A particle with charge 1.70 C moves through a uniform magnetic field. At one instant the velocity of the particle is(3.50i + 2.50j + 4.50k) m/s and the magnetic force on the particle is (14.5i – 26.4j + 3.40k) N. The x and y components of themagnetic field are equal. What are (a) the x-component, (b) the y-component, and (c) the z-component of B?(a) NumberUnit(b) NumberUnit(c)NumberUnit

Answered: Image /qna-images/answer/b6c08f5e-4cc0-4019-ba18-7533009d30de.jpg

A particle with charge 1.70 C moves through a uniform magnetic field. At one instant the velocity of the particle is (3.50i + 2.50j + 4.50k) m/s and the magnetic force on the particle is (14.5î- 26.4j + 3.40k) N. The x and y components of the magnetic field are equal. What are (a) the x-component, (b) the y-component, and (c) the z-component of B? (a) Number Unit (b) Number Unit (c) Number Unit

A particle with charge 1.70 C moves through a uniform magnetic field. At one instant the velocity of the particle is (3.50i + 2.50j + 4.50k) m/s and the magnetic force on the particle is (14.5î- 26.4j + 3.40k) N. The x and y components of the magnetic field are equal. What are (a) the x-component, (b) the y-component, and (c) the z-component of B? (a) Number Unit (b) Number Unit (c) Number Unit

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 66AP: At a particular instant an electron is traveling west to east with a kinetic energy of 10 keV....

See similar textbooks

Related questions

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

A: Given, B= 3.5 mT= 3.5×10-3 TF= 2.9×10-15 N

Q: A particle of mass 11.3 g and charge 91.5 µC moves through a uniform magnetic field, in a region…

A: Mass of the particle, m = 11.3 g=> m = kg=> m = 0.0113 kgCharge, q = 91.5μC=> q = C=> q…

Q: A charged ion enters a region of uniform magnetic field B with a speed of = 2.5×10> m/s. The ion…

A: Given : Speed=v=2.5x105 m/s Radius=r=9.1 mm =9.1x10-3 m Mass to charge ratio=(m/q)=0.41x10-8 kg/C In…

Q: An electron moves at some instant of time in +x direction with velocity of 2.4x10^2m/s. A magnetic…

A: Given : Velocity of electron, v = 2.4x102 m/s direction is positive x direction Magnitude of…

Q: One component of a magnetic field has a magnitude of 0.0244T and points along the +x axis, while the…

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

A: Let the particle be electron. The magnetic field is directed into the page. Hence, the angle between…

Q: A point charge of q-46.0 µC moves with a velocity of v-(3.0 i+4.0 j) *10 m/s in a uniform magnetic…

Q: A proton moves through a uniform magnetic field given by B = (10i - 20j +30k) mT. At time t1, the…

A: Given Magnetic field Velocity Force

Q: A proton travels through a region of uniform magnetic field at an angle θ relative to the magnetic…

A: Mass of proton (m) = 1.67×10-27 kg Charge of proton (q) = 1.6×10-19 C Magnetic field strength (B) =…

Q: A particle with a charge of 31 μC moves with a speed of 76 m/s in the positive x direction. The…

Q: n travels with a speed of 5 × 10^6 m/s in a direction that makes an angle of 60 degrees with the…

A: Given values:- Velocity of proton,(v)=5 x 106 m/sec ----(1) Angle,(θ)=600 ----(2) Magnetic…

Q: A particle of mass 8.3 × 10-8 kg and charge +7.3 μC is traveling due east. It enters perpendicularly…

A: Given Data:- Mass of the particle is m=8.3×10-8 kg. Charge of the particle is q=+7.3 μC =+7.3…

Q: A proton moves through a uniform magnetic field given by B = (9.74i - 26.8j +27.5k) mT. At time t1,…

A: Given : Magnetic field, B = (9.74i - 26.8j +27.5k) mT Velocity of proton, v = vxi + vxj + (2.08…

Q: A particle with a charge of -1.24 x 10^-8 C is moving with instantaneous velocity v = (4.19x10^4…

Q: A particle with charge 1.60 C moves through a uniform magnetic field. At one instant the velocity of…

A: What are (a) the x-component, (b) the y-component, and (c) the z-component of magnetic…

Q: A proton moving at 3.7×104 m/s horizontally enters a region where a magnetic field is directed…

A: given data speed of proton = 3.7*10^4 m/s magnitude of force = 9.1*10^-16 N magnitude of the…

Q: A particle with a charge of q = - 1.24 x 10-8C is moving with instantaneous velocity v=1.42 x 104…

Q: An electron that is moving through a uniform magnetic field has a velocity v = (46 km/s)i + 40…

A: Given DataVelocity of the electron v→ = 46 km/si^ +40 km/sj^Force on the electron is F→ =…

Q: A 3.25 g bullet picks up an electric charge of 1.65 µC as it travels down the barrel of a rifle. It…

A: Given data: Mass of bullet, m=3.25 g=3.25×10-3kg Electric charge, q=1.65 μC=1.65×10-6C Speed, v=425…

Q: Three particles, each with a charge of 8.8 μC and a speed of 450 m/s, enter a uniform magnetic field…

Q: A proton moves perpendicularly to a mag- netic field that has a magnitude of 3.00 × 10−2 T. The…

Q: You have placed electrons in a magnetic field. The electrons move in horizontal circles of radius…

Q: The earth's magnetic field is about 45 micro Tesla (μT) and points approximately due north. What is…

A: Given Magnitude of the Earth's magnetic field is B=45 μT=45×10-6 T and direction of the magnetic…

Q: A proton travels through uniform magnetic and electric fields. The magnetic field is B: = -2.50iˆ mT…

Q: An electron is moving with a speed of 3.5 × 105m/s when it encounters a magnetic feld of 0.60 T. The…

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 particle with charge q = 1C and a long wire carrying current I = 4 A is on the xy-plane at the…

A: Given that Charge q = 1 C Current in wire I = 4 A Distance d = 0.3 cm = 0.003 m Velocity of charge…

Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

A particle with charge 1.70 C moves through a uniform magnetic field. At one instant the velocity of the particle is
(3.50i + 2.50j + 4.50k) m/s and the magnetic force on the particle is (14.5i – 26.4j + 3.40k) N. The x and y components of the
magnetic field are equal. What are (a) the x-component, (b) the y-component, and (c) the z-component of B?
(a) Number
Unit
(b) Number
Unit
(c)
Number
Unit

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of 2.00 C is moving with a velocity of 150iMm/s along the line (y = 0.100 m, z = 0). Calculate the vector magnetic force acting on the particle. (c) What If? A uniform electric field is applied to allow this particle to pass through this region undetected. Calculate the required vector electric field.
Two infinitely long current-carrying wires run parallel in the xy plane and are each a distance d = 11.0 cm from the y axis (Fig. P30.83). The current in both wires is I = 5.00 A in the negative y direction. a. Draw a sketch of the magnetic field pattern in the xz plane due to the two wires. What is the magnitude of the magnetic field due to the two wires b. at the origin and c. as a function of z along the z axis, at x = y = 0? FIGURE P30.83
A particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is horizontal and directed from east to west. (a) If the particle is deflected initially to the north in a circular arc, is its charge positive or negative? (b) If B = 0.25 T and the charge-to-mass ratio (q/m) of the particle is 40107 C/kg. what is ±e radius at the path? (c) What is the speed of the particle after c has moved in the field for 1.0105s ? for 2.0s?
In Figure P22.43, the current in the long, straight wire is I1 = 5.00 A and the wire lies in the plane of the rectangular loop, which carries a current I2 = 10.0 A. The dimensions in the figure are c = 0.100 m, a = 0.150 m, and = 0.450 m. Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire. Figure P22.43 Problems 43 and 44.
A spacecraft is in 4 circular orbit of radius equal to 3.0 104 km around a 2.0 1030 kg pulsar. The magnetic field of the pulsar at that radial distance is 1.0 102 T directed perpendicular to the velocity of the spacecraft. The spacecraft is 0.20 km long with a radius of 0.040 km and moves counter-clockwise in the xy-plane around the pulsar. (a) What is the speed of the spacecraft? (b) If the magnetic field points in the positive z-direction, is the emf induced from the back to the front of the spacecraft or from side to side? (c) Compute the induced emf. (d) Describe the hazards for astronauts inside any spacecraft moving in the vicinity of a pulsar.
An electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's field, which has a strength of 5.0105 T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a collection,)
A magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see Fig. P23.28). When t = 3.00 s and r2 = 0.020 0 m, what are (a) the magnitude and (b) the direction of the electric field at point P2?
Why is the following situation impossible? Figure P28.46 shows an experimental technique for altering the direction of travel for a charged particle. A particle of charge q = 1.00 C and mass m = 2.00 1015 kg enters the bottom of the region of uniform magnetic field at speed = 2.00 105 m/s, with a velocity vector perpendicular to the field lines. The magnetic force on the particle causes its direction of travel to change so that it leaves the region of the magnetic field at the top traveling at an angle from its original direction. The magnetic field has magnitude B = 0.400 T and is directed out of the page. The length h of the magnetic field region is 0.110 m. An experimenter performs the technique and measures the angle at which the particles exit the top of the field. She finds that the angles of deviation are exactly as predicted. Figure P28.46
In Niels Bohr’s 1913 model of the hydrogen atom, the single electron is in a circular orbit of radius 5.29 × 10−11 m and its speed is 2.19 × 106 m/s. (a) What is the magnitude of the magnetic moment due to the electron’s motion? (b) If the electron moves in a horizontal circle, counterclockwise as seen from above, what is the direction of this magnetic moment vector?
At a particular instant an electron is traveling west to east with a kinetic energy of 10 keV. Earth's magnetic field has a horizontal component of 1.8105 T north and a vertical component of 5.0105 T down. (a) What is the path of the election? (b) What is the radius of curvature of the path?
One common type of cosmic ray is a proton traveling at close to the speed of light. If the proton is traveling downward, as shown in Figure P30.14, at a speed of 1.00 107 m/s, what are the magnitude and direction of the magnetic field at point B?
The velocity vector of a singly charged helium ion (mHe = 6.64 1027 kg) is given by v=4.50105m/s. The acceleration of the ion in a region of space with a uniform magnetic field is 8.50 1012 m/s2 in the positive y direction. The velocity is perpendicular to the field direction. What are the magnitude and direction of the magnetic field in this region?