Question
A current element is placed at origin. At point
P(1 mm,1 mm), the magnetic field due to this element is:Solution
According to the Biot-Savart law, the magnetic field due to a current element Idl at a position r is given by: B = (μ₀/4π) × (Idl × r̂)/r² Where:
- Idl is the current element vector (assumed to be along some direction from the origin)
- r is the position vector from the current element to point P
- r̂ is the unit vector along r
- × represents the cross product
- The position vector r points from the origin to P
- The cross product Idl × r̂ produces a vector perpendicular to both the current element and the radius vector
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