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Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by?
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Positively charged particle with a charge q enters a region in which t...
Analysis of the Particle's Motion in Electric and Magnetic Fields:
The motion of the positively charged particle in the presence of both electric and magnetic fields can be analyzed using the Lorentz force equation, which takes into account the effects of both fields on the particle's trajectory.
Circle Motion in the x-z Plane:
Given that the orbit of the particle, projected on the x-z plane, is a circle, we can infer that the magnetic force acting on the particle (qvb) must be equal in magnitude and opposite in direction to the electric force (qE) to keep the particle moving in a circular path. This equilibrium between the two forces results in a circular motion in the x-z plane.
Time Period of Revolution (T):
The time taken for the particle to complete one revolution of the circle is known as the time period (T). This time period is determined by the balance between the electric and magnetic forces acting on the particle, which keep it moving in a circular path.
Y-Coordinate of the Particle at t = T:
At t = T, the particle will have completed one full revolution of the circle in the x-z plane. Since the motion is in a circle, the y-coordinate of the particle at t = T will depend on the radius of the circle and the initial conditions of the particle's motion. The y-coordinate can be calculated using the equations of motion for circular motion in the presence of electric and magnetic fields.
In conclusion, the y-coordinate of the particle at t = T will be determined by the balance of forces acting on the particle and the initial conditions of its motion in the electric and magnetic fields.
The motion of the positively charged particle in the presence of both electric and magnetic fields can be analyzed using the Lorentz force equation, which takes into account the effects of both fields on the particle's trajectory.
Circle Motion in the x-z Plane:
Given that the orbit of the particle, projected on the x-z plane, is a circle, we can infer that the magnetic force acting on the particle (qvb) must be equal in magnitude and opposite in direction to the electric force (qE) to keep the particle moving in a circular path. This equilibrium between the two forces results in a circular motion in the x-z plane.
Time Period of Revolution (T):
The time taken for the particle to complete one revolution of the circle is known as the time period (T). This time period is determined by the balance between the electric and magnetic forces acting on the particle, which keep it moving in a circular path.
Y-Coordinate of the Particle at t = T:
At t = T, the particle will have completed one full revolution of the circle in the x-z plane. Since the motion is in a circle, the y-coordinate of the particle at t = T will depend on the radius of the circle and the initial conditions of the particle's motion. The y-coordinate can be calculated using the equations of motion for circular motion in the presence of electric and magnetic fields.
In conclusion, the y-coordinate of the particle at t = T will be determined by the balance of forces acting on the particle and the initial conditions of its motion in the electric and magnetic fields.
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Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by?
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Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by?.
Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by?.
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Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by?, a detailed solution for Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by? has been provided alongside types of Positively charged particle with a charge q enters a region in which there is a uniform electric field e and uniform magnetic field b , both directed parallel to the positive y-axis. at=0, the particle is at the origin and has a speed v directed along the positive x-axis .the orbit of the particle ,projected on the x -z plane, is a circle .let t be the time taken to complete one revolution of the circle . The y- coordinate of the particle at t =T is given by? theory, EduRev gives you an
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