Magnetic Field from Current Element
Example 4.5: Magnetic Field Calculation
This simulation demonstrates the magnetic field produced by a current element at a point on the y-axis.
x (current element)
y (0.5 m)
z (field direction)
Current (I):
10 A
Element length (Δx):
1 cm
Distance (y):
0.5 m
Magnetic field (dB):
0 T
Biot-Savart Law Calculation
|dB| = (μ₀/4π) × (I dl sinθ)/r²
μ₀/4π = 10⁻⁷ Tm/A, θ = 90°, sinθ = 1
|dB| = (10⁻⁷ × 10 × 10⁻²)/(0.5)²
|dB| = 4 × 10⁻⁸ T (in +z direction)
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Right-Hand Rule
Point thumb in current direction (x), fingers toward point (y), palm faces field direction (+z).
For dl × r = Δx i × y j = yΔx k