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A semi-circular arc of radius 20 cm carries a current of 10 A. Calculate the magnitude of magnetic field at the centre of the arc.

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The magnetic field due to a semi-circular arc of radius ‘r’ carrying current (I) at centre is given by

The net magnetic field due to whole length of are I will be

For semi-circular are Σ ∆I = πr

Given I = 10 A, r = 20m = 0.20m

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