Step 1: Understand current flow in a superconductor.
In a superconducting wire, due to the Meissner effect, magnetic field is expelled from the interior and the current tends to flow mainly near the surface within a penetration depth.
Step 2: Check each statement.
(A) Transport current flows through its surface \(\Rightarrow\) Correct, because superconducting current is concentrated near the surface.
(B) Transport current flows through entire cross-section \(\Rightarrow\) Incorrect, because supercurrent is not uniformly distributed in the whole bulk.
(C) Zero resistivity and expels magnetic field \(\Rightarrow\) Correct (defining properties).
(D) Used to produce large magnetic field \(\Rightarrow\) Correct (used in MRI, magnets, etc.).
Step 3: Final conclusion.
Thus, the incorrect statement is (B).
Final Answer:
\[
\boxed{\text{(B) transport current flows through the entire area of cross-section of the wire}}
\]