The area of the coil in a moving coil galvanometer is 16 `cm^(2)` and has 20 turns. The magnetic induction is 0.2T and the couple per unit twist of the suspended wire is `10^(-6)` Nm per degree. If the deflection is 45° calculate the current passing through it.

Explanation

To solve the problem, we will use the formula that relates the couple per unit twist, the magnetic field, the area of the coil, the number of turns, and the current flowing through the coil.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Area of the coil, \( A = 16 \, \text{cm}^2 = 16 \times 10^{-4} \, \text{m}^2 \) (conversion from cm² to m²)
- Number of turns, \( n = 20 \)
- Magnetic induction, \( B = 0.2 \, \text{T} \)
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