Moving Charges and Magnetism

Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents '\(\mathrm{I}_1\)' and '\(\mathrm{I}_2\)' respectively in opposite directions. The resultant magnetic field at the midpoint of the distance between ...

An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectories in the field?

Two long conductors, separated by a distance '\(\mathrm{d}\)' carry currents '\(\mathrm{I}_1\)' and '\(\mathrm{I}_2\)' in the same directions. They exert a force '\(\mathrm{F}\)' on each other. Now the current in one of them is increased to...

A current carrying loop is placed in a uniform magnetic field. The torque acting on the loop does not depend upon

A particle of charge 'q' and mass 'm' moves in a circular orbit of radius 'r' with angular speed '\(\omega\)'. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

A solenoid 2 m long and 4 cm in diameter has 4 layers of windings of 1000 turns each and carries a current of 5 A. What is the magnetic field at its centre along the axis? [\(\mu_0=4\pi\times10^{-7}\) Wb/Am]

An electron is projected along the axis of circular conductor carrying current '\(\mathrm{I}\)' The electron will experience

A thin ring of radius '\(R\)' meter has charge '\(q\)' coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of \(f\) revolution/s. The value of magnetic induction in \(\mathrm{Wb} \mathrm{m}^{-2}\) at th...

A long solenoid carrying current \(\mathrm{I}_1\) produces magnetic field \(\mathrm{B}_1\) along its axis. If the current is reduced to \(20 \%\) and number of turns per \(\mathrm{cm}\) are increased five times then new magnetic field B$$_2...

A straight wire of diameter \(0.4 \mathrm{~mm}\) carrying a current of \(2 \mathrm{~A}\) is replaced by another wire of 0.8 \(\mathrm{mm}\) diameter carrying the same current. The magnetic field at distance \((\mathrm{R})\) from both the wi...

An electron in a circular orbit of radius \(0.05 \mathrm{~nm}\) performs \(10^{14}\) revolutions/second. What is the magnetic moment due to the rotation of electron? \((\mathrm{e}=1.6 \times 10^{-19} \mathrm{C})\)

Assuming the atom is in the ground state, the expression for the magnetic field at a point nucleus in hydrogen atom due to circular motion of electron is [\(\mu_0=\) permeability of free space, \(\mathrm{m}=\) mass of electron, $$\epsilon_0...

Two concentric coplanar circular loops of radii '\(r{ }_1\)' and '\(r_2\)' respectively carry currents '\(i_1\)' and '\(\mathrm{i}_2\)' in opposite directions (one clockwise and other anticlockwise). The magnetic induction at the centre of ...

When a battery is connected to the two ends of a diagonal of a square conductor frame of side '\(a\)', the magnitude of magnetic field at the centre will be ( \(\mu_0=\) permeability of free space)

A particle having a charge \(100 \mathrm{e}\) is revolving in a circular path of radius \(0.8 \mathrm{~m}\) with 1. r.p.s The magnetic field produced at the centre of the circle in SI unit is \(\left(\mu_0=\right.\) permeability of vacuum, ...

The magnetic field inside a current carrying toroidal solenoid is \(0.2 \mathrm{~mT}\). What is the magnetic field inside the toroid if the current through it is tripled and radius is made \(\frac{1}{3}^{\text {rd}}\) ?

A long solenoid carrying a current produces a magnetic field B along its axis. If the number of turns per \(\mathrm{cm}\) is doubled and the current is made \(\left(\frac{1}{3}\right)^{\text {rd }}\) then the new value of the magnetic field...

A charge moves with velocity '\(V\)' through electric field \((E)\) as well as magnetic field (B). then the force acting on it is

The magnetic flux near the axis and inside the air core solenoid of length \(60 \mathrm{~cm}\) carrying current '\(\mathrm{I}\)' is \(1.57 \times 10^{-6} \mathrm{~Wb}\). Its magnetic moment will be $$\left[\mu_0=4 \pi \times 10^{-7}\right.$...

Magnetic moment of revolving electron of charge (e) and mass (m) in terms of angular momentum (L) of electron is :

A, B and C are three parallel conductors of equal lengths carrying currents \(\mathrm{I}, \mathrm{I}\) and \(2 \mathrm{I}\) respectively. Distance between A and B is '\(x\)' and that between B and C is also '\(x\)'. \(F_1\) is the force exe...

An electron (e) moves in circular orbit of radius 'r' with uniform speed 'V'. It produces magnetic field 'B' at the centre of circle. The magnetic field B is \(\left(\mu_0=\right.\) permeability of free space)

The magnetic field intensity 'H' at the centre of a long solenoid having 'n' turns per unit length and carrying a current 'I', when no material is kept in it, is

If the charge to ratio of an electron is 'A' C/kg, then the gyromagnetic ratio of an orbital electron in C/kg is

The relation between magnetic moment 'M' of revolving electron and principle quantum number 'n' is

The magnetic field at the centre of a current carrying circular coil of area 'A' is 'B'. The magnetic moment of the coil is ( \(\mu_0=\) permeability of free space)

Two wires carrying currents \(5 \mathrm{~A}\) and \(2 \mathrm{~A}\) are enclosed in a circular loop as shown in the figure. Another wire carrying a current of \(3 \mathrm{~A}\) is situated outside the loop. The value of $$\oint \overrightar...

A metal conductor of length \(1 \mathrm{~m}\) rotates vertically about one of its ends at an angular velocity of \(5 \mathrm{~rad} / \mathrm{s}\). If horizontal component of earth's magnetic field is \(0.2 \times 10^{-4} \mathrm{~T}\), then...

An electron moves in a circular orbit with uniform speed $v$. It produces a magnetic field $B$ at the centre of the circle. The radius of the circle is [ $\mu_0=$ permeability of free space, $e=$ electronic charge]

A charge \(q\) moves with velocity \(v\) through electric field \(\mathrm{E}\) as well as magnetic field (B). Then, the force acting on it is

A charged particle is moving in a uniform magnetic field in a circular path of radius \(R\). When the energy of the particle becomes three times the original, the new radius will be

An electron \((e)\) is revolving in a circular orbit of radius \(r\) in hydrogen atom. The angular momentum of the electron is (\(M=\) magnetic dipole moment associated with it and \(m=\) mass of electron)

A circular coil of radius \(R\) is carrying a current \(I_1\) in anti-clockwise sense. A long straight wire is carrying current \(I_2\) in the negative direction of \(X\)-axis. Both are placed in the same plane and the distance between cent...

An \(\alpha\)-particle of energy 10 eV is moving in a circular path in uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be [mass of \(\alpha\)-particle \(=4\) times mass of proton]

Figure show the circular coil carrying current $I$ kept very close but not touching at a point $A$ on a straight conductor carrying the same current $I$. The magnitude of magnetic induction at the centre of the circular coil will be

In a hydrogen atom, an electron of charge $e$ revolves in a orbit of radius $r$ with speed $v$. Then, magnetic moment associated with electron is

A circular coil and a square coil is prepared from two identical metal wires and a current is passed through it. Ratio of magnetic dipole moment associated with circular coil to that of square coil is

Six very long insulated copper wires are bound together to form a cable. The currents carried by the wires are $I_1=+10 \mathrm{~A}, I_2=-13 \mathrm{~A}, I_3=+10$ $\mathrm{A}, I_4=+7 \mathrm{~A}, I_5=-12 \mathrm{~A}$ and $I_6=+18 \mathrm{~A...

Maximum kinetic energy gained by the charged particle in the cyclotron is independent of

Two parallel conductors carrying unequal currents in the same direction ............

The magnitude of the magnetic induction at a point on the axis at a large distance ( $r$ ) from the centre of a circular coil of ' $n$ ' turns and area ' $A$ ' carrying current ( $I$ ) is given by

The magnetic dipole moment of a short magnetic dipole at a distant point along the equator of magnet has a magnitude of ' $X$ ' in SI units. If the distance between the point and the magnet is halved then the magnitude of dipole moment will...

A circular coil of wire consisting of 100 turns each of radius 9 cm carries a current of 0.4 A . The magnitude of the magnetic field at the centre of coil is $\left[\mu_0=12.56 \times 10^{-7} \mathrm{SI}\right.$ Unit]

Torque acting on a rectangular coil carrying current ' $l$ ' situated parallel to magnetic field of induction ' $B$ ', having number of turns ' $n$ ' and area ' $A$ ' is