An electron accelerated form through a potential difference of 2000 volts rest enters a uniform magnetic field of induction 0.02 wb/m perpendicular to the direction of its motion. Calculate the velocity of the electron and radius of its path.
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![An electron accelerated form
rest
through a potential difference of 2000 volts
enters a uniform magnetic field of induction
0.02 wb/m² perpendicular to the direction of
its motion. Calculate the velocity of the
electron and radius of its path.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74f3f99a-b13f-46d1-92e8-20ee6f4576e8%2F69053519-4eae-42f3-9544-f4059ce6a6ec%2Fd252ina_processed.jpeg&w=3840&q=75)
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- Electrons starting from rest are accelerated through a potential difference of 240 V and fired into a region of uniform 3.5-mT magnetic field generated by a large solenoid. The electrons are initially moving in the +x-direction upon entering the field, and the field is directed into the page. Determine (a) the radius of the circle in which the electrons will move in this uniform magnetic field and (b) the initial direction of the magnetic force the electrons feel upon entering the uniform field of the solenoid.A proton (H+) moves at 5.00E+07 m/s perpendicular to a magnetic field. The ion enters perpendicular to a large magnetic field of strength of 2.50 T so that the proton cannot leave the magnetic field. (a) What is the radius of the circular motion of the proton, in meters? (b) What is the period of the circular motion, in nanoseconds? (c) What is the frequency of the motion, in MHz?AS0.0-g metal ball having net charge Q = 5.50 µC is thrown out of a window horizontally north at a speed v = 22.0 m/s. The window is at a height h = 18.0 m above the ground. A uniform, horizontal magnetic field of magnitude B = 0.0100 T is perpendicular to the plane of the ball's trajectory and directed toward the west. (a) Assuming the ball follows the same trajectory as it would in the absence of the magnetic field, find the magnetic force acting on the ball just before it hits the ground. (Let the +x-direction be toward the north, the +y-direction be up and the +z-direction be east.) B. (b) Based on the result of part (a), is it justified for three-significant-digit precision to assume the trajectory is unaffected by the magnetic fleld? O Yes O No Explain.
- A proton is moving in a circular orbit of radius 28.9 cm with a speed of 3.7*106m/s in a uniform magnetic field perpendicular to the velocity of the proton. Find the magnetic field in which the proton is moving. mp = 1.67×10-27 kg, charge of proton = 1.61×10-19C. Also calculate the time period of the proton. Calculate the magnetic field and the time period to two decimal places. Submit the magnetic field as your answer. You are required to show your work in the file you submit.An ion carrying a single positive elementary charge (+e) has a mass of 4.22x10-27 kg. It is accelerated through an electric potential difference of 1.29 kV and then enters a uniform magnetic field of B = 0.2 T along a direction perpendicular to the field. What is the radius of the circular path of the ion in the magnetic field? (Units: cm)What uniform magnetic field, applied perpendicular to a beam of electrons moving at 2.70 ✕ 106 m/s, is required to make the electrons travel in a circular arc of radius 0.400 m?
- An electron initially at rest is accelerated through a potential difference of 3 kV in the positive x- direction. It enters a region where a uniform magnetic field of 5.0-mT is in a positive y-direction (perpendicular to the velocity of the electron). Calculate the radius of the path this electron will follow in the magnetic field. (e = 1.60 × 10-19 c, m electron = 9.11 × 10¯31 kg)An electron moving at the speed of 107 m/s, enters a magnetic field of induction 0.1 T at right angle to the velocity of electron. The radius of circular path followed by the electron is(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