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Question

Physics Question on Magnetic Field Due To A Current Element, Biot-Savart Law

For the magnetic field to be maximum due to a small element of current carrying conductor at a point, the angle between the element and the line joining the element to the given point must be

A

00^\circ

B

9090^\circ

C

180180^\circ

D

4545^\circ

Answer

9090^\circ

Explanation

Solution

The magnetic field due to small element conductor of length is given by
dB=μ04πidlsinθr2dB= \frac{μ_0}{4π}\frac{idl sinθ}{r^2}
This value will be maximum when
sin θ=1=sin 90sin\ θ=1=sin\ 90\degree
θ=90θ=90\degree

So, the correct answer is (B): 90^{\circ}