Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. Theouter one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of theouter solenoid are, respectively, 20.7 cm, 509 turns, and 5.81 A. For the inner solenoid the corresponding quantities are 19.3 cm,307 turns, and 1.81 A. The elementary charge is 1.602 × 10-199 C, the mass of the proton is 1.673 x 10-2 kg, and the vacuumpermeability constant has the value 47 x 10- T•m/A.At what speed vi should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit theaxis of the solenoids at a radius of 5.81 mm?U1 =7955.7m/s%3DAt what speed v2 should a proton be traveling if it is to orbit the axis of the solenoids at a radius of 18.1 mm?24784.6U2 =m/sIncorrect

Answered: Image /qna-images/answer/e5125ed7-ca19-4db8-8627-7ddae55f0e40.jpg

Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. The outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the outer solenoid are, respectively, 20.7 cm, 509 turns, and 5.81 A. For the inner solenoid the corresponding quantities are 19.3 cm, 307 turns, and 1.81 A. The elementary charge is 1.602 x 10-19 C, the mass of the proton is 1.673 x 10 2 kg, and the vacuum permeability constant has the value 47 x 10-7 T-m/A. At what speed vy should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 5.81 mm? U = 7955.7 m/s At what speed v2 should a proton be traveling if it is to orbit the axis of the solenoids at a radius of 18.1 mm?

Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. The outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the outer solenoid are, respectively, 20.7 cm, 509 turns, and 5.81 A. For the inner solenoid the corresponding quantities are 19.3 cm, 307 turns, and 1.81 A. The elementary charge is 1.602 x 10-19 C, the mass of the proton is 1.673 x 10 2 kg, and the vacuum permeability constant has the value 47 x 10-7 T-m/A. At what speed vy should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 5.81 mm? U = 7955.7 m/s At what speed v2 should a proton be traveling if it is to orbit the axis of the solenoids at a radius of 18.1 mm?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

PLEASE ANSWER BOTH 1. It is desired to construct a solenoid that will have a resistance of 4.80 Ω (at 20°C) and produce a magnetic field of 4.00 ✕ 10−2 T at its center when it carries a current of 4.35 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 ✕ 10−8 Ω · m.) (a) the number of turns of wire needed to build the solenoid. _______ turns (b) the length the solenoid should have ________ cm 2. A wire with a weight per unit length of 0.077 N/m is suspended directly above a second wire. The top wire carries a current of 29.8 A and the bottom wire carries a current of 59.2 A. Find the distance of separation between the wires so that the top wire will be held in place by magnetic repulsion. _________ mm
An electron is moving at a speed of 1.70 x 104 m/s in a circular path of radius of 3.2 cm inside a solenoid. The magnetic field of the solenoid is perpendicular to the plane of the electron's path. The solenoid has 25 turns per centimeter. (a) Find the strength of the magnetic field inside the solenoid. (b) Find the current in the solenoid.
A solenoid that is 122 cm long has a radius of 2.76 cm and a winding of 1280 turns; it carries a current of 4.34 A. Calculate the magnitude of the magnetic field inside the solenoid.
A solenoid of length 2.00 cm and radius 0.750 cm has 49 turns. If the wire of the solenoid has 1.95 amps of current, what is the magnitude of the magnetic field inside the solenoid? magnitude of the magnetic field: T Ignoring the weak magnetic field outside the solenoid, find the magnetic energy density inside the solenoid. magnetic energy density: J/m3 What is the total magnetic energy inside the solenoid? total magnetic energy: J
When the current in a long, straight, air-filled solenoid is changing at the rate of 2000 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 turns and uniform cross-sectional area 25.0 mm2 . Assume that the magnetic field is uniform inside the solenoid and zero outside, so the result L =m0AN2/l applies. What is the magnitude B of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A?
A solenoid of length 2.50 cm and radius 0.750 cm has 33 turns. If the wire of the solenoid has 1.25 amps of current, what is the magnitude of the magnetic field inside the solenoid? magnitude of the magnetic field: 2.07 x10-3 Ignoring the weak magnetic field outside the solenoid, find the magnetic energy density inside the solenoid. magnetic energy density: 1.70 J/m³ What is the total magnetic energy inside the solenoid? 3.19 x10¬6 total magnetic energy: J Incorrect
A closely wound solenoid of 2000 turns has an axial length of 64 cm and a radius of 2.50 cm. When there is a current of 10.50 A in the solenoid, what is the flux density on the axis (a) at the center and (b) 12 cm away from the right end of the solenoid?
. A solenoid has radius 5.80 mm, length 11.0 cm, 5000 turns, and is placed with its axis of symmetry along the x-axis, through the origin. A vector normal to the opening of the solenoid points to the right. We measure the resistance of the solenoid to be 14.0 Ω. The solenoid is in a region where the temperature is 49.0°C and initially, there is an external magnetic field of 0.30 T in the +x direction. Then the magnetic field is turned off and drops to 0 T over 50.0 milliseconds a. What is the magnitude of the average induced emf during the 50.0 milliseconds while the magnetic field magnitude decreases to 0? b. What is the direction of the induced current, as viewed from the right? Answer clockwise, counterclockwise, or zero and show work or explain in words. c. What is the magnitude of the induced current? d. What is the magnitude and direction of the induced magnetic field?
The MIT Francis Bitter Magnetic Laboratory has achieved a magnetic field of 37.2 T(as of 2004). Find the current necessary to produce such a field near the center of asolenoid with radius 2.40 cm, length 32.0 cm, and 4.00 · 104 turns
As a new electrical technician, you are designing a large solenoid to produce a uniform 0.120-T magnetic field near the center of the solenoid. You have enough wire for 4000 circular turns. This solenoid must be 55.0 cm long and 2.80 cm in diameter. What current will you need to produce the necessary field? Express your answer to three significant figures and include the appropriate units.
Certain experiments must be performed in the absence of any magnetic fields. Suppose such an experinent is located at the center of a large solenoid oriented so that a current of I = 4.10 A produces a magnetic field that exactly cancels Earth's 4.10 × 10-5 T magnetic field. Find the solenoid's number of turns per meter.
The magnetic field at the center of a solenoid L = 65 cm long is B = 0.13 T when a current of I = 6.5 A travels through the solenoid wire. Solve the formula for the magnetic field near the center of a long, tightly wound solenoid for the number of turns, N, in the solenoid. The expression should be in terms of the given variables.