A charge -q is moving at a constant speed of v 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) (a,0,0); (b) (0,b,0);
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- Please find the degree alsoA long, straight wire lies on a horizontal table in the xy-plane and carries a currentof 1.20 μA in the positive x-direction along the x-axis. A proton is traveling in the negativex-direction at speed 2.3 × 104 m/s a distance d above the wire (i.e. z = d). (a) What is the direction of the magnetic field of the wire at the position of the proton?(b) What is the direction of the magnetic force acting on the proton?A long, straight wire lies on a horizontal table in the xy -plane and carries a current of 1.20 μA in the positive x -direction along the x-axis. A proton is traveling in the negative x -direction at speed 2.30 × 104 m/s a distance d above the wire (i.e., z = d). (a) What is the direction of the magnetic field of the wire at the position of the proton? (b) What is the direction of the magnetic force acting on the proton? (c) Explain why the direction of the proton’s motion doesn’t change. (d) Using Newton’s second law, find a symbolic expression for d in terms of the acceleration of gravity g, the proton mass m , its speed v, charge q, and the current I (e) Find the numeric answer for the distance d using the results of part (d).
- RPAn alpha particle (a helium nucleus, containing 2 protons and 2 neutrons, and having a mass of 6.64 x 10 - 27 kg) traveling horizontally at 36.5 km/s enters a uniform, vertical 2.2-Tesla magnetic field. (a) What is the diameter of the path followed by this alpha particle? (b) What is the magnitude and direction of the acceleration of the alpha particle while it is in the magnetic field?An electron is instantaneously located at the origin and had a velocity of v = (5.0 × 107 , 0. 0 ,0. 0)m/s. At this moment, find the vector magnetic field at the two locations: (3.0,4. 0, 0. 0)m and (5. 0,0. 0, 0. 0)m. Express your answer as a vector.
- An electron moves in a circular path perpendicular to a uniform magnetic field with a magnitude of 1.98 mT. If the speed of the electron is 1.40 x 107 m/s, determine the following. (a) the radius of the circular path cm (b) the time interval required to complete one revolutionA long straight wire suspended in the air carries a conventional current of 7 amperes in the -x direction as shown (the wire runs along the x-axis). At a particular instant an electron at location m has velocity m/s. z out (a) What is the magnetic field due to the wire at the location of the electron? B = tesla (b) What is the magnetic force on the electron due to the current in the wire? F= N (c) If the moving particle were a proton instead of an electron, what would the magnetic force on the proton be? F =A long straight horizontal cable carries a current of 2.5 A in the direction 10° south of west to 10° north of east. The magnetic meridian of the place happens to be 10° west of the geographic meridian. The earth’s magnetic field at the location is 0.33 G, and the angle of dip is zero. Locate the line of neutral points (ignore the thickness of the cable)? (At neutral points, magnetic field due to a current-carrying cable is equal and opposite to the horizontal component of earth’s magnetic field.)
- A charge of 1.7 C having an initial velocity of electric field E-4.87 N/C and a magnetic field 3.84+3.7 m/s enters a region with an 4.77-3.94 1. Calculate the magnitude of the force on the charge immediately after it enters the region. Express your answer in Newtons (write just the value, not the unit), rounding to one digit after the decimal separator. Yarutina ekleyinA charged particle, passing through a certain region of space, has a velocity whose magnitude and direction remain constant.(a) If it is known that the external magnetic field is zero everywhere in this region, can you conclude that the external electric field is also zero?(a) At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 7.85 ✕ 106 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.20 ✕ 10−5 T? m/s (b) What would the radius (in m) of the path be if the proton had the same speed as the electron? m (c) What would the radius (in m) be if the proton had the same kinetic energy as the electron? m