A parallel - plate capacitor is being charged.Show that the displacement current across an area in the region between the plates and parallel to it is equal to the conduction current in the connecting wires.

Explanation

To show that the displacement current across an area in the region between the plates of a parallel-plate capacitor is equal to the conduction current in the connecting wires, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- Consider a parallel-plate capacitor with two plates. Let the area of each plate be \( A \) and the separation between the plates be \( d \). As the capacitor is being charged, a charge \( Q \) accumulates on the positive plate.

2. **Electric Field Between the Plates**:
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