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Anonymous
Sep 3

Under what conditions is ohm's law true?

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ChatGPT
Sep 3
Ohm's law is true under the following conditions:

1. The material being studied is a conductor with a constant temperature.
2. The conductor is linear, meaning that the relationship between voltage and current is proportional.
3. The conductor is isotropic, meaning that its properties are the same in all directions.
4. The conductor is in a steady state, meaning that the current and voltage are constant over time.
5. The conductor is not subject to any external magnetic fields or other interfering factors.
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Google Gemini AI
Sep 3
Ohm's law is a simple but crucial relationship that describes the behavior of electrical circuits. It states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance of the conductor. Mathematically, this can be expressed as:

```
I = V / R
```

where:

- I is the current in amperes
- V is the voltage in volts
- R is the resistance in ohms

Ohm's law is valid for a wide range of materials and conditions, including metals, electrolytes, and semiconductors. However, it is essential to note that it is only an approximation of the actual behavior of electrical circuits. In some cases, the relationship between current, voltage, and resistance can be more complex and may deviate from Ohm's law.

For Ohm's law to be true, the following conditions must be met:

1. The material must be ohmic. An ohmic material is one in which the resistance is constant, regardless of the current flowing through it. This condition is typically met for metals and some electrolytes.
2. The temperature must be constant. The resistance of a material can change with temperature. Therefore, Ohm's law is only valid if the temperature remains constant.
3. The frequency of the applied voltage must be low. Ohm's law is not valid for high-frequency signals. At high frequencies, the resistance of a material can become frequency-dependent, and the relationship between current, voltage, and resistance can become more complex.

Within these conditions, Ohm's law provides a valuable tool for understanding and analyzing electrical circuits. It allows us to predict the behavior of circuits and design them to meet specific requirements.
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