Net Electric field due to 3 charges

However, you must consider the magnitude of each field contribution as well. The total electric field at the origin is 0.87 N/C.In summary, the problem involves finding the electric field at the origin (0,0) due to three point charges located at (-3,0), (0,2), and (1,0) with charges of 3nC, -6nC, and 5nC respectively. Using the equation ##E = \frac{Q}{4 \pi \epsilon_0 r^2}##, the electric field at the origin is calculated to be 0.87 N/C. The different directions of the electric field contributions from each charge must be taken into account, but
  • #1
GayYoda
10
0

Homework Statement


There is a 3nC charge at (-3,0), -6nC at (0,2) and 5nC at (1,0). What is the electric field at the origin (0,0)?

Homework Equations


##E = \frac{Q}{4 \pi \epsilon_0 r^2}##

The Attempt at a Solution


i think its ##(\frac{1}{4 \pi \epsilon_0})(-\frac{14}{3} i - \frac{3}{2} j)## as the charges on the x-axis are both +ve so they will repel each other?
 
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  • #2
Please show how you arrived at your solution. I suspect you need a numerical answer with proper units.

It is true that the field contribution at the origin from each positive charge points in a different direction.
 

Related to Net Electric field due to 3 charges

1. What is the formula for calculating the net electric field due to 3 charges?

The formula for calculating the net electric field due to 3 charges is: E = k * (q1/r1^2 + q2/r2^2 + q3/r3^2), where k is the Coulomb's constant, q1, q2, and q3 are the charges of the particles, and r1, r2, and r3 are the distances from the particles to the point where the electric field is being calculated.

2. How do the directions of the individual electric fields affect the net electric field?

The directions of the individual electric fields can either add up or cancel out, depending on their relative directions. If all three electric fields are pointing in the same direction, they will add up to create a larger net electric field. If two or more electric fields are pointing in opposite directions, they will cancel each other out and result in a smaller or zero net electric field.

3. Can the net electric field be negative?

Yes, the net electric field can be negative. The direction of the electric field is determined by the sign of the charge, so if the charges of the particles are negative, the net electric field will also be negative.

4. How does the distance between the charges affect the net electric field?

The distance between the charges affects the net electric field in an inverse relationship. As the distance between the charges increases, the net electric field decreases. This is because the electric field strength decreases with distance according to the inverse square law.

5. What are some real-life applications of calculating the net electric field due to 3 charges?

Calculating the net electric field due to 3 charges is important in various fields such as electrical engineering, physics, and chemistry. It is used in designing circuits, understanding the behavior of charged particles in an electric field, and predicting the chemical reactivity of molecules. It is also important in understanding the behavior of lightning and other atmospheric electrical phenomena.

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