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Questions  

A square conducting loop of side length L carries a current I. The magnetic field at the center of the loop is

a
independent of L
b
proportional to L
c
inversely proportional to L
d
linearly proportional to L

detailed solution

Correct option is C

Magnetic field at the centre due to either armB1=μ04π×IL/2[sin45∘+sin45∘]μ04π×22lLField at centre due to the four arms of the squareB=4B1=4×μ04π×22lLi.e.,B ∝ 1/L

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