From your work, you seem to have more information than was shown on the problem statement. Where did that all come from?Baydith said:
Biot-Savart's Law is a fundamental law in physics that describes the relationship between an electric current and the magnetic field it creates. It states that the magnetic field intensity at a point in space is directly proportional to the current flowing through a conductor and inversely proportional to the distance from the point to the conductor.
To calculate the magnetic field intensity at a point in space using Biot-Savart's Law, you will need to know the magnitude and direction of the current, the distance from the point to the conductor, and the orientation of the conductor relative to the point. Once you have these values, you can use the formula B = (μ0/4π) * (I * dl x r)/r^3, where μ0 is the permeability of free space, I is the current, dl is a small segment of the conductor, and r is the distance from the point to the segment of the conductor.
The units of magnetic field intensity are tesla (T) or gauss (G). Tesla is the SI unit, while gauss is a cgs unit. 1 T = 10,000 G.
Yes, Biot-Savart's Law can be applied to all types of conductors, as long as the current is flowing through them. This includes straight wires, loops, coils, and more complex shapes.
There are a few limitations and assumptions when using Biot-Savart's Law. It assumes that the current is steady and that the conductor is infinitely long and thin. It also assumes that the magnetic field is uniform and that the distance between the point and the conductor is much larger than the size of the conductor. Additionally, Biot-Savart's Law does not take into account any effects from other nearby conductors or external magnetic fields.
