A charge q = -0.35 µC has a velocity of 2500000 m/s at 45° to the +x axis in the xz plane, with a positive x and z component. There is a magnetic field of magnitude 0.06 T. a) If B is along the +zaxis, what is the force on the charge? N along the +yaxis b) If the force on the charge is 2 × 10¬³N along +yaxis, what is the direction of B?
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- A beam of electrons is simultaneously influenced by an homogeneous electric field of 15600 V/m and by a homogeneous magnetic field of 4.62 x 10-3 T. Assume that both fields are perpendicular to the electron beam and to each other. Both fields have to be oriented such that they produce no deflection of the electron beam. a) Draw the relative orientations of the vectors v, E, and B and also the forces of FE and FB .b) Determine the speed of the electrons such that there is no deflection of the electron beam. c) When the electric field is switched off, what is the radius and the period of the electron orbit?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 washer with inner diameter 5.0 cm is carried in your pocket as you walk directly north according to your magnetic compass. Assume the normal to the washer's plane is exactly horizontal, pointing toward magnetic north. The Earth's magnetic field strength is 0.056 mT. If the magnetic flux through the washer's opening is 36 nTm2, what is the angle below local horizontal that the magnetic field vector points?
- One long wire lies along an x axis and carries a current of 62 A in the positive x direction. A second long wire is perpendicular to the xy plane, passes through the point (0, 5.8 m, 0), and carries a current of 59 A in the positive z direction. What is the magnitude of the resulting magnetic field at the point (0, 1.8 m, 0)? Number i 0.00000295 UnitsA rectangular loop of wire that is 68 cm wide and 9 cm long is placed in a region where the magnetic field is B = 2.2 T. Suppose the wire loop lies in the x–y plane and that the magnetic field makes an angle of 51° with the z axis. Find the magnitude of the magnetic flux.A cylindrical conductor of radius 10-2 m has a magnetic field H = (4.77x104)(ρ/2 - ρ2/(3x10-2 )) in its surface. What is the total current of the conductor? QUICKLY
- A charged particle is introduced into a uniform magnetic field Bz = 0.5 mTesla with an initial velocity vx = 1 x 106 m/s. It’s subsequent trajectory describes a circle with radius r = 2.4 cm. What is the specific charge q/m of this particle in terms of e/m = 1.67 x 1011C/kg? Select one: a. 2e/m b. 3e/m c. e/3m d. e/2m9. 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.The figure shows the cross section of a long conducting cylinder with inner radius a= 2cm and outer radius b-4cm. the cylinder carries a current out of the page and the current density in the cross section is given by j=cr^2 with c=3x10^6 A/m^4 and r in meters What is the magnetic field B at a point 3 cm from the central axis of the cylinder?