Infinity Wire carrying current i
- The wire is passing through the origin along the direction i^j^k^.

Finding Magnetic Field at point (1,0,0)
- To find the magnetic field at point (1,0,0) due to the wire carrying current i, we can use the Biot-Savart law.
- The Biot-Savart law states that the magnetic field at a point due to a current-carrying wire is directly proportional to the current, length of the wire, and sinθ (where θ is the angle between the position vector from the wire element to the point and the current element).
- The magnetic field at point (1,0,0) due to the wire carrying current i can be calculated by integrating the contribution of magnetic field from each infinitesimal length of the wire.
- Since the wire is along the direction i^j^k^ passing through the origin, the position vector from the wire to the point (1,0,0) is (1,0,0).
- The angle between the position vector and the current element is 90 degrees.
- Therefore, sinθ = sin(90) = 1.
- The magnitude of the magnetic field at point (1,0,0) due to the wire carrying current i can be calculated using the formula: B = (μ0 * i) / (2πr), where r is the distance between the wire and the point.
- Plugging in the values, we get B = (μ0 * i) / (2π * 1) = (μ0 * i) / (2π).
- So, the magnetic field at point (1,0,0) due to the wire carrying current i is (μ0 * i) / (2π), directed perpendicular to the wire and in the plane containing the wire and the point.