Final answer:
To find the magnetic field at point A(2,3.0) caused by the current in the positive y-axis, we can apply the Biot-Savart Law. The magnetic field can be calculated using the formula B = (µ₀ * I) / (2πr), where B is the magnetic field, µ₀ is the permeability of free space, I is the current, and r is the distance from the wire to the point.
Step-by-step explanation:
To find the magnetic field at point A(2,3.0) caused by the current in the positive y-axis, we can apply 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 magnitude of the current and inversely proportional to the distance from the wire.
Given that the current in the positive y-axis is 2 A, we can find the magnetic field at point A by using the formula:
B = (µ₀ * I) / (2πr)
where B is the magnetic field, µ₀ is the permeability of free space, I is the current, and r is the distance from the wire to the point.
Plugging in the values, we get:
B = (4π * 10^-7 Tm/A) * 2 A / (2π * 3.0)
B = (4π * 10^-7 Tm) / 3.0
B ≈ 4.19 * 10^-7 Tm