Two identical wires … and … each of length …, carry the same current …. Wire … is bent into a circle of radius … and wire … is bent to form a square of side …. If … and … are the values of magnetic fields at the centres of the circle and square respectively, then the ratio … is:

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Magnetics

JEE Main 2016 · Session, Shift 1 · Q7673

PhysicsHard116×since 2002Q7673

Two identical wires

A

and

B,

each of length

'l'

, carry the same current

I

. Wire

A

is bent into a circle of radius

R

and wire

B

is bent to form a square of side

'a'

. If

{B_A}

and

{B_B}

are the values of magnetic fields at the centres of the circle and square respectively, then the ratio

{{{B_A}} \over {{B_B}}}

is: