Question

An alternative form of Biot-Savart's law is

• A. Gauss's law
• B. Ohm's law
• C. Coulomb's law
• D. Ampere's circuital law
• E. Joule's law

Hint:

Ampere's circuital law is an integral form of the Biot-Savart law, and it is often used to calculate the magnetic field produced by a current distribution.

Answer 1

The Correct Option is D

Biot-Savart's law relates the magnetic field produced by a current-carrying wire. Ampere's circuital law is an alternative form of the Biot-Savart law, and it provides a relationship between the magnetic field and the electric current in a circuit. 
The integral form of Ampere's law is: \[ \oint \vec{B} \cdot d\vec{l} = \mu_0 I_{{enc}} \] where:
- \( \vec{B} \) is the magnetic field,
- \( d\vec{l} \) is the differential length element of the closed loop,
- \( I_{{enc}} \) is the enclosed current,
- \( \mu_0 \) is the permeability of free space. 
Hence, the correct answer is (D).