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 (IdI) 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 produced by a scalar source, Idl while the latter being produced by a vector source, $q$. In light of above statements choose the most appropriate answer from the options given below:
Both Statement $I$ and Statement $II$ are incorrect
Statement $I$ is correct and Statement $II$ is incorrect
Statement $I$ is incorrect and Statement $II$ is correct
Both Statement $I$ and Statement $II$ are correct
Three rings, each having equal radius $R,$ are placed mutually perpendicular to each other and each having its centre at the origin of co-ordinate system. If current $I$ is flowing thriugh each ring then the magnitude of the magnetic field at the common centre is
A coil having $N$ $turns$ is wound tightly in the form of a spiral with inner and outer radii $a$ and $b$ respectively. When a current $I$ passes through the coil, the magnetic field at the centre is
Write formula for magnetic field due to a circular current carrying loop having $\mathrm{N}$ turns and $\mathrm{R}$ radius at a point on the axis of the loop.
An element $\Delta l=\Delta x \hat{ i }$ is placed at the origin and carries a large current $I=10\; A$ (Figure). What is the magnetic field on the $y$ -axis at a distance of $0.5 \;m . \Delta x=1\; cm$
The magnetic field at the origin due to the current flowing in the wire is -