4) One electron collides elastically with a second initially at rest. After the collision, the radii of their circular trajectories are 1.00 cm and 2.40 cm. The trajectories are perpendicular to a uniform magnetic field of magnitude 0.044 T. Determine the energy (in keV) of the incident electron.
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- 4. An ionized deuteron (a particle with a +e charge) passes through a velocity selector whose magnetic and electric fields have magnitudes of 40.0 mT and 6.70 kV/m, respectively. Find the speed of the ion to undeflected. m/s VISS (9JS 09.09 $$160 ssfove through the selectorChapter 29: Magnetic Fields We studied how a moving charge would react in a magnetic field, which extends naturally to current where charges drift (hence moves) in a magnetic field. One special case of this is the torque due to current loops in magnetic fields: 7= μx B= IAX B since we defined the magnetic moment of a current loop as μ = IĀ. estimate the current that an electric car would have to provide to its motor such that it can do 0-100 kph in 3 seconds. Some useful hints for guidance are below: (1) . Find the acceleration using kinematics With the acceleration, what would be the torque needed for the motor to apply to the wheel? You need to estimate yourself the size of the wheel, as well as the size of the motor hub that is connected to the wheel. A simple electric motor has a permanent magnet, say of strength of 1 Tesla, and a coil acting as many current loops. You need to estimate the number of loops, you can google it just come up with a reasonable number. ● From this and…12.57×10-7 Tesla is not a valid option of the answers available to choose.
- What is the z-component of the net force acting on a particle (so you can ignore gravity) of charge 467.4 uC moving at (437.9, -520.7, -526.6) m/s in an electric field = (4,778.8, -4,132.8, -4,712.2) N/C and a magnetic field = (-0.8, -0.7, 0.2) T? Assume that nothing is in contact with the charge.In the figure, the weight of the 20 cm long moving edge of a frame in the vertical plane in a magnetic field of B=0.57 out of the paper plane is W=0.1 N. The total of the frame is R=10 Q. What will be the limit velocity of the released edge? - 20cm a) v = 160 m/s b) V = 100 m/s c) V = 220 m/s d) O v= 55 m/s %3! O 0 00 QO 00 © 0 00 0 0 00In a nuclear experiment a photon with kinetic energy 6.0 MeV moves in a circular path in a uniform magnetic field. If the magnetic field is B= 1.7 T what is the radius of the orbit?
- The Hall affect is used to measure the carrier density of a thin sheet of electrons. When a current of 80.0 µA flows through the length of the electron sheet, which is 1.2-mm long, 0.27- mm wide and 12-nm thick, a magnetic field perpendicular to the sheet produces a potential difference of 0.53 mV across the width of the sheet. If the carrier density in the electron sheet is 6.74 x 1025 m-3, what is the magnitude of the magnetic field?4) An interstellar dust particle of mass 15.0 ug and charge 0.250 nC is moving in a region where cosmic magnetic field of magnitude 1.2 x 10-9 T is present. Determine the time it takes the particle to complete one full revolution of circular orbit.An alpha particle ( Helium nucleus) having a mass of 4 protons is shot into a magnetic field of 0.2 T at right angles to the field and moves in a circle of radius 20 cm. Find a) the momentum of the alpha particle b) its velocity c) kinetic energy.
- 5) A beta particle emitted by radioactive C-14 passes through a uniform magnetic field with magnitude 1.60 T. The beta particle is moving up along the screen with a speed equal to 86.3% of the speed of light c, and the uniform field points to the right. a) In what direction will the beta particle be deflected? Explain briefly how you got your b) answer. s What will be the magnitude of the magnetic force (in N) acting on the beta particle? Show your work. Without doing another calculation, what magnitude of magnetic force would an alpha particle, moving with the same speed as the beta particle, experience in this magnetic field? Explain your answer briefly.An alpha particle with velocity v = (3 x 105,0,0) m/s enters a region where the magnetic field has a value B = (0,0,1.2) T. Determine the required magnitude and direction of an electric field E that will allow the alpha particle to continue to move along the x axis.The ions were accelerated by an applied voltage right before entering the magnetic field.What was the applied voltage if the ions accelerated from rest? V = ?