the resistor. It is calculated using Ohm's Law and is affected by factors such as current, resistance, voltage, material, and temperature. The potential inside a resistor plays a crucial role in determining circuit behavior and can be negative when the direction of current flow is opposite to the electric field within the resistor.
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Homework Statement


Determine the potential [tex]\phi[/tex] inside a resistor of length l and radius a.
Also determine the current density J, resistance R, surface and volume charge density Pe and Pes. The resistor is homogeneous.


Homework Equations





The Attempt at a Solution


V=Ed, d=l here
V=El
E = J/[tex]\sigma[/tex]
So V= J/[tex]\sigma[/tex] l ?
 

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Anyone?
 
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With your attempt so far, you can find the electric field. Then use that to compute the potential difference between one end of the resistor and a point somewhere in the middle. That should get you started.
 

1. What is potential inside a resistor?

Potential inside a resistor refers to the amount of electrical potential energy per unit charge that is present within the resistor. It is a measure of how much work is required to move an electric charge through the resistor.

2. How is potential inside a resistor calculated?

The potential inside a resistor can be calculated using Ohm's Law, which states that the potential difference (V) across a resistor is equal to the current (I) flowing through the resistor multiplied by the resistance (R) of the resistor (V=IR).

3. What factors affect potential inside a resistor?

The potential inside a resistor is affected by the amount of current flowing through the resistor, the resistance of the resistor, and the voltage applied across the resistor. It is also affected by the material and temperature of the resistor.

4. How does potential inside a resistor affect circuit behavior?

The potential inside a resistor plays a crucial role in determining the behavior of a circuit. It affects the flow of current and the amount of power dissipated within the resistor, which can impact the overall performance and functionality of the circuit.

5. Can potential inside a resistor be negative?

Yes, potential inside a resistor can be negative. This occurs when the direction of current flow is opposite to the direction of the electric field within the resistor. In this case, the potential inside the resistor will decrease in the direction of the current flow, resulting in a negative potential difference.

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