Introduction:
When a current flows through a straight wire, it creates a magnetic field around it. The direction of the magnetic field depends on the direction of the current. In this scenario, the wire carries a current vertically upwards. We need to determine the magnetic field at point P, which lies to the east of the wire at a small distance, and another point Q, which lies to the west at the same distance.

Magnetic Field at Point P:
Since point P lies to the east of the wire, we need to determine the direction of the magnetic field at this point. According to the right-hand rule, if we place our right hand with the thumb pointing in the direction of the current (vertically upwards), the fingers will curl in the direction of the magnetic field. Therefore, the magnetic field at point P will be directed in a circular manner around the wire, with the magnetic field lines forming concentric circles.

Magnetic Field at Point Q:
Similarly, since point Q lies to the west of the wire, we need to determine the direction of the magnetic field at this point. Again, using the right-hand rule, if we place our right hand with the thumb pointing in the direction of the current (vertically upwards), the fingers will curl in the opposite direction of the magnetic field. Therefore, the magnetic field at point Q will also be directed in a circular manner around the wire, with the magnetic field lines forming concentric circles.

Comparing the Magnetic Fields:
Both point P and point Q are equidistant from the wire, and the current is flowing vertically upwards. Hence, the magnitude of the magnetic field at both points will be the same. However, the direction of the magnetic field will be different. At point P, the magnetic field lines will be directed clockwise, while at point Q, the magnetic field lines will be directed counterclockwise.

Conclusion:
In summary, when a straight wire carries a current vertically upwards, the magnetic field at a point to the east of the wire (such as point P) will be directed in a clockwise manner, while at a point to the west of the wire (such as point Q), the magnetic field will be directed counterclockwise. The magnitude of the magnetic field at both points will be the same.