The force between two charges

Electrical Force How Would You Define an Electrical Force? The repulsive or attractive interaction between any two charged bodies is called as electric force. Similar to any force, its impact and effects on the given body are described by Newton’s laws of motion. The electric force is one of the various forces that act on objects. Newton’s laws are applicable to analyse the motion under the influence of that kind of force or combination of forces. The analysis begins by the construction of a free body image wherein the direction and type of the individual forces are shown by the vector to calculate the resultant sum, which is called the net force that can be applied to determine the body’s acceleration. Table of Contents • • • • • What Does the Size of the Electric Force Depend On? The electric force between two electrons is equal to the electric force between two protons when placed at equal distances. This describes that the electric force is not based on the mass of the object but depends on the quantity known as the electric charge. Read More: What Is Coulomb’s Law? Coulomb’s law is an experimental law that quantifies the amount of force between two stationary electrically charged particles. The electric force between a stationary charged body is conventionally known as the electrostatic force or Coulomb’s force. Coulomb’s law describes the amount of electrostatic force between stationary charges. Coulomb’s law states that: The value of the electrostatic forc...

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Coulomb’s law, also known as Coulomb’s inverse-square law, is a physical experiment that quantifies the amount of force between two stationary, electrically charged particles. The electric force between two charged bodies at rest is commonly referred to as electrostatic force or Coulomb force. Although the law existed prior to 1785, it was published for the first time by French physicist Charles-Augustin de Coulomb, hence the name. Coulomb’s law was critical to the development of electromagnetism theory, possibly even its starting point, because it allowed for meaningful discussion of the quantity of electric charge. The electrostatic force of attraction or repulsion between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of their distance, according to the law. K or ke is Coulomb’s constant ( k e ≈ 8.988×10 9 N⋅m 2⋅C −2), q1 and q2 are the signed magnitudes of the charges, and r is the distance between the charges. The force is directed in the direction of the straight line connecting the two charges. The electrostatic force between two charges is repulsive if their signs are the same; if their signs are opposite, the force is attractive. . The law is analogous to Isaac Newton’s inverse-square law of universal gravitation because it is an inverse-square law, but gravitational forces are always attractive, whereas electrostatic forces can be either attractive or repulsive. Coulomb’s law can be used to c...

In nature, every particle exerts some kind of force on the other particles. This is true from a subatomic to a celestial level. The forces exerted by objects on each other vary in range, magnitude, and nature. The nature of these forces depends upon various physical phenomena and the value of some universal constants that define the current state of our universe. Here, we will discuss the electrostatic force between multiple charged particles. We will discuss the nature of this force and the appropriate way of calculating it using Coulomb's law for force between multiple charges and the principle of superposition. Coulomb's Law for Forces Between Multiple Charges Before we try to calculate Coulomb's law for forces between multiple charges, we need to understand Coulomb's force between two charged particles. Coulomb’s law or Coulomb’s inverse square law was discovered in 1785 by French physicist Charles-Augustin de Coulomb. The experimentally proven law quantifies the force exerted by a static charged particle on another static charged particle. Assume two static charged particles with a charge of ‘q 1 ’ and ‘q 2 ’ respectively. The force exerted by one particle on the other, if they are separated by a distance of ‘r’ between their centers is given by: F = K e q 1 q 2 /r 2 Where, ‘F ’ is the force between the two particles, And ‘K e ’ is the Coulomb’s constant, with a value of 9.987 * 10 9 N.m 2 .C 2 . To calculate the Coulomb's law forces between multiple charges, we use t...

In the 18th century, Charles Coulomb uncovered the secrets of electrostatic force between two charged particles, including the effect of particle charge and the combined effects of charge and distance. In this lesson, dive into the definition of a coulomb as a unit of charge and the variables that affect the force between two charged particles. Updated: 08/23/2021 Equation for the force between charged particles Back in the 18th century, it was well known that an electrically-charged particle would exert a force on any other charged particle. The problem was no one knew how strong the force was or what factors affected its strength. That is, until a very bright scientist by the name of Coulomb's law. The force between charged particles is directly related to the amount of charge carried by each particle. Aside from electrons and protons, most charged particles carry a variable amount of charge. Think of rubbing a balloon on your hair. The balloon will pick up negative charges from your hair and begin to act like one big charged particle. The amount of charge on the balloon will depend on how long you rub it on your hair. Now, if you repeat this experiment with a second balloon, the two will try to repel each other, and the strength of that repelling force will depend on how much charge each balloon picked up from your hair. The force between charged particles is very dependent on the distance between them, even more so than on the particle charges we just discussed. In Cou...

So, i was trying to calculate, the net force between 2 point charges in their rest frame, and in a frame where they are moving. So, assume, there are 2 point charges each of charge +q. They are r distance apart from each other and moving parallel to each other with a speed v relative to a lab observer. So , in the unprimed frame, i.e. the rest frame of the point charges. Net force of repulsion between them F = q 2/4πε 0r 2 Whereas in the primed frame , i.e the lab frame, Net force ( including the magnetic force ) = F' = q 2/4πε 0r 2 - μ 0q 2 v 2/4πr 2 Upon rearranging the terms of F', it results in F' = F / ϒ 2 But, it was my understanding that F' should be equal to F / ϒ Can someone please point out where i am going wrong ? That's for the rest frame of the charge. If you transform the E field into frame where the charge moves, it gets length contracted, and thus stronger perpendicular to the motion, but weaker in line with the motion. From: https://www.researchgate.net/figure/Electric-Field-of-a-Charged-Particle_fig2_2177605 Thanks a lot for this . I had no idea about this, i will look it up to see if it helps Summary:: The force between 2 moving point charges in the lab frame should be 1/ϒ times the force in their rest frame. But my calculations are showing 1/ϒ^2 times the force in rest frame. Where am i going wrong ? Whereas in the primed frame , i.e the lab frame, Net force ( including the magnetic force ) = F' = q2/4πε0r2 - μ0q2 v2/4πr2 Your transformations for the E ...