Ampere’s circuital law in magnetism is analogous to which law in elec…

The correct answer is Option (3) → Gauss’s law

Option (1) Coulomb’s law — Incorrect. Coulomb’s law gives the force or field of a point charge directly. Its magnetic counterpart is the Biot-Savart law for the field of a current element.

Option (2) Kirchhoff’s rules — Incorrect. Kirchhoff’s rules relate currents and potential differences in an electric circuit. They do not connect a field to its source.

Option (3) Gauss’s law — Correct. Ampere’s law relates \( \oint\vec{B}\cdot d\vec{l} \) around a closed loop to the current enclosed. In the same way, Gauss’s law relates the flux of \( \vec{E} \) through a closed surface to the charge enclosed. Both connect a field on a boundary to the source inside it. Both also give the field easily in symmetric cases.

NCERT (2026-27):
Ampere’s Circuital Law – “… Ampere’s law is to Biot-Savart law, what Gauss’s law is to Coulomb’s law. Both, Ampere’s and Gauss’s law relate a physical quantity on the periphery or boundary (magnetic or electric field) to another physical quantity, namely, the source, in the interior (current or charge).”