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What is the failure of Ohms law?
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Ohm's Law, which states that \( V = IR \) (voltage = current × resistance), works well in many situations, but it doesn't apply in all cases. Here are a few scenarios where Ohm's Law fails:

1. Non-Linear Materials

   - Ohm's Law assumes the relationship between voltage and current is linear, meaning that if you double the voltage, the current should also double (if resistance remains constant). However, some materials don’t follow this linear relationship. These materials are called non-ohmic. Examples include:
     - Diodes: The current doesn’t increase linearly with voltage, and it only flows in one direction.
     - Light Bulbs: The resistance of a filament changes with temperature, so the current-voltage relationship is not linear.
   

2. Temperature Effects

   - In most conductive materials, resistance changes with temperature. Ohm's Law assumes that resistance remains constant, but at high currents or voltages, the heating of the material can cause the resistance to change, leading to non-linear behavior. For example, metals have higher resistance when they heat up, while semiconductors may have lower resistance as they warm up.

3. Semiconductors

   - Semiconductors like silicon don’t follow Ohm’s Law in the traditional sense. In these materials, the relationship between current and voltage can be quite complex, especially when they are used in devices like transistors or solar cells. For example, in a diode, the current doesn't increase linearly with voltage but follows an exponential curve.

4. Very High Voltages

   - At extremely high voltages, the material might break down and conduct in a way that doesn’t follow Ohm’s Law. For example, at high enough electric fields, dielectric breakdown can occur in insulators, causing them to conduct unexpectedly.

5. Superconductors

   - Superconductors are materials that have zero resistance below a certain temperature. In this case, Ohm's Law doesn't apply because the resistance is effectively zero (in the ideal case), and current can flow without any voltage drop.

6. Very High Currents

   - At very high currents, electromagnetic effects (like self-inductance or magnetic fields around the conductor) can alter how current and voltage behave, and this can lead to deviations from Ohm's Law.

Summary:

Ohm's Law works well for simple, linear, and steady-state conditions with metallic conductors under normal temperatures. However, in complex situations (like with semiconductors, high currents, or temperature effects), the relationship between current and voltage can deviate from Ohm's Law.

Does that make sense? Let me know if you want more detail on any of these cases!
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