Displacement current is produced between the plates of a capacitor when potential difference between the plates

Options

A. is maximum
B. is minimum
C. is zero
D. is changing with time

Explanation

To solve the question regarding the displacement current produced between the plates of a capacitor when the potential difference between the plates is varied, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Displacement Current**: Displacement current is a concept introduced by James Clerk Maxwell, which accounts for the changing electric field in regions where there is no physical current flowing, such as between the plates of a capacitor.

2. **Capacitor Setup**: Consider a parallel plate capacitor connected to a circuit. When a potential difference (voltage) is applied across the plates, an electric field is established between them.

3. **Effect of Constant Potential Difference**:
- If the potential difference between the plates is constant (either maximum or minimum), the electric field between the plates remains constant as well.
- According to Maxwell's equations, if the electric field is constant, there is no change in the electric field with respect to time, which means there will be no displacement current.

4. **Effect of Zero Potential Difference**:
- If the potential difference is zero, there is no electric field established between the plates. Thus, there is no displacement current in this case either.

5. **Changing Potential Difference**:
- If the potential difference is changing with time, the electric field between the plates will also change.
- A changing electric field induces a displacement current, according to Maxwell's addition to Ampere's law. This means that when the potential difference varies, the displacement current is produced.

6. **Conclusion**: Therefore, the displacement current is produced between the plates of a capacitor when the potential difference between the plates is changing with time.

### Final Answer:
Displacement current is produced when the potential difference between the plates is changing with time.

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