Answer: So we have two objects, one of charge q₁ and the other with charge q₂, separated by some distance R. and we know that q₁ >q₂-
According to Coulomb's law, the force between the charges is [tex]F = k\frac{q1*q2}{R^{2} }[/tex] So here we saw that the magnitude of force that the first charge does in the second, is the same that the magnitude of the force that the second charge does in the first, because we have the product of both charges.
So the forces that each particle exert on the other is the same, now let's analyze the directions.
if the charges have the same sign, then the force is repulsive, this means that the forces point away from each other, so in this case the forces have opposite directions.
If the charges have different sign, then the force is attractive, so the forces points towards the particles, again in this case the forces have opposite directions.
So the correct answer is: The charged objects exert electrostatic forces on each other that are equal in magnitude and opposite in direction.
The charged objects exert electrostatic forces on each other that are equal in magnitude and opposite in direction.
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Electric charge consists of two types i.e. positively electric charge and negatively electric charge.
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There was a famous scientist who investigated about this charges. His name is Coulomb and succeeded in formulating the force of attraction or repulsion between two charges i.e. :
[tex]\large {\boxed {F = k \frac{Q_1Q_2}{R^2} } }[/tex]
F = electric force (N)
k = electric constant (N m² / C²)
q = electric charge (C)
r = distance between charges (m)
The value of k in a vacuum = 9 x 10⁹ (N m² / C²)
Let's tackle the problem now !
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Given:
charge of the object 1 = q₁
charge of the object 2 = q₂
Unknown:
electrostatic force = ?
Solution:
The electrostatic force acting on object 1:
[tex]\large {\boxed {F_1 = k \frac{q_1 q_2}{d^2}}}[/tex]
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The electrostatic force acting on object 2:
[tex]\large {\boxed {F_2 = k \frac{q_2 q_1}{d^2}}}[/tex]
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From information above , we can conclude that the charged objects exert electrostatic forces on each other that are equal in magnitude and opposite in direction. It actually follows the 3rd Newton's Law of Motion that states "For every action, there is an equal and opposite reaction".
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Grade: High School
Subject: Physics
Chapter: Static Electricity
