A particle of charge q and mass m is accelerated from rest through a potential difference V, after which it encounters a uniform magnetic field B. If the particle moves in a plane perpendicular to B, what is the radius of its circular orbit?

A particle of charge q and mass m is accelerated from rest through a potential difference V, after which it encounters a uniform magnetic field B. If the particle moves in a plane perpendicular to B, what is the radius of its circular orbit?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter26: Electromagnetism

Section: Chapter Questions

Problem 1STP

See similar textbooks

Related questions

Q: X X XX X X X XX X X X X X X The resistance of a rectangular wire frame measuring 3.0 cm by 8 cm is R…

Q: LAt an instant in time, an electron has velocity, v = 100i - 300j + 200k km/s while it is in a…

Q: At the Fermilab accelerator in Batavia, IL protons having momentum 5.0 x 1016 kg-m/s are held in a…

A: The photon travelling at right angles to a magnetic field B with speed v experiences a force at…

Q: Which of the following combinations of particle charge q and velocity ī, in a magnetic field B,…

A: Force on a charged particle in a magnetic field is given by:- FB→ = q ( v→ × B→ ) here, v→ ×B→ is…

Q: Consider an electron rotating in a circular orbit of radius r. Show that the magnitudes of the…

Q: In the figure, a particle moves along a circle in a region of uniform magnetic field of magnitude B…

A: Given Magnitude of magnetic field, B=4.8 mT=4.8×10-3 TMagnetic force, F=2.9×10-15 N

Q: An alpha particle (consisting of two protons and two neutrons), traveling at a speed of v = 1.7 x…

A: Part (a) The mass m of the alpha particle is, m=2mp+2mn=2mp+mn=21.67262×10-27 kg+1.67493×10-27…

Q: A charged particle moves into a region of uniform magnetic field, goes through half a circle, and…

A: If a particle of charge q enters a region in space under the effect of a uniform magnetic field B→…

Q: Consider two infinitely long straight wires lying in the zy-plane. Wire 1 carries current I in the…

Q: Please help with the attached problem

Q: Part A through D Please, and thank you A -4.60μC charge is moving at a constant speed of…

A: According to company policy, first three parts will be answered. Please ask the rest separately.…

Q: Which of the following combinations of particle charge q and velocity ī, in a magnetic field B,…

Q: An electron moving in the plane of the page at an angle of 30° to the horizontal enters a region…

A: angle=30 degree

Q: Calculate the force F on an electron (charge q = −1.6 × 10^(−19) C) moving with velocity 10^5 m/s in…

A: Given: The charge on the electron is -1.6×10-19 C. The velocity of the electron is 105i m/s. The…

Q: A 3 C charged particle is moving at 1000 m/s, and is subject to a magnetic field of 500 micro-Tesla.…

A: Here the charge of the particle is 3C, velocity is 1000 m/s, and the magnetic field is 500 micro…

Q: A neutral particle is at rest in a uniform magnetic field of magnitude |B|. At time t = 0 it decays…

Q: An electron (charge −e) orbits with speed 2×10^6 [m/s] around a central proton (charge +e, along a…

Q: Figure 6 shows four directions for the velocity vector v of a positively charged particle moving…

A: Given,

Q: A point charge q with mass m moving with a velocity of i = vî enters a uniform magnetic field…

Q: A proton moves in a circular orbit of radius 56 cm, in an external magnetic field of strength 3.7 T.…

A: Let the mass of the proton is denoted by m, the magnetic field strength is denoted by B and the…

Q: Following the previous question, if the particle's speed is 86.2 m/s, and the magnetic field has a…

Q: A -4.30 µC charge is moving at a constant speed of 7.30 × 10° m/s in the +x-direction relative to a…

Q: moving with velocity v in the plane experiences a force F = q(v × B), where q is the charge nd B is…

A: Direction of force acting on charge particles in magnetic field is determined by Fleming's left hand…

Q: Electron A is fired horizontally with speed 1.00 Mm/sinto a region where a vertical magnetic field…

A: Charge on each electron that is electron A and electron B : (q) = - 1.6 × 10-19 C Initial speed of…

Q: A particular type of fundamental particle decays by transforminginto an electron e+ and a positron…

A: The expression for the period of motion of charged particle,

Q: A proton moves in a circular orbit of radius 40 cm, in an external magnetic field of strength 3.8 T.…

Q: A particle with charge q = 1.1 C and a long wire carrying current I = 6 A is on the xy-plane at the…

A: The magnetic field due to the long current carrying conductor is B =μo4π2 Ir Where, r is the…

Q: A particle with a charge -1.24X10-8 C is moving with instantaneous velocity v= |(4.19x104 m/s)i…

A: Given:Charge, q = -1.24×10-8 Cvelocity, v =4.9×104 i^ +-3.85×104 j^magetic field, B = 1.40 k^

Q: A particle of mass m = 1.5 x 10-16 kg and charge q = 2.3 × 10-16 C first accelarates under a…

Q: A particle with charge q = +3.2 x 10-19 C, mass m = 3 x 10-27 kg, and velocity v = vj where vọ = 5 x…

Q: X_X X X X X X X X X y X X X X X X X X X X ne resistance of a rectangular wire frame measuring 1.5 cm…

Q: A proton moves in a circular orbit of radius 24 cm, in an external magnetic field of strength 3.2 T.…

Q: A charged particle enters into a region with a uniform magnetic field B, as shown in the figure. The…

A: time is taken by the particle in magnetic field = 89 ns

Q: Electron A is fired horizontally with speed 1.00 Mm/s into a region where a vertical magnetic field…

Q: A charged particle of mass m and charge +q starts off at the origin of the coordinate system at time…

A: As we know that a charge particle will move in a circular path under the magnetic force. And will…

Q: A charged particle of mass 2 kg and 1 C starts at the origin with velocity 3a, m/s and travels in a…

Q: Consider a uniform magnetic field of magnitude 0.2 T which is directed along the direction of the…

Q: A proton with kinetic energy Kp=1MeV is thrown into a uniform magnetic field. What should be the…

A: Given that For proton Mass is mp and charge is qp Kinetic energy of proton is Kp = 1 MeV For d -…

Q: Same charged particles with masses of m1 = 6·m2 and m2 move with the same velocity and penetrate…

A: We know that radius of a path followed by the charged particle in a magnetic field is given by R…

Q: Two particles have the same linear momentum, but particle A has four times the charge of particle B.…

Q: A rectangular conducting frame has a steady current of the magnitude i. It is placed in a…

Q: five long parallel wires in an xy plane are separated by distance d = 8.00 cm, have lengths of 10.0…

Q: If a charge of 2 Coulombs moves with a velocity of ~v = ˆx + 2ˆy − 4ˆz in a magnetic field defined…

A: Charge: q = 2 C Speed: v = x + 2y − 4z Magnetic feild: B = 2x + y + z

Q: A charged particle moves into a region of uniform magnetic field, goes through half a circle, and…

A: Given, Time = 130 ns

Q: A proton finds itself doing inform circular motion of 1.2 cm rudius due to a uniform 4.5 tesla…

A: The force due to magnetic field balance the centripetal force required for circular motion. The…

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

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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 particle with charge 5nC initially moves with velocity v=(11i +4.22j) m/s.If this particle encounters a magnetic field B=1.20k T Sketch the particles path in the presence of the magnetic field. Include labelled velocity, magnetic field, and magnetic force vectors. Find the magnetic force vector on the particle. Include both magnitide and the direction. Find the radius if the particles circular path, if the mass of the particle is 1.67 milligrams
An electron in a magnetic field moves along a circle with a radius of 34.0 m with a speed that follows:v(t)=v0e−btwhere b = 0.54 s-1 and v0 = 287 m/s. Find the following: The centripetal component of the acceleration at t = 3.9 seconds. The angular acceleration at t = 3.9 seconds. The magnitude of the total acceleration at t = 3.9 seconds. The angular displacement for the electron from t = 0 until t = 3.9 seconds.
The aurora is caused by electrons and protons from the sun that get captured by the earth's magnetic field and spiral into its atmosphere along the direction of the earth's magnetic field. The typical speed of captured electrons is about 0.003c (0.003 times the speed of light), and the typical speed for captured protons is about 20 times smaller. What are the maximum radii of the circular component of these particles' motion around the field direction? What are their orbital frequencies?
The circular particle accelerator at CERN has a radius of about 2.24 km. The accelerator uses strong magnetic fields to steer charged particles in a circle, while electric fields give them more and more energy every time around. Suppose we're steering protons using magnetic fields of magnitude 8.22 T. What would be the magnitude of the momentum, p, of a proton under those conditions? You may assume that the magnetic field involved is perpendicular to the motion of the charges (that's the most efficient configuration).
A 100-kg metallic ball at rest is being pulled by the strange magnetic field of a planet, where the force (in newtons) is given by the km function F (r) = 4p5 Where: r = distance from the planet's surface in km m = object's mass in kg k = 5.00 km5/kg The metallic ball starts at a very distant position from the planet (r → c0) and falls towards the planet. What is the potential function U (r) of the planet? Use the condition lim,. U(r) = 0. 'r→∞ What is the metallic ball's speed (in m/s) once the steel ball is one kilometer above the planet's surface? Justify your answer using your rationale and equations used.
An ion with charge q but with unknown mass is accelerated through a potential difference V , and enters a magnetic field B. After following the semicircular path shown, it lands a distance x from where it entered the magnetic field. Find an expression for the mass of the ion.
Q. 2: The velocity of an electron at an instant moving in a magnetic field B = (3.0 î + 4.0ĵ)mT is given by v = (300 î – 400ĵ)km/s. Calculate the magnetic force acting on the electron. What is the radius of the electron orbit?
two particles with the same charge, but with different masses m2 = 2m1 describe circular trajectories with the same radius in the magnetic field. The impulse of the first particle is: a) twice smaller than the second b) twice as large as the second c) equal to the momentum of the second particle
A negative charge of q = -2.2 * 10-17 C and m = 2.3 * 10-26 kg enters a magnetic field B = 1.9 T with initial velocity v = 270 m/s as shown in the attached image. The magnetic field points into the screen. Express the radius R, of the circular motion in terms of the centripetal acceleration a and the speed v. Calculate the numerical value of the radius R in meters.
An electron in the beam of a TV picture tube is accelerated by a potential difference of 3 kV then it passes through a region of transverse magnetic field, where it moves in a circular arc with radius 15 cm. What is the velocity of the electrons ? (km/s)
A particle is launched from the origin on the ground with an initialvelocity? = (2.40 m/s) ? + (2.00 m/s) ?. The particle falls freely under earth’sgravitational field.
A certain charged particle has a charge q > 0. The particle moves with a kinetic energy K in a circular path of radius R in the presence of a uniform magnetic field of magnitude B. (Use any variable or symbol stated above as necessary.) (a) What is the speed of the particle? Assume the speed is low compared to the speed of light. (b) What is the mass of the particle?