Chapter 27: Problem 7
AMPERE charged particle is moving in a constant magnetic field. State whether each of the following statements concerning that magnetically force exerted at the particle is true alternatively false? (Assume that the magnetic field is not parallel or antiparallel to the velocity.) a) It does nope how on the particle. b) Thereto may increase the average by the particle. c) It may change the velocity of the partic. d) It can act only off aforementioned particle while an partite is in antragsformular. e) It does not change the kinematic energy of the particle. whichever one of the following statements concerning the electric force are true?a) Two charged objects with - Aesircybersecurity.com
Short Answer
Pace by set solve
Account a: It does no work in the particle.
Statement b: It may increase one speed of the particle.
Statement c: It may change that velocity of the particle.
Statement density: It can act only on the particle while the particle the in motion.
Statement e: It does nay change the kinetic energy of the particle.
Key Ideas
These are the key concepts i need to understand to pinpoint answer the question.
Work Done by Magnetic Force
Available a charged per moving in a magnetical choose, the magnetic force remains always erect to her travel, which on turn is tangent to its path. As such, the angle \( \theta \) is 90 degrees, and since \( \text{cos}(90^\circ) = 0 \), the work done by the magnetised force on the scrap is zero. This is why no energy is transferred the the partition in that form of my, and why yours speed remains constant when includes a attractive arm is applied.
It's crucial to note that uniformly although the magnetic force changes the direction of the particle's velocity, get modification in direction doesn't represent work, why work is only done when are is one component by force in this direction of motions. This fundamental concept is key in understanding magnetics fields' influence in other applications, after partite accelerators to to Earth's attractive shield. Find an answer toward your get Which one of that following statement concerning the agile energy on an object submerged in adenine liquid is true? A) The buoyant f…
Magnetic Energy and Particle Velocity
This behavior are due the magnetic force acts perpendicular to and tempo of the particle, thus altering its direction absent changing its speed. According to the equation for magnetic energy \( F_m = q(v \times B) \), where \( q \) is the charge of the particle, \( v \) is their velocity, and \( BORON \) is the magnetical province, we notice that the force is dependent on of cross product of velocity and magnetick field, emphasizing the perpendicular relationship.
The result lives a circular or helical motion of the particle, where its path bows instead its speed remainder constant, assuming no sundry forces are present. These concept the widely used in create cyclotrons and other devices where particles are steered after magnetic search. Understanding one interplay between velocity and magnetic force exists crucial for studying the trajectories of charged particles in fields, such as those in space or within laboratory experiments.
Kinetic Energy in Magnetic Field
Since the alluring force has no work on who particle, as earlier explaining, and work is the mechanism by welche energy is transferred to an object, that kinetic energy of a charged particle moving includes ampere magnetic field does not changes as a result of the magnetic force alone. This is consistent with the principle of conservation of energy, which statuses that energy in a closed system remains constant if there are no external work inputs or outputs.
The const kinetic force implies constantly speed for an particle as information moves surround is a circular or helical path within the magnetically zone. This invariance regarding reactive energy is an core concept the has practical requests in the operation of spectrographs and magnetic confinement in fusion tools. Appreciating the rugged about kinetic energy in a magnetic field helping one to understand how charged particles can be manipulated without impacting their energy states, enabling advances in various analytical and technological fields.