A piece of semiconductors is connected in sereis in an electric circuit. On increasing the temperautre, the current in the circuit will

Options

A. decrease
B. remain uncharged
C. increase
D. stop flowing

Answer

To solve the question regarding the behavior of current in a semiconductor when the temperature is increased, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Semiconductors**:
- Semiconductors have a unique property where their conductivity can change with temperature. At low temperatures, they behave more like insulators, while at higher temperatures, they can conduct electricity better.

2. **Effect of Temperature on Resistivity**:
- As the temperature of a semiconductor increases, its resistivity decreases. This is because more charge carriers (electrons and holes) are generated as the temperature rises, allowing for better conduction.

3. **Relationship Between Resistance and Resistivity**:
- The resistance (R) of a material is related to its resistivity (ρ) by the formula:
\[ R = \frac{\rho L}{A} \]
where L is the length of the semiconductor and A is its cross-sectional area. Since resistivity decreases with temperature, the overall resistance of the semiconductor also decreases.

4. **Applying Ohm's Law**:
- According to Ohm's Law, the current (I) flowing through a circuit is given by:
\[ I = \frac{V}{R} \]
where V is the voltage across the semiconductor. Since we have established that resistance (R) decreases with increasing temperature, we can infer that the current (I) will increase as a result.

5. **Conclusion**:
- Therefore, when the temperature of the semiconductor is increased, the current in the circuit will increase.

### Final Answer:
The current in the circuit will **increase** when the temperature of the semiconductor is increased.