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What is the difference between a linear and a non-linear resistor?

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Best answer
The key difference between linear and non-linear resistors lies in how their resistance varies with voltage and current:

1. **Linear Resistors:**
   - **Resistance Characteristics:** The resistance remains constant regardless of the voltage or current applied. This means that the relationship between the voltage across the resistor and the current flowing through it is linear and can be described by Ohm's Law: \( V = IR \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance.
   - **Examples:** Common resistors like carbon film resistors and metal film resistors are typically linear.

2. **Non-Linear Resistors:**
   - **Resistance Characteristics:** The resistance changes with the applied voltage or current. The relationship between voltage and current is not linear and cannot be described by Ohm's Law alone.
   - **Types and Examples:**
     - **Diodes:** The resistance of a diode varies significantly depending on whether it is forward-biased or reverse-biased.
     - **Thermistors:** Their resistance changes significantly with temperature. There are two main types:
       - **NTC (Negative Temperature Coefficient) Thermistors:** Resistance decreases as temperature increases.
       - **PTC (Positive Temperature Coefficient) Thermistors:** Resistance increases as temperature increases.
     - **Varistors:** Their resistance varies with the applied voltage, providing protection against voltage spikes.

In summary, linear resistors have a constant resistance and a linear relationship between voltage and current, while non-linear resistors have variable resistance with non-linear voltage-current characteristics.
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The main difference between a linear and a non-linear resistor lies in how their resistance changes in response to applied voltage. Here's a detailed breakdown:

### Linear Resistor

1. **Ohm’s Law Compliance**: Linear resistors follow Ohm’s Law, which states that the voltage (V) across the resistor is directly proportional to the current (I) flowing through it. This relationship is given by the formula:
   \[
   V = I \times R
   \]
   where \( R \) is the resistance, which remains constant regardless of the voltage or current.

2. **Constant Resistance**: In a linear resistor, resistance (\( R \)) remains constant as the voltage or current changes. This means that if you double the voltage, the current will also double, and vice versa.

3. **Predictable Behavior**: Because of the constant resistance, the behavior of linear resistors is predictable and straightforward. Examples include most carbon film resistors and metal oxide resistors used in everyday electronics.

### Non-Linear Resistor

1. **Non-Ohmic Behavior**: Non-linear resistors do not follow Ohm’s Law. The relationship between voltage and current is not linear, meaning the resistance changes with varying voltage or current. The current through a non-linear resistor is not directly proportional to the voltage.

2. **Variable Resistance**: The resistance of non-linear resistors varies with the applied voltage or current. For example, in a diode, the resistance decreases as the voltage increases beyond a certain threshold. This results in a non-linear I-V (current-voltage) characteristic.

3. **Applications**: Non-linear resistors are often used in specific applications where their non-linear characteristics are useful. For instance:
   - **Diodes**: They allow current to flow in one direction and have a high resistance in the reverse direction.
   - **Thermistors**: These are temperature-dependent resistors. There are two main types:
     - **NTC (Negative Temperature Coefficient)**: Resistance decreases as temperature increases.
     - **PTC (Positive Temperature Coefficient)**: Resistance increases as temperature increases.
   - **Varistors**: Used for over-voltage protection, their resistance decreases as the applied voltage increases.

### Summary

- **Linear Resistors**: Their resistance is constant regardless of voltage or current changes. They follow Ohm's Law and provide predictable behavior.
- **Non-Linear Resistors**: Their resistance changes with varying voltage or current, and they do not follow Ohm’s Law. They are used in specialized applications where their non-linear properties are advantageous.

Understanding these differences is crucial for designing and analyzing electronic circuits, as the choice between linear and non-linear resistors can significantly impact circuit performance and functionality.
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