Step 1: Recall the right hand thumb rule.
The right hand thumb rule states that if we hold a current carrying conductor in the right hand such that the thumb points in the direction of current, then the curled fingers represent the direction of the magnetic field lines.
Step 2: Apply the rule to a circular coil.
For a circular coil, the current flows in a loop. When we curl the fingers in the direction of current, the thumb points perpendicular to the plane of the coil.
Step 3: Interpret the thumb direction.
The thumb gives the direction of the magnetic field inside the loop (along the axis of the coil).
Step 4: Distinguish from other quantities.
The rule does not give direction of current (that is already known), nor does it relate to electric field, induced emf, or force.
Step 5: Connect with physical understanding.
The magnetic field lines around a current carrying coil resemble those of a bar magnet, and the thumb indicates the direction of the field.
Step 6: Match with options.
Thus, the thumb indicates the direction of magnetic field.
Step 7: Final answer.
\[
\boxed{\text{magnetic field}}
\]
which matches option \((1)\).