Motion of Charged Particles

In summary, the conversation discussed the setup of two charged metal plates with an electric field between them, and the trajectory of a positively charged particle that is released from the center of the bottom plate. The particle has an initial speed and angle, and the questions asked include describing the trajectory, determining which plate the particle strikes, and where it strikes in relation to its starting point. The solution involves finding the acceleration, determining the projectile motion, and using kinematic equations to find the maximum height, time of flight, and range of the particle.
  • #1
lha08
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Homework Statement


Two horizontal metal plates, each 100 mm square, are aligned 10 mm apart, with one above the other. They are given equal-magnitude charges of opposite sign so that a uniform downward electric field of 2000 N/C exists in the region between them.
A particle of mass 2.00 X 10^-16 kg and with a positive charge of 1.00 X 10^-6 C leaves the center of the bottom negative plate with an initial speed of 1.00X 10^5 m/s at an angle of 37 degrees above the horizontal.
a) Describe the trajectory of the particle.
b) Which plate does it strike?
c) Where does it strike, relative to its starting point?


Homework Equations





The Attempt at a Solution


So firstly, I found the acceleration, which is -1X10^13 m/s^2. So that means that the trajectory first approaches the positive plate and then the acceleration pulls in down towards the positive plate. Does this make sense?
And for b) and c)...I don't know where to start...
 
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  • #2
The particle describes the projectile motion.
Find the vertical and horizontal components of the velocity of the projection.
Using the kinematic equations, find maximum height reached, time of flight and range of the particle.
 

What is the motion of charged particles?

The motion of charged particles refers to the movement of particles that have an electric charge. This motion can be affected by electric and magnetic fields.

What is the relationship between electric and magnetic fields and the motion of charged particles?

Electric and magnetic fields can exert forces on charged particles, causing them to accelerate or change direction. This relationship is described by the Lorentz force law.

How does the velocity of a charged particle affect its motion?

The velocity of a charged particle can determine the shape and direction of its motion. For example, particles with high velocity can spiral around magnetic field lines, while particles with low velocity may move in a straight line.

What is the difference between uniform and non-uniform motion of charged particles?

Uniform motion refers to a constant speed and direction, while non-uniform motion involves changes in speed or direction. In the context of charged particles, non-uniform motion can occur when the particles are subject to varying electric or magnetic fields.

What are some real-world applications of understanding the motion of charged particles?

Understanding the motion of charged particles is essential in many fields, such as particle accelerators, semiconductors, and plasma physics. It also plays a crucial role in technologies like MRI machines, particle detectors, and electric motors.

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