Magnetic Effects of Current

Two identical long conducting wires $AOB$ and $COD$ are placed at right angle to each other, with one above other such that ' $O$ ' is their common point for the two. The wires carry $I_{1}$ and $I_{2}$ currents,…

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole $\vec{m}.$ Which configuration has highest net magnetic dipole moment?

An electron with kinetic energy $K_{1}$ enters between parallel plates of a capacitor at an angle $\alpha\,$ with the plates. It leaves the plates at angle $\beta\,$ with kinetic energy $K_{2}.$Then the ratio of kinetic…

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 conductor lies along the z-axis at $-\text{1.5}\leq\,\text{z}$

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…

A wire carrying current $I$ is tied between points $P$ and $Q$ and is in the shape of a circular arc of radius $R$ due to a uniform magnetic field $B$ (perpendicular to the plane of the paper, as shown in the figure) in…

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 long parallel conductors $S_{1}$and $S_{2}$ are separated by a distance $10\mathrm{cm}$ and carrying currents of $4A$ and $2A$ respectively. The conductors are placed along $x$-axis in $X-Y$ plane. There is a point…

The magnitude of magnetic induction at mid-point $O$ due to current arrangement as shown in figurewill be ?

As shown in the figure, a long straight conductor with semicircular arc of radius $\frac{\pi\,}{10}m$is carrying current $I=3A$. The magnitude of the magnetic field. at the center $O$ of the arc is: (The permeability of…

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…