Question 6-8 of 13: Biot - Savart Law (Magnetic Effects of Current and Magnetism) | MHT-CET (Maharashtra Common Entrance Test) Physics | Includes PYQs | Get Solutions with Detailed Explanations

The straight long conductors AOB and COD are perpendicular to each other and carry current ${\displaystyle i_1}$ and ${\displaystyle i_2}$ . The magnitude of the magnetic induction at point P at a distance ‘a’ from the point O in a direction perpendicular to the plane ACBD is

Given below are two statements

Statement I: Biot-Savart՚s law gives us the expression for the magnetic field strength of an infinitesimal current element (Idl) of a current carrying conductor only.

Statement II: Biot-Savart՚s law is analogous to Coulomb՚s inverse square law of charge q, with the former being related to the field produce by a scalar source, Idl while the latter being produced by a vector source, q.

Two coplanar concentric circular coils of radii ${\displaystyle r\text{and}2r}$ , have the same number of turns ${\displaystyle n}$ . The smaller coil carries a clockwise current ${\displaystyle i}$ , while the larger coil carries an anticlockwise current ${\displaystyle 2i}$ . The magnetic field induction at the centre is