Questions
A portion of a conductive wire is bent in the form of a semicircle of radius r as shown below in fig. At the centre of semicircle, the magnetic induction will be
a
zero
b
infinite
c
μ04π⋅πirgauss
d
μ04π⋅πir tesla
detailed solution
Correct option is D
The straight part will not contribute magnetic field at the centre of the semicircle because every element of the straight part will be 0° or 180°with the line joining the centre and the element. Due to circular portion, the field is12μ0i2r=μ0i4rHence total field at O =μ0i4r teslaTalk to our academic expert!
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