How Is the Electric Field Calculated at the Third Vertex of a Triangle?

In summary, the electric field at the third vertex can be calculated using the formula E=kq/r^2. By plugging in the given values, the electric field can be broken down into x and y components. In this case, the x component is 7.78556838*10^13 N/C and the y component is 4.495*10^13 N/C. After adding these components together, the overall electric field is 8.99*10^13 N/C. However, it is important to double check the calculations to avoid errors.
  • #1
skg94
79
0

Homework Statement


What is the electric field at the third vertex.

http://tinypic.com/r/350toif/6


edit- not working actual link works = http://tinypic.com/r/350toif/6

Homework Equations


E=kq/r^2

The Attempt at a Solution


E1= (labeled on the diagram) = (8.99*10^9)(4)/(.02)^2 = 8.99*10^13
E2 = same, since equal triangle

E1x= 8.99*10^13cos60=7.78556838*10^13
E1y= " sin60 = 4.495*10^13

Now if my theory is right, this x and y are n of e so both are positive.

E2x= -7.78556838*10^13
E2y= 4.495*10^13

Ex= E1x+E2x=0
Ey=E1y+E2y=8.99*10^13
[itex]\sqrt{Ex^2+Ey^2}[/itex] = 8.99*10^13

which isn't the answer i don't know where I've gone wrong

answers on the picture, 1.56*10^14 N/c
 
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  • #2
skg94 said:
E1x= 8.99*10^13cos60=7.78556838*10^13
E1y= " sin60 = 4.495*10^13

You have it set up correctly. Somehow you switched the final numerical answers for the x and y components.
 
  • #3
TSny said:
You have it set up correctly. Somehow you switched the final numerical answers for the x and y components.

OH nvm ignore that, i got it thanks stupid mistake
 

Related to How Is the Electric Field Calculated at the Third Vertex of a Triangle?

1. What is an electrostatic field?

An electrostatic field is a field of force created by stationary electric charges. It is a type of force field that surrounds charged particles and extends into the space around them.

2. How is an electrostatic field different from an electric field?

An electrostatic field is a type of electric field that is created by stationary charges. It is different from an electric field, which can be created by both stationary and moving charges.

3. How is the strength of an electrostatic field measured?

The strength of an electrostatic field is measured by the electric field intensity, which is the force per unit charge experienced by a small test charge placed in the field.

4. How is an electrostatic field affected by the distance between charges?

The strength of an electrostatic field decreases as the distance between charges increases. This is known as the inverse-square law, which states that the intensity of the field is inversely proportional to the square of the distance between charges.

5. How does an insulator differ from a conductor in terms of electrostatic fields?

An insulator is a material that does not allow electrons to move freely, while a conductor is a material that allows electrons to move freely. This difference affects the behavior of electrostatic fields, as charges can accumulate on the surface of conductors but not on insulators.

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