Determining the electric field at point a and b, stuck on finding resultant E

In summary, the two charges are 12 cm apart and the resultant field intensity at point B is .240x10^4 N/C.
  • #1
mr_coffee
1,629
1
Hello everyone, I'm having problems finding The resultant intensity at point b, i know its the vector sum of E1 and E2. q1 = -6x10^-9; q2 = 6x10^9 they are 12cm apaprt. Determine the electrict field at A and B, i already figured out A. This is the free body diagram.


^ E2
..\
...\
...(B)
...|
...|
...v E1





(q1)----------------------------------(q2)


The angle that E2 forms is a 37 degree angle.
E1 is 9cm from q1.
Point B is 15 cm from q2 diagnoally.

Okay I figued the field intensity at B due to q1 is directed downward and is equal to
E1 = kq1/r^2 = -[(9x10^9)(6x10^-9)]/(9x10^-2m)^2;
E1 = -.667x10^4 N/C;

To find E2
E2 = [(9x10^9)(6x10^-9)]/(15x10^-2m)^2;
E2 = .240x10^4N/C 37 degree N of W.


Now this is where I get lost...
I need to find the X and Y component of E2 which seems easy enough...but i f it up anyways.

So i figure, you have a triangle that looks like this:

^
|E2y
| 37 degrees
<------
E2x

E2y = E2*sin37;
E2x = E2*cos37;

E2x = -.192x10^4 N/C
E2y = .144x10^4 N/C

They did the following:

Ex = -E2x = -(.240x10^4 N/C)*cos37;
Ex = -.144x10^4 N/C; //is this a misprint? :bugeye:

Thanks.
 
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  • #2
mr_coffee said:
They did the following:

Ex = -E2x = -(.240x10^4 N/C)*cos37;
Ex = -.144x10^4 N/C; //is this a misprint? :bugeye:
Looks like a misprint to me. It's obviously wrong. (.240x10^4)*cos37 does not equal .144x10^4 !

What book are you using?
 
  • #3
just aside, in the future you might want to use a scanner to illustrate the diagrams by posting it as an attachment.
 
  • #4
GCT said:
just aside, in the future you might want to use a scanner to illustrate the diagrams by posting it as an attachment.

hah good thinking! The book is called Applied physics, it was published in 1979 :rolleyes: I'm trying to polish up in physics so i don't screw up physics 212 when i go back in the fall.

I also had another question about the problem...
If the problem only gives the distance from the 2 charges, 12cm...how did they figure out:

#1. The angle 37 degrees
#2. The distance from point B to charge 2?
 
  • #5
mr_coffee said:
I also had another question about the problem...
If the problem only gives the distance from the 2 charges, 12cm...how did they figure out:

#1. The angle 37 degrees
#2. The distance from point B to charge 2?
If all they gave was the distance between the two charges, then you couldn't figure out the angle. But they also give you the fact (I assume) that point B is 9cm above q1. Thus you have two sides of a right triangle: the bottom is 12, the left side is 9. You have all you need to figure out the angle and the hypotenuse of that triangle (which is the distance from B to q2) using a little trig (or the Pythagorean theorem).

This particular right triangle is a popular one: The sides are in the ratio of 3-4-5, thus it's often called the "3-4-5 right triangle". :smile:
 
  • #6
Thanks for the info! I really gota work on my trig!
 
  • #7
Thanks...work on my trig!
...and vectors
 

FAQ: Determining the electric field at point a and b, stuck on finding resultant E

What is an electric field?

An electric field is a physical field that is produced by electrically charged objects. It is a vector field, meaning that it has both magnitude and direction, and it exerts a force on other charged particles within its range.

How is the electric field at a point determined?

The electric field at a point is determined by calculating the force that would be exerted on a unit charge placed at that point. This is done by taking into account the magnitude and direction of the electric field generated by all nearby charged objects.

What factors affect the magnitude and direction of the electric field at a point?

The magnitude and direction of the electric field at a point are affected by the distance from the charged object, the amount of charge on the object, and the presence of any other nearby charged objects. The electric field also follows the inverse square law, meaning that its strength decreases with distance from the source.

How is the resultant electric field calculated at point A and B?

To calculate the resultant electric field at point A and B, you need to determine the individual electric fields at those points and then add them together vectorially. This means that you need to take into account both the magnitude and direction of each electric field.

What are some common methods for finding the resultant electric field?

Some common methods for finding the resultant electric field include using vector addition, using Coulomb's law, and using Gauss's law. Each method has its own advantages and may be more suitable for different scenarios.

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