Biot-Savart law indicates that the moving electrons (velocity v) produce a magnetic field B such that(a) B is perpendicular of(b) B is parallel to v(c) it obeys inverse cube law(d) it is along the line joining the electron and point of observations.
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(a) is the correct answer...
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Answer:
(a) B is perpendicular
Explanation:
In the Biot-Savart's law, the magnetic field B|| idl × r and idl due to flow of electron is in opposite direction of v and by the direction of cross product of two vectors, B ^ v. Thus -
B→ = μ0/4π.q(v→×v)r³
= μ0/4π.qvsinθ/r²
where μ0/4π is proportionality constant, r is the magnitude of position vector from the charge to the point at which magnetic field is to be found and θ is the angle between v→ and r→. This indicates that the direction of B→ is along v→×r→ this depicts that it is perpendicular to the plane containing v→ and r→
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