3is dat zero.
A current I flows through a infinitely long metallic conductor of the shape of a half cut hollow cylinder of radius radius r.
What is the magnetic field at the center of the "imaginary completed" cylinder?
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7 Answers
62no sankara
had it been a cyllinder (complete) then your answer would be correct
11See the magnetic field for a straight wire carrying current is
B = μi/2πr
Now we consider
θ is the angle between the vertical and the line joins the conductor to the centre
θr = x
rdθ=dx
I through dx = idx/Ï€r
I = idθ/π
We consider this dx as a st. wire
Therefore
dB = μidθ/2π2r
Now we break to into the co-ordinate system
dBx = μicosθdθ/2π2r
dBy = μisinθdθ/2π2r
Bx = 2μi/2π2r
By = 0
Therefore
B= μi/π2r