The following diagram shows apparatus used to measure the charge to mass ratio of an electron. The dotted line shows the path of the electrons. The electrons have velocity v=0.2 c. Within the uniform magnetic field region, B=0.00780 T. The radius of the circle created by the electron beam is r = 0.045 m.
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- Imagine that there is 0.8 A running through a metal (7.6 x1028 electrons/m3) wire with a square cross-sectional area of width 0.6 cm. We also place this wire into a uniform magnetic field, such that a potential difference of 6.5 x 10-8 V is across the wire (from one edge to the other, as we discussed in class on the Hall Effect). What is the magntiude of this magnetic field?A 180 V battery is connected across two parallel metal plates of area 28.5 cm2cm2 and separation 7.20mm. A beam of alpha particles (charge +2e+2e, mass 6.64×10-27kg6.64×10-27kg) is accelerated from rest through a potential difference of 1.50 kV and enters the region between the plates perpendicular to the electric field, What magnitude of magnetic field is needed so that the alpha particles emerge undeflected from between the plates? Express your answer with the appropriate units. What is the direction of this magnetic field? The magnetic field is directed out of the page. The magnetic field is directed upward. The magnetic field is directed into the page. The magnetic field is directed downward.-12 F/m. Magnetic 12.566370614356 × 10¬7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10¬31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb 8.987 x 10° N · m² /C². Vacuum permitivity, €o = 8.854 × 10 Use the following constants if necessary. Coulomb constant, k Permeability of vacuum, µo The flux oE = 17 N · m² /C through the open surface A = 7i + 4j+ 2k is given. Find the value of a if the electric field is E = -ai +7k Value of "a" Give your answer up to at least three significance digits.
- Atom 1 of mass 35 u and atom 2 of mass 37 u are both singly ionized with a charge of +e. After being introduced into a mass spectrometer (see the figure below) and accelerated from rest through a potential difference V = 7.4 kV, each ion follows a circular path in a uniform magnetic field of magnitude B = 0.30 T. What is Δx, the distance between the points where the ions strike the detector? _____________m (please show units so that I can follow easier)can you please ans (a) (b) (c)?Problem 5: An electron (q= -e = -1.60 × 10-19 C and me = 9.11 × 10-31 kg) in a cathode-ray tube is accelerated through a potential difference of 10 kV. Thus, the electron leaves the cathode-ray tube with a speed v = 5.93 × 107 m/sec. The electron then passes through the 2.0 cm wide region of uniform magnetic field (shown in the Figure above on the right). What field strength will deflect the electron by 10°? Answer: B = 0.0029 T. OV 10 kV 2.0 cm 10°
- A pellet which holds a charge of 10 coulombs is moving upwards (+Y) and driven by an electric field in the same direction with a magnitude of 50 V/m. There is a magnetic field with a magnitude of 25 Tesla’s pointing downwards (-Y). How fast does the pellet need to be going for the magnetic force to cancel the electric force? Group of answer choices 0.5 m/s 2 m/s 4 m/s The forces will cancel out at any speed the pellet may be travelling In this case, the electric force cannot be canceled out by the magnetic forceAn electron moves in an uniform magnetic field (with the orbital plane perpendicular to the field). If the cylotron radius of the electron is 60 cm and it's kinetic energy is 9.6 keV, find the electron's speed, the magnitude of the magnetic field, the cyclotron frequency, and the period of the motion. Use me=9.11×10−31me=9.11×10-31 kg, e=1.6×10−19e=1.6×10-19 C, and 1 T = 104 G. The speed, v = Units Correct . The magnetic field, B = Units . The cyclotron frequency, f = Units Correct . The period, T = Units Correct .A beam of electrons with velocity vx = 5 x105 m/s is introduced into a uniform magnetic field Bz = 30 mTesla. An electric field Ey is applied perpendicular to both the initial velocity and the magnetic field. What value of electric field must be applied to leave the electron beam undeflected?
- A proton is moving under the combined influence of an electric field (E = 2569 V/m) and a magnetic field (B = 2.45 T), as shown in the figure. Assuming the proton is moving in the direction shown in the figure with speed 255 m/s at the instant it enters the crossed fields, what is the acceleration of the proton? (units are in m/s^2)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 Bainbridge spectrometer works by ionizing particles, sending them through a velocity selector, and then detecting a given charge-to-mass ratio based on its trajectory in a uniform magnetic field (See Ch 11.7 in your book). Suppose your spectrometer works by altering the electric field of the velocity selector to scan for ions. If a singly-charged ion of mass 140.9 amu required an electric field of 1.9 N/C, what electric field would be necessary to detect a doubly-charged ion of mass 161.9? Give your answer in units of N/C.