Question
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Two point charges are placed as follows: charge is at and charge is at the
onigin. What is the total force (magnitude and direction) exerted by these two charges on a negative point charge q
-3.00 nc located at ?

Ask by Campos Vaughn. in the Philippines
Jan 23,2025

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Tutor-Verified Answer

Answer

The total force on the negative charge is approximately directed to the left along the x-axis.

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Bonus Knowledge

To find the total force exerted by the two charges on the negative charge located at , we can use Coulomb’s Law, which states that the magnitude of the force between two point charges is given by:
where is Coulomb’s constant ( ), and are the magnitudes of the charges, and is the distance between the charges.
  1. Calculate the force between and :
    • at
    • Distance
    • Using Coulomb’s Law:
    • Calculate :
    • The direction of : Since both charges and are negative, they repel each other, so the force acts to the left (towards negative x-axis).
  2. Calculate the force between and :
    • at the origin (0 m)
    • Distance
    • Using Coulomb’s Law:
    • Calculate :
    • The direction of : Since is positive and is negative, they attract each other, so the force acts to the left (towards negative x-axis).
  3. Calculate Total Force :
    • Since both forces and are acting in the same direction (left):
Thus, the total force exerted by the two charges on the negative point charge is approximately directed to the left (towards negative x-axis).

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