A diode is considered non-ohmic in a circuit due to its non-linear current-voltage (I-V) relationship. Unlike ohmic (or linear) components, such as resistors, which obey Ohm’s Law (I = V/R) with a constant resistance, a diode exhibits a highly non-linear behavior, and its current-voltage characteristics are described by the Shockley diode equation.

## 1. **Ohmic Behavior vs. Non-Ohmic Behavior:**

**Ohmic Components:**- Ohmic components, like resistors, follow Ohm’s Law consistently, meaning the current through the component is directly proportional to the applied voltage, and the resistance remains constant.

**Non-Ohmic Behavior:**- Non-ohmic components, including diodes, do not exhibit a constant resistance. Instead, their behavior is influenced by exponential or non-linear relationships between current and voltage.

## 2. **Shockley Diode Equation:**

**Exponential Relationship:**- The Shockley diode equation describes the I-V relationship in a diode. It is given by: �=��⋅(�����−1)I=Is⋅(enVtV−1)
- Where:
- �I is the diode current,
- ��Is is the saturation current,
- �V is the voltage across the diode,
- �n is the ideality factor,
- ��Vt is the thermal voltage (�⋅��qk⋅T, where �k is Boltzmann’s constant, �T is temperature in Kelvin, and �q is the charge of an electron).

**Exponential Increase:**- The exponential term in the equation results in a rapid increase in current as the voltage across the diode increases. This is significantly different from the linear relationship observed in ohmic components.

**Threshold Voltage:**- The diode requires a certain threshold voltage (around 0.7 volts for a silicon diode) to start conducting, and beyond this point, the current increases exponentially.

## 3. **Forward Bias vs. Reverse Bias:**

**Forward Bias:**- In forward bias, where the voltage applied is positive across the diode, the diode conducts, and the current increases exponentially with voltage.

**Reverse Bias:**- In reverse bias, where the voltage applied is negative across the diode, the diode has a very low leakage current until a certain breakdown voltage is reached, causing a rapid increase in current.

## 4. **Applications of Non-Ohmic Behavior:**

**Rectification:**- The non-linear behavior of diodes is harnessed in rectification circuits, where alternating current (AC) is converted to direct current (DC).

**Clipping and Clamping:**- Diodes are used for clipping and clamping signals in electronic circuits, taking advantage of their non-linear characteristics.

**Switching:**- Diodes are used in electronic switches and digital circuits, exploiting their ability to quickly transition from a non-conducting to a conducting state.

## 5. **Temperature Dependence:**

**Thermal Effects:**- The behavior of a diode is sensitive to temperature changes due to the thermal voltage term in the Shockley equation. Temperature variations can affect the diode’s characteristics.

## 6. **Conclusion:**

**Non-Ohmic Nature’s Utility:**- While the non-ohmic nature of a diode might make it unsuitable for certain linear applications, it is precisely this non-linear behavior that enables diodes to play essential roles in rectification, signal processing, and switching applications within electronic circuits.

In summary, a diode is non-ohmic due to its non-linear I-V relationship described by the Shockley diode equation. This behavior is crucial for its various applications in electronics, allowing it to serve purposes such as rectification, signal clipping, and switching.