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).
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
A current-carrying long solenoid is formed by winding 200 turns per cm. If the number of turns per cm is increased to 201, keeping the current constant, then the magnetic field inside the solenoid will change by:
Kepler's second law (law of areas) of planetary motion leads to law of conservation of