Step 1: Formula for magnetic flux.
Magnetic flux is given by the formula:
\[
\Phi = N \cdot B \cdot A,
\]
where \(N\) is the number of turns, \(B\) is the magnetic field strength, and \(A\) is the area of the coil.
Step 2: Substituting the values.
Given \(N = 100\), \(B = 1 \, \text{T}\), and \(A = 1 \, \text{m}^2\), we calculate:
\[
\Phi = 100 \cdot 1 \cdot 1 = 100 \, \text{Wb}.
\]
Step 3: Conclusion.
The magnetic flux linked with the coil is 100 Wb, corresponding to option (3).