Mastering physics: electric field of point charges

In summary, two point charges are placed on the x axis, with the first charge q1=8.00 located at a distance of 16.0m from the origin along the positive x axis and the second charge q2=6.00 located at a distance of 9.00m from the origin along the negative x axis. The task is to calculate the electric field at point A, with coordinates (0m, 12.0m), and express the x and y components as an ordered pair in Newtons per coulomb. To solve this, the equation E=kq/r^2 can be used, with k being a constant equal to 9x10^9 and r being the distance from the
  • #1
silver421
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Homework Statement



Two point charges are placed on the x axis. The first charge, q1= 8.00 , is placed a distance 16.0m from the origin along the positive x axis; the second charge, q2= 6.00 , is placed a distance 9.00m from the origin along the negative x axis.

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Calculate the electric field at point A, located at coordinates (0m , 12.0 m).
Give the x and y components of the electric field as an ordered pair. Express your answer in Newtons per coulomb to three significant figures.

EAx, EAy=________________________ N/C



Homework Equations





The Attempt at a Solution



 
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  • #2
can you please show your attempt of solution so we can help!
 
  • #3
i don't know which equations to use
 
  • #4
E = kq/r^2
Where E is the electric field, k is a constant = 9x10^9, r is the distance from the charge to the point where you want to find the electric field..

Find the electric field produced from q1 at point A , then find the electric field from q2 at point A .. Add them together to get the total electric field at that point ..

Note: the electric field is a vector, when you add you should use vector addition..

I hope it is clear enough for you start solving the question..
 
  • #5
For these types of problems could someone please explain how you find which of the components x or y cancel. Also how can you tell if E_1 and E_2 are negative or positive? I am pretty sure i found E_1 and E_2 i just don't understand how you can tell to add both together or subtract one from the other.
 

FAQ: Mastering physics: electric field of point charges

What is the electric field of a point charge?

The electric field of a point charge is a measure of the force exerted on a charged particle at any point in space due to the presence of the point charge. It is a vector quantity, meaning it has both magnitude and direction, and is defined by the equation E = kQ/r^2, where k is the Coulomb's constant, Q is the charge of the point charge, and r is the distance between the point charge and the particle.

How do I calculate the electric field of multiple point charges?

To calculate the electric field of multiple point charges, you can use the principle of superposition. This means that the total electric field at any point is the vector sum of the individual electric fields produced by each point charge. You can use the same equation E = kQ/r^2 for each point charge, and then add the resulting electric fields together to find the total electric field at a particular point.

What is the relationship between electric field and electric potential?

Electric field and electric potential are related by the equation E = -∇V, where ∇V represents the gradient of electric potential. This means that the electric field is the negative of the rate of change of electric potential in a given direction. In other words, the electric field points in the direction of decreasing electric potential.

How does the electric field change with distance from a point charge?

The electric field of a point charge follows an inverse-square law, meaning that as the distance from the point charge increases, the electric field decreases by the square of the distance. This can also be seen in the equation E = kQ/r^2, where r is in the denominator. Therefore, the farther away you are from a point charge, the weaker the electric field will be.

Can the electric field of a point charge ever be zero?

Yes, the electric field of a point charge can be zero at a point where the distance from the point charge is infinite. This is because as r approaches infinity in the equation E = kQ/r^2, the electric field approaches zero. Additionally, the electric field can be zero at points along the line connecting two opposite point charges, known as the equidistant points, as the electric fields from each point charge cancel each other out.

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