List of top Physics Questions on Moving charges and magnetism asked in JEE Advanced

Two beads, each with charge q and mass m, are on a horizontal, frictionless, non-conducting, circular hoop of radius R. One of the beads is glued to the hoop at some point, while the other one performs small oscillations about its equilibrium position along the hoop. The square of the angular frequency of the small oscillations is given by [ \(\epsilon_0 \)is the permittivity of free space.]

Which one of the following options represents the magnetic field $\vec{B}$ at $O$ due to the current flowing in the given wire segments lying on the $x y$ plane?

 

In a particular system of units, a physical quantity can be expressed in terms of the electric charge e, electron mass m_e, Planck’s constant h, and Coulomb’s constant \(k=\frac{1}{4\pi\epsilon_0}\), where ε₀ is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is [B] = [e]^α [m_e]^β [h]^γ [k]^δ. The value of α + β + γ + δ is ______.
 

A conductor (shown in the figure) carrying constant current $I$ is kept in the $x-y$ plane in a uniform magnetic field $\vec{B}$. If $F$ is the magnitude of the total magnetic force acting on the conductor, then the correct statement(s) is(are)

A rectangular loop of sides $10\, cm$ and $5\, cm$ carrying a current $I$ of $12 \,A$ is placed in different orientations as shown in the figures below,

If there is a uniform magnetic field of $0.3\, T$ in the positive $z$-direction in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium?

A steady current $I$ flows along an infinitely long hollow cylindrical conductor of radius $R$. This cylinder is placed coaxially inside an infinite solenoid of radius $2R$. The solenoid has $n$ turns per unit length and carries a steady current $I$. Consider a point $P$ at a distance $r$ from the common axis. The correct statement(s) is (are)

A particle of mass $M$ and positive charge $Q$, moving with a constant velocity $u _{1}=4 \hat{i}ms ^{-1}$, enters a region of uniform static magnetic field normal to the $x$-y plane. The region of the magnetic field extends from $x =$ 0 to $x = L$ for all values of $y$. After passing through this region, the particle emerges on the other side after 10 milliseconds with a velocity $\vec{ u }_{2}=2(\sqrt{3} i +\hat{ j }) m / s ^{-1}$. The correct statement(s) is (are)

An infinitely long hollow conducting cylinder with inner radius $R/2$ and outer radius $R$ carries a uniform current density along its length. The magnitude of the magnetic field, as a function of the radial distance $r$ from the axis is best represented by

A particle of mass $m$ and charge $q$, moving with velocity $V$ enters Region II normal to the boundary as shown in the figure. Region II has a uniform magnetic field B perpendicular to the plane of the paper. The length of the Region II is $I$. Choose the correct choice (s).

A magnetic field $B=B_0 \widehat{j}$ exists in the region a < x < 2 a and $B=-B_0 \widehat{j}$ in the region 2a < x < 3a, where $B_0$ is a positive constant. A positive point charge moving with a velocity$v-v_0 \widehat{i} $ where $v_0$ is a positive constant, enters the magnetic field at x = a. The trajectory of the charge in this region can be like

Which of the following statement is (are) correct in the given figure ?

An electron moving with a speed u along the positive x-axis at y = 0 enters a region of uniform magnetic field $B=-B_0 k$ which exists to the right of v-axis. The electron exits from the region after sometime with the speed v at coordinate y, then

A current carrying loop is placed in a uniform magnetic field in four different orientations, I, II, III and IV, arrange them in the decreasing order of potential energy

For a positively charged particle moving in a x-y plane initially along the x-axis, there is a sudden change in its path due to the presence of electric and/or magnetic fields beyond P. The curved path is shown in the x - y plane and is found to be non-circular. Which one of the following combinations is possible?

A long straight wire along the z-axis carries a current I in the negative z-direction. The magnetic vector field B at a point having coordinate (x, y ) on the z = 0 plane is

A non-planar loop of conducting wire carrying a current I is placed as shown in the figure. Each of the straight sections of the loop is of length 2a. The magnetic field due to this loop at the point P (a, 0, a) points in the direction

An ionized gas contains both positive and negative ions. If it is subjected simultaneously to an electric field along the + x-direction and a magnetic field along the +z-direction, then

An infinitely long conductor PQR is bent to form a right angle as shown in figure. A current I flows through PQR. The magnetic field due to this current at the point M is $H_1$. Now, another infinitely long straight conductor QS is connected at Q, so that current is I/2 in QR as well as in QS, the current in PQ remaining unchanged. The magnetic field at M is now $H_2.$ The ratio $H_1 /H_2$ is given by

A charged particle is released from rest in a region of steady and uniform electric and magnetic fields which are parallel to each other. The particle will move in a

A proton, a deuteron and alpha particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. $r_p, r_d $ and $r_{\alpha}$ denote respectively the radii of the trajectories of these particles, then

A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r andresistance R. One of the arcs AB of the ring subtends an angle $\theta$ at the centre. The value of the magnetic induction at the centre due to the current in the ring is

A current I flows along the length of an infinitely long, straight, thin-walled pipe. Then

Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii $R_1$ and $R_2$ respectively. The ratio of the mass of X to that of Y is

Two thin long parallel wires separated by a distance b are carrying a current i ampere each. The magnitude of the force per unit length exerted by one wire on the other is

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If E and B represent the electric and magnetic fields respectively. Then, this region of space may have