Two particles enter a region in space where there is a constant magnetic field B. Particle 1 has a mass of 2m, speed 3v, and unknown charge of q1. Particle 2 has a mass of m, speed v, and a charge with magnitude q2 = +2e. See figure. While in the field, the radius of motion for particle 1 is 3R and the radius of motion for particle 2 is R. See figure. Find B and q1. The knowns are m, v, R, and e.

Two particles enter a region in space where there is a constant magnetic field B. Particle 1 has a mass of 2m, speed 3v, and unknown charge of q1. Particle 2 has a mass of m, speed v, and a charge with magnitude q2 = +2e. See figure. While in the field, the radius of motion for particle 1 is 3R and the radius of motion for particle 2 is R. See figure. Find B and q1. The knowns are m, v, R, and e.

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

Related questions

Q: a velocity of 5 X 10 m/s at an angle of 60° with an eastward B field. The electron experiences a…

A: Given Velocity of electron v = 5 ×105 m/s Force F = 3.2 × 10-18 N Charge on electron q = 1.6 ×…

Q: An ion with charge q but with unknown mass is accelerated through a potential difference V , and…

A: Introduction: When a moving charge is placed in a magnetic field, a magnetic force acts upon the…

Q: When electrons are discharged from an electron gun, their motion can be controlled by: A additional…

A: Answer 1) The Correct option is C. When the electrons are discharged from an electron gun, their…

Q: A 0.40 µC particle moves with a speed of 19 m/s through a region where the magnetic field has a…

A: It is given that, q=0.40 μC=0.40×10-6 Cv=19 m/sB=0.95 TF=1×10-7 N

Q: A particle with charge - 5.80 nC is moving in a uniform magnetic field B = −( 1.27 T)k. The magnetic…

A: Solution:-Given thatq=-5.80 nC=-5.8×10-9 CB→=-(1.27)k^ TF→=[-(3×10-7)i^+(7.6×10-7) j^] N

Q: A proton moves in the magnetic field B = 0.421 T with a speed of 1.4 x 107 m/s in the directions…

Q: In the figure provided, an electron with speed v = 3.98×107 m/s travels between two parallel charged…

Q: A uniformmagnetic field Bis directed parallel to the z-axis. A proton enters the field with a…

A: Given: Velocity, v →= (4.0 j ^ + 3.0k^)*106 m/s Magnitude of v→,|v| = 42 + 32 *106 m/s…

Q: A cyclotron is a machine with a pair of large disc magnets that is used to store a beam of protons…

A: Step 1: Step 2: Step 3: Step 4:

Q: A particle with a charge of 3 µC is moving at 2,500,000 m/s perpendicularly through a magnetic field…

A: As Magnetic force is given F→=q(v→×B→)And as particle is moving perpendicular to magnetic field then…

Q: You want to determine the mass of an unknown particle, X. You ionize the particle, by removing an…

Q: An particle with charge -e is fired into a magnetic field of B = 1 mT. The velocity of the particle…

A: 1. In a static, unchanging electric field E→ the force on a particle with charge q will be: F→=qE→…

Q: A spectrometer consists of two regions as shown in Figure 4. In the first region electric and…

A: When a charged particle moves in a mutually perpendicular electric and magnetic field, it…

Q: A charged particle is accelerated through a potential of 200.0 volts from rest and achieves a speed…

A: Using Work energy theorem The change in the kinetic energy of the particle is equal to net work done…

Q: Atom 1 of mass 30.3 u and atom 2 of mass 32.7 u are both singly ionized with a charge of +e. After…

A: Atom 1 of mass m and atom 2 of mass m, are both singly ionized with a charge of +q. After being…

Q: a.) The direction of motion of a proton and the B-field are shown by the arrows in the figure. Find…

Q: This positively charged particle has a charge of +25 nC and a velocity of 5300 m/s. It enters a…

A: Charge of particle, q = + 25nC = 25 x 10-9 C The velocity of particle, V = 5300 m/s Electric…

Q: The diagram above shows segments of two long straight wires, carrying currents I1 = 7.97 A and I2 =…

Q: At one instant, a proton is at the origin with a velocity (9 × 106,8 × 106, 4 × 106) m/s. At the…

Q: particle with charge 9.78 x 10^-6 C moves at 8.62 x 10^6 m/s through a magnetic field of strength…

Q: A proton travels through a magnetic field with a strength of 4.40 T and is traveling at a speed of…

Q: The aurora is caused when electrons and protons, moving in the earth's magnetic field of =5.0x10-5…

Q: An electron moves in a straight line at speed 250 m/s along the positive y-axis through uniform…

Q: A negatively charged ion with an excess electron moving with a velocity vy = 1.095 x10³ m/s is…

A: when charge q of mass m moving with speed v is subjected to the magnetic field B then the charge…

Q: An electron in the beam of a TV picture tube is accelerated by a potential difference of 1.94 kV.…

A: We have an electron beam that is accelerated through a potential difference of V=1.94 kV as it…

Q: 7. A particle with charge q and and speed venters a region of magnetic field B1 and is deflected…

Q: A particle with charge 0.350 C is initially traveling at 90.0 m/s along the +y-direction and…

Q: In an old-fashioned television, a beam of electrons is accelerated to a speed of 2.3 × 106 m /s and…

A: Given data: v=2.3×106 m/sd=0.05 mme=9.1×10-31 kgB=1.5×10-4 T

Q: A charged particle is introduced into a uniform magnetic field Bz = 0.5 mTesla with an initial…

Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

Two particles enter a region in space where there is a constant magnetic field B.
Particle 1 has a mass of 2m, speed 3v, and unknown charge of q1. Particle 2 has a mass
of m, speed v, and a charge with magnitude q2 = +2e. See figure. While in the field,
the radius of motion for particle 1 is 3R and the radius of motion for particle 2 is R. See
figure. Find B and q1. The knowns are m, v, R, and e.
radius = 3R
3v
●
B =?
radius= R

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given that:

VIEW

Step 2: Calculation of q1:

VIEW

Step 3: Calculation of B:

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A cyclotron (figure) designed to accelerate protons has an outer radius of 0.333 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 572 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.720 T. The black, dashed, curved lines Alternating AV represent the path of the particles. -Dg After being accelerated, the particles exit here. -North pole of magnet (a) Find the cyclotron frequency for the protons in this cyclotron. 1.04e33 x rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. ev (d) How many revolutions does a proton make in the cyclotron? revolutions (e) For what time interval does the proton accelerate? awranca Barke kay Nationallab
An electron encounters an E and B fields.B field is given by B = 0.1 j T.Electron experiences a force F = (9.6 x 10^-14 i – 9.6 x 10^-14 k)Find the electric field encountered by the electron. The velocity of the electron isv = 5 x 10^6 i m/s.
Some charged particle travels at a constant speed of 12e5 m/s to the right into a magnetic field of strength 1.7 T pointed out of the page. This causes the particle to start traveling in a circular arc of radius 0.315 m. What is the charge to mass ratio (q/m) of this particle 5.23e5 C/kg None of the above 2.24e6 C/kg 2.99e6 C/kg 7.47e5 C/kg
You have placed electrons in a magnetic field. The electrons move in horizontal circles of radius 9.5 cm when their speed is 2.0×10^6 m/s. What is the magnitude and direction of the magnetic field that causes this motion?
An iron (density ρ) rod with length L, cross sectional area A, spans across two parallel, metal train tracks. The tracks are connected to a power supply and have a potential ∆V across them. Between the tracks are placed magnets such that the B-field points directly upwards with strength B. What is the acceleration of the iron rod be the moment it starts from rest? What will acceleration be as a function of speed as it continues? Assume the contact is frictionless between the tracks and the rod so that no force of friction needs to be overcome. What will the top speed of the rod be under these conditions?
A proton is traveling through a region of space containing both a magnetic and electric field. At one instant in time, the velocity is U = (13500 Î + +38500) m/s and the acceleration is a = (4.39 k) x 10 m/s². If B=(9.21 k) mT, what is the magnitude of the electric field? i Save for Later N/C Submit Answer
An electron moves with a speed of 0.01 c through a magnetic field of 30 millliTesla.a. If the electron is moving from east to west, and the field is pointed due north, in what direction will theelectron be deflected?b. What is the force of the deflection?
None