The biot-savart law state that magnitude of magnetic field
at a point due to current distribution is directly proportional to amount of
current  and effective length of
conductor and inversely proportional to square of distance between current
distribution and point.
Explanation of magnetic field of current due to Biot- Savart
Law
Consider a small section  
dL of a wire carrying current 
i. Let
P be the observation point
at distance 
R from the 
 centre of element  
dL. The position vector of 
P subtends an angle 
θ with the direction of flow of current in element 
dL as shown in fig.
 
I f 
 dB is the 
magnetic field intensity at
point due to this small element 
dL
it has been observed that
Vector form of Biot- Savart Law
 
 
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