Step 1: Use the tangent galvanometer formula.
The formula for the current in a tangent galvanometer is:
\[
I = \frac{B}{r} \cdot \tan(\theta)
\]
Where:
- \( B \) is the magnetic field,
- \( r \) is the radius of the coil,
- \( \theta \) is the deflection angle.
Step 2: Conclusion.
By applying the given conditions, we calculate the value of \( I \) to be 3A.