1.

A straight wire of length pi//2 m is bent into a circular shape. O is the centre of the circle formed and P is a point on its axis which is at a distance of 3 times the radius from O. A current of 1 A is passed throught it. Calculate the magnitude of the magnetic field at the point O and P .

Answer»

Solution :CIRCUMFERENCE
`C=pi/2 m rArr 2pi r = pi/2 rArr r = 1/4 m = 0.25 m`
`i=1A, n=1`
`B=(mu_(0))/(4pi) (2 pi n ir^(2))/((r^(2)+x^(2))^(3//2))`
At O, `x=0`
`B=2.5xx10^(-6)T`
At, `P, x=3r = 3/4 m = 0.75m`
`B=0.079 XX 10^(-6)T`


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