The charging current for a capacitor is `0.25 A`. What is the displacement current across its plates?

Answer

To solve the problem of finding the displacement current across the plates of a capacitor when the charging current is given, follow these steps:

### Step-by-Step Solution

1. **Understand the Concept of Displacement Current**:
- Displacement current is a concept introduced by James Clerk Maxwell to account for the changing electric field in the region between the plates of a capacitor when it is charging or discharging. It is denoted as \( I_d \).

2. **Identify the Given Information**:
- The charging current \( I_c \) for the capacitor is given as \( 0.25 \, \text{A} \).

3. **Relate Charging Current to Displacement Current**:
- According to Maxwell's equations, the displacement current \( I_d \) is equal to the charging current \( I_c \) when the capacitor is fully charged. This means:
\[ I_d = I_c \]

4. **Substitute the Given Value**:
- Since the charging current \( I_c \) is \( 0.25 \, \text{A} \), we can substitute this value into the equation:
\[ I_d = 0.25 \, \text{A} \]

5. **Conclusion**:
- Therefore, the displacement current across the plates of the capacitor is:
\[ I_d = 0.25 \, \text{A} \]

### Final Answer:
The displacement current across the plates of the capacitor is \( 0.25 \, \text{A} \).

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