A uniform magnetic field $\vec B = \left( {3\hat i + 4\hat j + \hat k} \right)$ exists in region of space. A semicircular wire of radius $1\,m$ carrying current $1\,A$ having its centre at $(2, 2, 0)$ is placed in $x-y$ plane as shown in figure. The force on semicircular wire will be
Diffcult
Download our app for free and get started
$F = i\left( {\vec l \times \vec B} \right)$ where $\vec l = \sqrt 2 \left( {\hat i + \hat j} \right)$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
The electric current in a circular coil of four turns produces a magnetic induction $32\,T$ at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be $..........\,T$
As shown in the figure, the uniform magnetic field between the two identical plates is $B$. There is a hole in plate. If through this hole a particle of charge $q$, mass $m$ and energy $E$ enters this magnetic field, then the particle will not collide with the upper plate provided
If two protons are moving with speed $v=4.5 \times 10^{5} \,m / s$ parallel to each other then the ratio of electrostatic and magnetic force between them
A conducting wire bent in the form of a parabola $y^2 = 2x$ carries a current $i = 2 A$ as shown in figure. This wire is placed in a uniform magnetic field $\vec B = - 4\,\hat k$ $Tesla$. The magnetic force on the wire is (in newton)
A thin circular disk of radius $R$ is uniformly charged with density $\sigma>0$ per unit area. The disk rotates about its axis with a uniform angular speed $\omega$. The magnetic moment of die disk is
Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is $5.0 \mathrm{~cm}$. The magnitude of the magnetic field at a point $P$ midway between the wires is __________$\mu \mathrm{T}$ (Given : $\mu_0=4 \pi \times 10^{-7} \mathrm{TmA}^{-1}$ )
At $t$ = $0$, a positively charged particle of mass $m$ is projected from the origin with velocity $u_0$ at an angle $37^o $ from the $x-$axis as shown in the figure. A constant magnetic field ${\vec B_0} = {B_0}\hat j$ is present in space. After a time interval $t_0$ velocity of particle may be:-
The earth's magnetic induction at a certain point is $7 \times {10^{ - 5}}\,Wb/{m^2}.$ This is to be annulled by the magnetic induction at the centre of a circular conducting loop of radius $5 \,cm$. The required current in the loop is......$A$