Calculating Electric Field Strength to Stop an Electron

In summary, an electron moving to the right at 3% the speed of light enters a uniform electric field parallel to its direction of motion. To bring the electron to rest within a space of 6.0cm, the strength of the field must be 5.4*10^5 N/C. However, this calculation does not take into account the charge and mass of the electron, so the relativistic mass must be considered in the calculation.
  • #1
mathcrzy
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Homework Statement



An electron moving to the right at 3% the speed of light enters a uniform electric field parallel to its direction of motion. The electron is to be brought to rest in the space of 6.0cm.
What is the strength of the field?______N/C

Homework Equations



F = q * E

The Attempt at a Solution



Speed = .03 * 3*10^8 = 9,000,000
distance = 6cm = .06m

F = .06 * 9,000,000 = 5.4*10^5 = 5.4*10^2 N/C
 
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  • #2
While calculating the field you have not taken into account the charge and mass of the electron. Here you have to take the relativistic mass.
 
  • #3
And that would be 50 * 10^-6 ?
 
  • #4
And that would be 50 * 10^-6 ?
From where did you get this number? What is this?
 

1. How is electric field strength calculated?

Electric field strength is calculated by dividing the force acting on an electric charge by the magnitude of the charge. The equation is E = F/q, where E represents electric field strength, F represents force, and q represents the charge.

2. What is the unit of measurement for electric field strength?

The unit of measurement for electric field strength is newtons per coulomb (N/C). This represents the amount of force per unit charge acting on an electric charge.

3. Can electric field strength stop an electron?

Yes, electric field strength can stop an electron. When an electron enters an electric field, it experiences a force that can cause it to change direction or come to a complete stop depending on the strength and direction of the field.

4. How does the speed of an electron affect the electric field strength needed to stop it?

The speed of an electron does not affect the electric field strength needed to stop it. The electric field strength is solely determined by the force acting on the electron and the magnitude of its charge, not its speed.

5. What are some factors that can affect the electric field strength needed to stop an electron?

The electric field strength needed to stop an electron can be affected by the magnitude of the electric charge creating the field, the distance between the electron and the charge, and the presence of other charges or objects in the surrounding area that may alter the direction or strength of the field.

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