Let's break down the statements:
- (1) The direction of magnetic field due to a current element is given by Fleming's Left Hand Rule:
Fleming's Left Hand Rule is used to find the direction of force on a current-carrying conductor in a magnetic field, not for the direction of the magnetic field due to a current element. The correct rule for this is the Right-Hand Rule.
- (2) The magnetic field inside a solenoid is non-uniform:
This is incorrect. The magnetic field inside an ideal solenoid is uniform and directed along its axis. Outside the solenoid, the magnetic field is non-uniform.
- (3) A current carrying conductor produces an electric field around it:
This is not true for steady currents. A steady current produces a magnetic field, not an electric field.
- (4) A straight current carrying conductor has circular magnetic field lines around it:
This is the correct statement. The magnetic field around a current-carrying conductor forms concentric circles centered around the conductor, following the right-hand rule.
Thus, the correct answer is (4).