Electric Field Strength charges

In summary, Charge B and C will have the largest force between them if placed one cm apart due to the fact that they have the greatest number of electric field lines, indicating a stronger charge.
  • #1
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Homework Statement


Charge A has 10 electric field lines coming out, Charge B has 20 lines coming out, and Charge C has 30 lines coming in. Which pair of these charges will have the largest force between them if placed one cm apart?


Homework Equations





The Attempt at a Solution


Is it B and C just because they have the most amount of lines??
 
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  • #2
Yes. WHen drawing electric field lines, the number of lines are only a relative quantification of the field strength. If field lines are properly drawn, then 3 x the number of lines emanating from a charge indicates a charge 3 x as great.
 
  • #3


This is not necessarily the correct answer. The number of electric field lines does not determine the strength of the force between two charges. The correct answer depends on the magnitude of the charges and the distance between them. The electric field strength is directly proportional to the magnitude of the charges and inversely proportional to the square of the distance between them. Therefore, in order to determine which pair of charges will have the largest force between them, we need to know the magnitude of the charges and the distance between them. Simply counting the number of electric field lines is not enough to determine the strength of the force.
 

1. What is electric field strength?

Electric field strength is a measure of the intensity of an electric field at a specific point. It is defined as the force per unit charge that would be exerted on a test charge placed at that point in the electric field.

2. How is electric field strength calculated?

Electric field strength is calculated by dividing the force (in Newtons) acting on a test charge by the magnitude of the test charge (in Coulombs). The resulting unit is Newtons per Coulomb (N/C).

3. What factors affect electric field strength?

The two main factors that affect electric field strength are the magnitude of the source charge and the distance between the source charge and the point in the electric field being measured. The larger the source charge and the closer it is to the point, the stronger the electric field will be.

4. What is the direction of electric field strength?

Electric field strength is a vector quantity, meaning it has both magnitude and direction. The direction of electric field strength is always in the direction that a positive test charge would move when placed in the electric field. This is from positive to negative charges.

5. How is electric field strength related to electric potential?

Electric field strength and electric potential are closely related. Electric potential is the amount of work needed to move a test charge from one point to another in an electric field. Electric field strength is the force acting on the test charge at a specific point. The relationship between the two is that electric field strength is the negative gradient of electric potential, meaning it is the change in potential over a specific distance. In other words, electric field strength is the driving force that causes a change in electric potential.

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