Magnetic Effect of Current

A circular coil having 200 turns, \(2.5 \times 10^{-4} \mathrm{~m}^2\) area and carrying \(100 \mu \mathrm{A}\) current is placed in a uniform magnetic field of \(1 \mathrm{~T}\). Initially the magnetic dipole moment \((\vec{M})\) was direc...

A coil having 100 turns, area of \(5 \times 10^{-3} \mathrm{~m}^2\), carrying current of \(1 \mathrm{~mA}\) is placed in uniform magnetic field of \(0.20 \mathrm{~T}\) such a way that plane of coil is perpendicular to the magnetic field. Th...

In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero :

A 2A current carrying straight metal wire of resistance \(1 \Omega\), resistivity \(2 \times 10^{-6} \Omega \mathrm{m}\), area of cross-section \(10 \mathrm{~mm}^2\) and mass \(500 \mathrm{~g}\) is suspended horizontally in mid air by apply...

A solenoid of length \(0.5 \mathrm{~m}\) has a radius of \(1 \mathrm{~cm}\) and is made up of '\(\mathrm{m}\)' number of turns. It carries a current of \(5 \mathrm{~A}\). If the magnitude of the magnetic field inside the solenoid is $$6.28 ...

The electrostatic force \(\left(\vec{F_1}\right)\) and magnetic force \(\left(\vec{F}_2\right)\) acting on a charge \(q\) moving with velocity \(v\) can be written :

The magnetic field existing in a region is given by \(\vec{B}=0.2(1+2 x) \hat{k}\). 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 \(x\)-\(y\) axes, as shown in...

An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then :

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 __________.

A rod of length \(60 \mathrm{~cm}\) rotates with a uniform angular velocity \(20 \mathrm{~rad} \mathrm{s}^{-1}\) about its perpendicular bisector, in a uniform magnetic filed \(0.5 T\). The direction of magnetic field is parallel to the axi...

An electron moves through a uniform magnetic field \(\vec{B}=B_0 \hat{i}+2 B_0 \hat{j} T\). At a particular instant of time, the velocity of electron is \(\vec{u}=3 \hat{i}+5 \hat{j} \mathrm{~m} / \mathrm{s}\). If the magnetic force acting ...

A rigid wire consists of a semicircular portion of radius \(R\) and two straight sections. The wire is partially immerged in a perpendicular magnetic field \(B=B_0 \hat{k}\) as shown in figure. The magnetic force on the wire if it has a cur...

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

A uniform magnetic field of \(2 \times 10^{-3} \mathrm{~T}\) acts along positive \(Y\)-direction. A rectangular loop of sides \(20 \mathrm{~cm}\) and \(10 \mathrm{~cm}\) with current of \(5 \mathrm{~A}\) is in \(Y-Z\) plane. The current is ...

Two insulated circular loop A and B of radius '\(a\)' carrying a current of '\(\mathrm{I}\)' in the anti clockwise direction as shown in the figure. The magnitude of the magnetic induction at the centre will be :

The current of \(5 \mathrm{~A}\) flows in a square loop of sides \(1 \mathrm{~m}\) is placed in air. The magnetic field at the centre of the loop is \(X \sqrt{2} \times 10^{-7} T\). The value of \(X\) is _________.

A charge of \(4.0 \mu \mathrm{C}\) is moving with a velocity of \(4.0 \times 10^6 \mathrm{~ms}^{-1}\) along the positive \(y\) axis under a magnetic field \(\vec{B}\) of strength \((2 \hat{k}) \mathrm{T}\). The force acting on the charge is...

Two particles \(X\) and \(Y\) having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radii \(R_1\) and \(R_2\) r...

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 \(\mathrm{P}\) midway between the wires is ___...

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If \(\overrightarrow{\mathrm{E}}\) and \(\overrightarrow{\mathrm{B}}\) represent the electric and magnetic fields respectively, th...

The magnetic field at the centre of a wire loop formed by two semicircular wires of radii \(R_1=2 \pi \mathrm{m}\) and \(R_2=4 \pi \mathrm{m}\), carrying current \(\mathrm{I}=4 \mathrm{~A}\) as per figure given below is $$\alpha \times 10^{...

A regular polygon of 6 sides is formed by bending a wire of length $4 \pi$ meter. If an electric current of $4 \pi \sqrt{3}$ A is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be $x \times 1...

A moving coil galvanometer has 100 turns and each turn has an area of $2.0 \mathrm{~cm}^2$. The magnetic field produced by the magnet is $0.01 \mathrm{~T}$ and the deflection in the coil is 0.05 radian when a current of $10 \mathrm{~mA}$ is...

A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will be

The ratio of magnetic field at the centre of a current carrying coil of radius \(r\) to the magnetic field at distance \(r\) from the centre of coil on its axis is \(\sqrt{x}: 1\). The value of \(x\) is __________

Two identical circular wires of radius \(20 \mathrm{~cm}\) and carrying current \(\sqrt{2} \mathrm{~A}\) are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wires is __________ $$\time...

A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is

A proton with a kinetic energy of \(2.0 ~\mathrm{eV}\) moves into a region of uniform magnetic field of magnitude \(\frac{\pi}{2} \times 10^{-3} \mathrm{~T}\). The angle between the direction of magnetic field and velocity of proton is $$60...

A rod with circular cross-section area \(2 \mathrm{~cm}^{2}\) and length \(40 \mathrm{~cm}\) is wound uniformly with 400 turns of an insulated wire. If a current of \(0.4 \mathrm{~A}\) flows in the wire windings, the total magnetic flux pro...

A long conducting wire having a current I flowing through it, is bent into a circular coil of $\mathrm{N}$ turns. Then it is bent into a circular coil of $\mathrm{n}$ turns. The magnetic field is calculated at the centre of coils in both th...

The magnetic moments associated with two closely wound circular coils \(\mathrm{A}\) and \(\mathrm{B}\) of radius \(\mathrm{r}_{\mathrm{A}}=10\) \(\mathrm{cm}\) and \(\mathrm{r}_{\mathrm{B}}=20 \mathrm{~cm}\) respectively are equal if : (Wh...

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

A current carrying rectangular loop PQRS is made of uniform wire. The length $P R=Q S=5 \mathrm{~cm}$ and $P Q=R S=100 \mathrm{~cm}$. If ammeter current reading changes from I to $2 I$, the ratio of magnetic forces per unit length on the wi...

As shown in the figure, a current of $2 \mathrm{~A}$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the centroid $\mathrm{O}$ of the triangle is

(Neglect the effect of earth's magnetic field)

A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve \(\mathrm{z}\) direction and lying in \(x y\) plane is shown in figure. The plot of \(\hat{j}\) component of magnetic field (By) at a...

The magnitude of magnetic induction at mid point \(\mathrm{O}\) due to current arrangement as shown in Fig will be

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 cur...

Match List I with List II

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Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7 cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are perpendic...

For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passes through it. If the torsional constant of suspension wire is \(4.0\times10^{-5}\mathrm{N~m~rad^{-1}}\), the magnetic field is 0.01T and ...

A circular loop of radius \(r\) is carrying current I A. The ratio of magnetic field at the center of circular loop and at a distance r from the center of the loop on its axis is :

Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5 cm distance. Magnitude of magnetic force experienced by 10 cm length of wire P is F\(_1\). If distance between wires is halved and current...

A single turn current loop in the shape of a right angle triangle with sides 5 cm, 12 cm, 13 cm is carrying a current of 2 A. The loop is in a uniform magnetic field of magnitude 0.75 T whose direction is parallel to the current in the 13 c...

A long solenoid is formed by winding 70 turns cm\(^{-1}\). If 2.0 A current flows, then the magnetic field produced inside the solenoid is ____________ (\(\mu_0=4\pi\times10^{-7}\) TmA\(^{-1}\))

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

Find the magnetic field at the point \(\mathrm{P}\) in figure. The curved portion is a semicircle connected to two long straight wires.

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

An electron in a hydrogen atom revolves around its nucleus with a speed of $6.76 \times 10^6 \mathrm{~ms}^{-1}$ in an orbit of radius $0.52 \mathrm{~A}^{\circ}$. The magnetic field produced at the nucleus of the hydrogen atom is _________ T...

The source of time varying magnetic field may be
(A) a permanent magnet
(B) an electric field changing linearly with time
(C) direct current
(D) a decelerating charge particle
(E) an antenna fed with a digital signal
Choose the correct answ...

A straight wire \(\mathrm{AB}\) of mass \(40 \mathrm{~g}\) and length \(50 \mathrm{~cm}\) is suspended by a pair of flexible leads in uniform magnetic field of magnitude \(0.40 \mathrm{~T}\) as shown in the figure. The magnitude of the curr...