How Do Electric Fields Influence Electron Movement and Force Calculations?

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In summary: E=k_e*q/r^2, where k_e is the Coulomb's constant, q is the charge of the dome, and r is the radius of the dome. In summary, to find the magnitude of the electric field strength inside the dome for problem 18, we would use the formula E=k_e*q/r^2, where k_e is the Coulomb's constant, q is the charge of the dome, and r is the radius of the dome. To find the magnitude of the electric field strength at the surface of the dome, we would use the same formula with r being equal to the radius of the dome.
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mustang
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Problem 3.
Given: k_e=8.98755*10^9 Nm^2/C^2 and g=9.81m/s^2.
An electron is released above the Earth's surface. A second electron directly below it exerts just enough of an electric force on the first electron to cancel the gravitational force on it.
Find the distance between the two electrons?
Note: What formula would you use?

Problem 18.
Given: k_e=8.98755*10^9Nm^2/C^2.
The dome of a van de Graaff generator receives a charge of .6*10^-4 C. The radius of the dome is 5.7m.
Find the magnitude of the electric field strength inside the dome. In units of N/C.
Note: What formula would you use and what to do first?

Problem 21.
Thunderstorms can have an electric field of up to 3.37*10^5 N/C.
What is the magnitude of the electric force on an electron in such a field?
Note: What would I do first?
 
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  • #2
Use Coulombs law , use the relation between Electric field and Force
 
  • #3
For problem 18

For problem 18 then of having to find magnitude of the electric field strength inside the dome how would I find the magnitude of the electric field strength at the surface of the dome and the magitude of the electric field strength at the surface of the dome?
 
  • #4
Have you learned Gauss's law?

Is there any charge inside the dome?
 
  • #5
No I haven't learned Gauss' law.
There is 0 electric field strength inside the dome,
 

1. What is an electric field?

An electric field is a physical quantity that describes the influence that an electric charge has on other charges in its vicinity. It is a vector field, meaning it has both magnitude and direction.

2. How is an electric field calculated?

The electric field at a point is calculated by dividing the force acting on a test charge at that point by the magnitude of the test charge. The formula is E = F/q, where E is the electric field, F is the force, and q is the test charge.

3. What are some common types of electric field problems?

Some common types of electric field problems include calculating the electric field at a point due to one or more charged particles, determining the electric field between two parallel plates, and finding the electric field inside a charged sphere.

4. How does the presence of conductors and insulators affect electric fields?

Conductors have free electrons that can move easily, so they tend to have a uniform electric field throughout. Insulators, on the other hand, have tightly bound electrons and tend to have a non-uniform electric field. The presence of conductors or insulators can also alter the direction and strength of an electric field.

5. What is the significance of electric field problems in real-world applications?

Electric field problems are crucial in understanding the behavior of charged particles and the interaction between charges in various systems. They have applications in technology, such as designing electrical circuits and devices, as well as in understanding natural phenomena, such as lightning and the aurora borealis.

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