The current is in the east-west direction. Applying the right-hand thumb rule, we get that the direction of magnetic field at a point below the wire is from north to south. The direction of magnetic field at a point directly above the wire is from south to north.

Direction of Current in a Wire

To determine the direction of the magnetic field below a wire, we first need to understand the direction of the current flowing through the wire. The direction of the current can be determined using the Right-Hand Rule or by applying Ampere's Circuital Law.

Right-Hand Rule:
The Right-Hand Rule is a simple technique used to determine the direction of the current in the wire. Follow the steps below to apply the rule:

1. Thumb: Point your right thumb in the direction of the current flow (from west to east in this case).

2. Fingers: Curl your fingers around the wire, perpendicular to the direction of the current flow. The direction in which your fingers curl represents the direction of the magnetic field lines.

3. Palm: The direction in which the palm of your right hand faces represents the direction of the magnetic field created by the current.

So, using the Right-Hand Rule, we can determine that the magnetic field below the wire will be oriented in a north to south direction.

Ampere's Circuital Law:
Ampere's Circuital Law states that the magnetic field created by a current-carrying wire is directly proportional to the current and inversely proportional to the distance from the wire. Mathematically, it can be represented as:

B = (µ₀ * I) / (2π * r)

Where:
B is the magnetic field strength
µ₀ is the permeability of free space (constant)
I is the current flowing through the wire
r is the distance from the wire

By applying Ampere's Circuital Law, we can calculate the magnetic field strength at any point below the wire.

Conclusion:
Using the Right-Hand Rule, we can determine the direction of the magnetic field below a wire when the direction of the current is known. In this case, the magnetic field will be oriented in a north to south direction. Additionally, Ampere's Circuital Law can be used to calculate the magnetic field strength at any point below the wire.