Two identical metal plates each having surface area A, having charges `q_1 and q_2`, are placed facing each other at a separation d. Find the charge appearing on
surface (1),(2),(3), and (4). Assume the size of the plate is much larger than the separation between the plates.

Explanation

To solve the problem of finding the charge on the surfaces of two identical metal plates with charges \( q_1 \) and \( q_2 \) facing each other, we can follow these steps:

### Step 1: Understand the Configuration
We have two parallel metal plates, each with a surface area \( A \). The first plate has a charge \( q_1 \) and the second plate has a charge \( q_2 \). The plates are separated by a distance \( d \).

### Step 2: Identify the Surfaces
Label the surfaces of the plates as follows:
- Surface 1 (of Plate 1): \( q_1 - x \)
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