Magnetic Effects of Current

Match List I with List II List - I (Current configuration) List - II (Magnetic field at point $O$) A I. $B_{0}=\frac{\mu\,_{0}I}{4\pi\,r}[\pi\,+2]$ B II. $B_{0}=\frac{\mu\,_{0}}{4}\frac{I}{r}$ C III.…

A uniform magnetic field of$2\times\,10^{-3}T$acts alongpositive Y-direction. A rectangular loop of sides $20\mathrm{cm}$ and $10\mathrm{cm}$ with current of $5A$ isin Y-Z plane. The current is in anticlockwise sense…

Find the magnetic field at point $P$ due to a straight line segment $AB$ of length $6cm$ carrying a current of $5A.$ (See figure) $\left(\mu\,_{0}=4\pi\,\times\,10^{-7}\mathrm{NA}^{-2}\right)$

A massless square loop, of wire of resistance $10\Omega\,$,supporting a mass of $1g$,hangs vertically with one of its sides in a uniform magnetic field of $10^{3}G$, directed outwards in the shaded region. A dcvoltage…

Two parallel long current carrying wire separated by a distance $2 r$ are shown in the figure. The ratio of magnetic field at $A$ to the magnetic field produced at $C$ is $\frac{x}{7}$. The value of $x$ is _____

Two coaxial solenoids of different radii carry current $I$ in the same direction. Let $\vec{F_{1}}$ be the magnetic force on the inner solenoid due to the outer one and $\vec{F_{2}}$ be the magnetic force on the outer…

A charge particle of $2\mathrm{\mu C}$ accelerated by a potential difference of $100V$ enters a region of uniform magnetic field of magnitude $4\mathrm{mT}$ at right angle to the direction of field. The charge particle…

The magnetic field existing in a region is given by $\vec{B}=0.2(1+2 x) \hat{k} \mathrm{~T}$. A square loop of edge $50 \mathrm{~cm}$ carrying 0.5 A current is placed in $x-y$ plane with its edges parallel to the $x-y$…

Two circular coils $P$ and $Q$ of $100$ turns each have same radius of $\pi\,\mathrm{cm}$. The currents in $P$ and $R$ are $1A$ and $2A$ respectively. $P$ and $Q$ are placed with their planes mutually perpendicular with…

A charged particle going around in a circle can be considered to be a current loop. A particle of a mass$m$carrying charge$q$is moving in a plane with speed$v$under the influence of magnetic field$\vec{B}$. The magnetic…

An insulating thin rod of length $l$ has a linear charge density $\rho\,\left(x\right)=\rho\,_{0}\frac{x}{l}$ on it. The rod is rotated about an axis passing through the origin $\left(x=0\right)$ and perpendicular to…

Two magnetic dipoles $X$ and $Y$ are placed at a separation $d$ , with their axes perpendicular to each other. The dipole moment of $Y$ is twice that of $X$ . A particle of charge $q$ is passing through their mid-point…