A particle of mass m = 1.5 x 10-16 kg and charge q = 2.3 × 10-16 C first accelarates under a potential difference of V = 103 V then enters a uniform magnetic field of a magnetic field vector directed vertically to the path of the particle. It is observed that the particle comes out of the uniform B field region in the reverse direction with a trajectory paralell to the original path which is shifted by Ax as seen in the figure below. It is measured that the particle spends 2.5 × 10-3 s in the magnetic field region. (a) What is the shift Ax for the trajectory? (b) What is the magnitude and direction of the magnetic field? (c) Now a second charged particle of unkown mass and charge Q = 8.5 x 10-15 C enters the same magnetic field region under the same accelerating potential. It is then observed that the radius of the trajectory of the particle in the magnetic field region is 3 x 10-² m. What is the mass of the particle? uniformm B field regian (d) Finally, a third particle of the same cgarge and mass as the second one is accelarated under the same accelarating potential before it enters the uniform magnetic field region. Now we apply a uniform electric field also in the same magnetic field region so that the third particle will show no deviation from its original trajectory. What must be the magnitude and direction of this applied electric field? Ax

Two concentric, circular wire loops of radii rį = 18.7 cm and r2 = 26.3 cm, are located in an xy plane; each carries a clockwise current of 7.45 A (see the figure below). (a) Find the magnitude of the net magnetic dipole moment of the system. (b) Repeat for reversed current in the inner loop. T2

A loop in the form of an equilateral triangle with side L is in the first quadrant of the xy plane with one of the vertices at the origin and one of the sides on the x axis. Obtain the magnetic force on each side of the triangle if a current I passes through the loop and the applied magnetic field is given by Bo = (Box)i + (Bo)k, with Bo> 0. What is the total force on the loop?   Obs: the magnetic field it's not defined in j.

An unknown particle travelling with a velocity of 3.12 x 105 m/s enters a 54 mT magnetic field and curves in a circular path with a radius of 12 cm. Determine the charge-to-mass ratio, enter that value in the first blank (with three significant figures of accuracy). From the table of particles on your data sheet (showing data for the charge and mass for alpha particle, electron, proton, and neutron), the identity of the unknown particle is most likely.

A particle having mass m  = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 7.84E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z  direction, which is out of the plane of the page. What is the speed of the particle after 7 periods of the cyclotron motion (in m/s)?

The image below shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio e/m. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential difference ΔV, and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through a small opening to a detector. As the accelerating voltage is slowly increased, different ions reach the detector and are measured. Typical design values are a magnetic field strength B = 0.627 T and a spacing between the entrance and exit holes d = 5.83 cm. a)What accelerating potential difference ΔV is required to detect N2+? b)What accelerating potential difference ΔV is required to detect O2+? c)What accelerating potential difference ΔV is required to detect CO+?

In the figure, an electron accelerated from rest through potential difference V1-1.26 kV enters the gap between two parallel plates having separation d = 19.6 mm and potential difference V2- 52.4 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? Number ( o ĵ+ i R) Units mT 124.7

The current in a long, straight conductor has the following form:I(t) = I0cos ωtWhat is the magnitude of the magnetic field a distance r away from theconductor?

Two particles have the same linear momentum, but particle A has four times the charge of particle B. If both particles move in a plane perpendicular to a uniform magnetic field, what is the ratio RAIRB of the radii of their circular orbits?

In the figure, an electron accelerated from rest through potential difference V₁-1.03 kV enters the gap between two parallel plates having separation d-17.2 mm and potential difference V₂-108 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit- vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? Number (0 7+0 3.30e-4 A) Units mT