State and prove it ampere's circuital law
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in this circle
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Ampere’s circuital law states that line integral of magnetic field forming a closed loop around the current(i) carrying wire, in the plane normal to the current, is equal to the μo times the net current passing through the close loop.
THE FORMULA IS → ∫B.dl = μoi
To prove: ∫B.dl = μoi
Starting from the left hand side:
∫B.dl1 = ∫μoi/(2πr1) × dl1
We know that: dθ1 = dl1/r1
∴∫μoi/(2πr1) × dl1 =μoi/(2π)∫dθ1 = μoi
∴ ∫B.dl = μoi
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