Step 1: Tangent galvanometer principle
In a tangent galvanometer, the deflection is related to current by:
\( B = B_H \tan\theta \)
The magnetic field produced by the coil is proportional to current:
\( B \propto I \)
Thus,
\( I = k \tan\theta \)
where \(k\) is the galvanometer constant.
Step 2: Required data
To calculate current numerically, values of \(B_H\) or calibration constant \(k\) are required along with \(\theta\).
Step 3: Conclusion
Since the required constants are not properly provided, the value \(I = 3A\) cannot be uniquely determined from the given relation.