A long insulated copper wire is closely wound as a spiral of `N` turns. The spiral has inner radius a and outer radius `b`. The spiral lies in the `xy`-plane and a steady current I flows through the wire. The`z`-component of the magetic field at the centre of the spiral is
A
`(mu_(0)NI)/(2(b -a)) ln((b)/(a))`
B
`(mu_(0)NI)/(2(b -a)) ln((b+a)/(b-a))`
C
`(mu_(0)NI)/(2b) ln((b)/(a))`
D
`(mu_(0)NI)/(2b) ln((b+a)/(b-a))`
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A
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