Show that displacement current is equal to conduction during charging of a capacitor.

Explanation

To show that the displacement current is equal to the conduction current during the charging of a capacitor, we will follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have a capacitor connected to a battery, which is charging the capacitor. The capacitor consists of two plates separated by a distance, and we need to analyze the currents involved during the charging process.

2. **Defining Conduction Current**:
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