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Question
State Biot Savart law.
Solution
The magnetic induction, according to Biot Savart law, at a point P at a distance r due to current element Idl is given by
`"d"vec"B" = μ_0/(4π) . ("I"dl sin "θ")/r^2` inward as shown
In the vector form, it can be written as
`vec"dB" = (μ_0 "I")/(4π) . ( bar(dl) xx hatr )/r^2` , θ is the angle `bar(dl)` vector and `hatr` is the position vector of the point P.
Clearly, dB ∝ I
∝ dl
∝ `l/r^2`
∝ sin θ
μ0 is the absolute permeability of free space.
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