A parallel- plate capacitor with plate area A and separation between the plates d, is charged by a constant current i. Consider a plane surface of area A/2 parallel to the plates and drawn summetrically between the plates. Find the displacement current through this area.

Explanation

To solve the problem of finding the displacement current through a plane surface of area \( A/2 \) that is parallel to the plates of a parallel-plate capacitor, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Setup**:
We have a parallel-plate capacitor with plate area \( A \) and separation \( d \). A constant current \( i \) is charging the capacitor. We need to analyze a plane surface of area \( A/2 \) that is symmetrically located between the plates.

2. **Determine the Charge on the Capacitor**:
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