Question
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
?
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
The total force on the negative charge
is approximately
directed to the left along the x-axis.
Solution

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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.
-
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).
-
-
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).
-
-
Calculate Total Force
: - Since both forces
and are acting in the same direction (left):
- Since both forces
Thus, the total force exerted by the two charges on the negative point charge
is approximately
directed to the left (towards negative x-axis).