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12 grade physics others

State and explain Coulomb’s law of electric charges in scalar form.

Profile image of Aniket Singh
1 Year agoGrade
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Profile image of Askiitians Tutor Team
1 Year ago

Coulomb's law is a fundamental principle in electrostatics that describes the electrostatic force between two charged objects. It is typically expressed in scalar form as follows:

F = k * (|q1 * q2|) / r^2

Where:

F represents the magnitude of the electrostatic force between the two charged objects, measured in newtons (N).
k is Coulomb's constant, a constant of proportionality that depends on the units being used. In SI units, k is approximately 8.99 x 10^9 N·m^2/C^2.
q1 and q2 are the magnitudes of the two point charges, measured in coulombs (C). These can be positive or negative, representing the charge on each object. Like charges (both positive or both negative) repel each other, while opposite charges (one positive and one negative) attract each other.
r is the distance between the centers of the two charged objects, measured in meters (m).
Coulomb's law states that the electrostatic force between two point charges is directly proportional to the product of the magnitudes of the charges (|q1 * q2|) and inversely proportional to the square of the distance between them (r^2). This means that the force becomes stronger if the charges have larger magnitudes and weaker if they are separated by a greater distance.

The force is attractive when the charges have opposite signs (one positive and one negative), and it is repulsive when the charges have the same sign (both positive or both negative). The direction of the force is along the line connecting the two charges, with attractive forces directed toward each other and repulsive forces directed away from each other.

In scalar form, Coulomb's law only provides the magnitude of the force and does not specify its direction. To include the direction of the force, you would use vector notation and introduce unit vectors to represent the direction of the force.