m In an experiment of measure by Thomson's method, electron travelling at a speed of 2.25 × 107 m/s are made to enter a traverse magnetic field of induction 2.32 × 10-³ Wb/m². If the radius of circular path traced out by the electron beam is 5.5 cm, find the value of= m
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- The uniform 30 mT magnetic field in figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 3.0 x 106 m/s and at an angle of ô = 30° above the xy-plane. Find the radius r and the pitch p of the electron's spiral trajectory. Z B 4A strip of copper is placed in a uniform magnetic field of magnitude 3.5 T. The Hall electric field is measured to be 2.0 x 10-3 V/m. (a) What is the drift speed of the conduction electrons m/s)? m/s (b) Assuming that n = 8.0 x 1028 electrons per cubic meter and that the cross-sectional area of the strip is 4.4 x 10-6 m², calculate the current in the strip (in A). (in m³/C)? nq (c) What is the Hall coefficient m3/cA-4.80 uC charge is moving at a constant speed of 6.80 x 105 m/s in the +x-direction relative to a reference frame. At the instant when the point charge is at the origin, what is the magnetic field vector it produces at the following points a point (x 0.500 m, y = 0.500 m, z 0) Select one: B = -1.29x10-77 B = -4.62x10-7 R B = -7.15x10-7 R B = -2.12x10-7↑ B = 3.17x10 6
- -27 kg is The charge of an electron and a proton are both equal to q = 1.602 x 10-19 but the mass of a proton mp = 1.673 x 10 much larger than the mass of an electron me = 9.11 x 10-31 kg. If a proton and an electron move at the same speed in a circular path in a uniform magnetic field, what is the ratio of the radius of the proton's circular path r, to the radius of the electron's circular path Image size: s ML Max re. In other words what is rp/re? Note: the picture of the circular paths for the electron and proton are not drawn to scale. メ re Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8005 A uniform electric field of magnitude 5.06 x 10 V/m throughout a cylindrical volume re- sults in a total energy of 2.95 µJ. What magnetic field over this same region stores the same total energy? Answer in units of T.An electron moves in a circle of radius r = 5.75 x 10-11 m with a speed 1.64 x 106 m/s. Treat the circular path as a current loop with a constant current equal to the ratio of the electron's charge magnitude to the period of the motion. If the circle lies in a uniform magnetic field of magnitude B = 6.96 mT, what is the maximum possible magnitude of the torque produced on the loop by the field? Number i Units
- Consider a straight conductor of length 15 cm. The conductor moves at right angles to a magnetic field of uniform strength B = 10-³ T generating e.m.f. of 2,5 x 10-5 V. Calculate the velocity of the straight conductor. Give your answer in Sl units. Answer: m/s ♦Aircraft sometimes acquire small static charges. Suppose a supersonic jet has a 0.35 μC charge and flies due west at a speed of 640 m/s over the Earth’s south magnetic pole, where the 8.00 × 10-5 T magnetic field points straight up. v = 640 m/sq = 0.35 μC What is the magnitude of the magnetic force on the plane, in newtons?A positively-charged ion travelling at 250 m sis fired between two parallel charged plates, M and N. There is also a magnetic field present in the region between the two plates. The direction of the magnetic field is into the page as shown. The ion is travelling perpendicular to both the electric and the magnetic fields. M ✗ ✗ X X (+) ✗ ✗ N The electric field between the plates has a magnitude of 200 V m¹. The magnetic field is adjusted so that the ion passes through undeflected. What is the magnitude of the adjusted magnetic field, and the polarity of the M terminal relative to the N terminal? Magnitude of magnetic field Polarity of M relative to N (teslas) A. 0.8 positive B. 0.8 negative C. 1.25 positive D. 1.25 negative
- 9. An infinite sheet of current lying in the yz plane carries a surface current of linear density J, (i.e. amps/m). The current is in the positive z direction and J; represents the current per length measured along the y axis. Prove that the magnetic field near the sheet is parallel to the sheet and perpendicular to the current direction, with a magnitude of Ho Js / 2.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 = 2.41E2 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 the magnetic force that B exerts on the particle (in N; use positive sign if the force points in the +x direction and negative sign if the force points in the −x direction)?A point charge Q moves on the x-axis in the positive direction with a speed of 644 m/s. A point P is on the y-axis at 43 mm. The magnetic field produced at point P, as the charge moves through the origin, is equal to -6.24 µT in the +z direction. When the charge is at x = 53 mm, what is the magnitude of the magnetic field at point P (in μ.)? μT