Basic electrostatics (geometry help)

In summary, electrostatics is a branch of physics that studies the interactions between electric charges at rest, using mathematical concepts and principles to describe and analyze their behavior in space. Electric potential is a measure of the potential energy of a charged particle, while electric field is a measure of the force experienced by a charged particle. Coulomb's Law is used to calculate the force between two point charges in basic electrostatics, and symmetry is used to simplify and solve problems by taking advantage of the symmetrical properties of a system. The geometry of conductors affects the distribution of electric charges, with charges accumulating on sharp points and edges and spreading out evenly on smooth surfaces due to repulsive forces.
  • #1
geft
148
0
Here's the problem: http://i.imgur.com/dS7ZH.jpg

I don't understand why the cosine has to be there. My geometry is a bit rusty, but wouldn't it be enough without the cosine part?
 
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  • #2
E is the vector sum of the 4 E's. The vertical component of each Eo at the point of interest is canceled out by the vertical component there due to an identical charge at one other vertex, leaving only horizontal components to be added. The cos gives you that horizontal component of each E.
 
  • #3
Ah, you're right. Thanks!
 

1. What is electrostatics and how does it relate to geometry?

Electrostatics is the branch of physics that studies the interactions between electric charges at rest. It relates to geometry by using mathematical concepts and principles to describe and analyze the behavior of electric charges in space.

2. What is the difference between electric potential and electric field?

Electric potential is a measure of the potential energy of a charged particle in an electric field, while electric field is a measure of the force experienced by a charged particle in an electric field.

3. How is Coulomb's Law used in basic electrostatics?

Coulomb's Law is used to calculate the force between two point charges, given their magnitudes and distance between them. It is an important tool in basic electrostatics to understand and predict the behavior of electric charges.

4. What is the concept of symmetry in electrostatics?

Symmetry in electrostatics refers to the balance or equality in the distribution of electric charges in a system. It is used to simplify and solve problems by taking advantage of the symmetrical properties of a system.

5. How does the geometry of conductors affect the distribution of electric charges?

The geometry of conductors plays a crucial role in determining the distribution of electric charges on their surfaces. Charges tend to accumulate on sharp points and edges, while they spread out evenly on smooth surfaces due to the repulsive forces between like charges.

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