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Using Ampere’s circuital law, obtain an expression for magnetic field ‘B’ at a point ‘P’ which is…

Physics20253 marksDerivation
Using Ampere’s circuital law, obtain an expression for magnetic field ‘B’ at a point ‘P’ which is at a perpendicular distance ‘$r$’ from an infinitely long straight conductor, carrying a current ‘$I$’.

Given: Ampere’s circuital law $\oint \vec{B} \cdot d\vec{l} = \mu_0 I$

To show: Expression for magnetic field $B = \frac{\mu_0 I}{2\pi r}$

Answer

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Moving charges and magnetism

From ISC 2025 Improvement Physics Paper 1, question 12(i).