Help with 3 Electro-Exercises: Q, R, r, v, q

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In summary, the first exercise involves determining the electric and potential fields for a system consisting of a charged sphere surrounded by a spherical conductor crown. The second exercise involves finding the minimum distance between two protons, one of which is fired towards the other with a given speed. The third exercise involves finding the necessary intensity and direction of a vertical electric field to hold a charged particle in equilibrium.
  • #1
claudiadeluca
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The physical terms might not be the right english ones, I am not english. I hope you will understand anyway. I need help with the 3 following exercises, if anyone could dedicate some time to them I would be really grateful. Thank you.

1) Determine the electric and potential fields in all the space for a system composed of a sphere of radius=R, equally charged with charge=Q, surrounded by a spherical conductor crown with internal radius=R and external radius=r.

2) A proton is fired toward another proton, which is steady at a great distance, with speed v= 2.4 * 10^8 m/s. Find the minimal distance between the two protons.

3) We have a vertical electric field. How intense must it be and what direction must it have to hold a particle in equilibrium? The particle has mass = 10^-8 g and is charged with q= 1.7 * 10^-9 C.

Thank you very much in advance.
 
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  • #2
1- 1- I do not understand the geometry of the problem. What is the shape of the crown? Are there simply two concentric spheres?
2- Move to the frame of the center of mass of the two protons. Compute the kinetic energy of both. Compute the distance at which the potential energy is equal to the original kinetic energy. Beware! the speed is relativistic. The CM and the energy must be calculated with the relativistic formulas.
3- The force of the particle is qE and must be equal to the weigh of the particle.
 

FAQ: Help with 3 Electro-Exercises: Q, R, r, v, q

What are electro-exercises Q, R, r, v, and q?

Electro-exercises Q, R, r, v, and q are specific exercises that involve the use of electricity to stimulate muscles in order to improve strength, endurance, and overall physical performance. These exercises are often used in rehabilitation and athletic training programs.

How do electro-exercises Q, R, r, v, and q work?

During electro-exercises, small electrical pulses are delivered through electrodes placed on the skin over targeted muscles. These pulses cause the muscles to contract, mimicking the same action that occurs during voluntary muscle contractions. This repetitive contraction and relaxation of the muscles can lead to improved muscle strength and endurance.

What are the benefits of electro-exercises Q, R, r, v, and q?

The benefits of electro-exercises include improved muscle strength, endurance, and overall physical performance. These exercises can also be used to aid in injury rehabilitation and pain management. Additionally, they can be helpful for individuals with limited mobility or those recovering from surgery.

Are there any risks or side effects associated with electro-exercises Q, R, r, v, and q?

As with any form of exercise, there are some risks associated with electro-exercises if not performed correctly. These include skin irritation or burns from the electrodes, muscle soreness, and fatigue. It is important to follow proper safety guidelines and consult with a professional before starting any electro-exercises.

Can anyone perform electro-exercises Q, R, r, v, and q?

Electro-exercises can be performed by most people, but it is important to consult with a doctor or physical therapist before starting. These exercises may not be suitable for individuals with certain medical conditions or those who are pregnant. Additionally, proper technique and safety precautions must be followed to prevent injury.

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