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State Ampere's circuital law . Using it,...

State Ampere's circuital law . Using it, derive the expression for magnetic field at a point due to a long current carrying conductor .

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Ampere.s circuital law: The integral of the product of magnetic field and length element is equal to Ho times the total current passing through the surface.
`oint vecB.vec(dl)=mu_0I`.

Consider a point at distance .r. from a straight infinite current carrying wire .
From Ampere.s circuital law `oint vecB.vec(dl)=B. 2pir=mu_0 I. `
`B=(mu_0I)/(2pir)`
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