According to Coulomb's law, rank the interactions between...

According to Coulomb's law, rank the interactions between charged particles from lowest potential energy to highest potential energy. a. a $1+$ charge and a $1-$ charge separated by $100 \mathrm{pm}$ b. a $2+$ charge and a $1-$ charge separated by $100 \mathrm{pm}$ c. a $1+$ charge and a $1+$ charge separated by $100 \mathrm{pm}$ d. a $1+$ charge and a $1-$ charge separated by $200 \mathrm{pm}$

According to Coulomb's law, rank the interactions between charged particles from lowest potential energy to highest potential energy.
a. a $1+$ charge and a $1-$ charge separated by $100 \mathrm{pm}$
b. a $2+$ charge and a $1-$ charge separated by $100 \mathrm{pm}$
c. a $1+$ charge and a $1+$ charge separated by $100 \mathrm{pm}$
d. a $1+$ charge and a $1-$ charge separated by $200 \mathrm{pm}$

Key Concepts

Charge Sign and Magnitude

The sign and magnitude of a charge critically influence the nature and strength of the interaction. Oppositely charged particles attract one another, resulting in negative potential energy, whereas like charges repel, leading to positive potential energy. The magnitude of the charges also affects the interaction strength, with higher magnitudes leading to stronger forces and larger potential energies.

Distance Dependence

The separation distance between charged particles plays a key role in determining interaction strength. According to Coulomb's law, the potential energy and force decrease with increasing distance between the charges. This distance-dependent behavior is crucial for predicting how changes in spatial configuration affect the energy and dynamics of the charged system.

Electric Potential Energy

Electric potential energy represents the energy stored in a system of charges due to their positions relative to each other. It is determined by the product of the charges, the separation distance, and the permittivity of the medium. Negative potential energy indicates an attractive interaction between opposite charges, while positive potential energy is associated with repulsive interactions between like charges.

Coulomb's Law

Coulomb's law is a fundamental principle in electrostatics that quantifies the force between two charged particles. It states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. This principle is essential for understanding interactions in systems of charged particles.

Transcript

00:01 At the three problems, fifty six is, according to coolum slaw ranked interaction between charged particles from lowest to highest and potential energy.

00:08 Let's remind ourselves what the equation is for cooling.

00:12 Okay, which is the constant times in charge of two different particles will call one one and the other two divided by the distance.

00:21 Those product was aaron part square.

00:25 The first one were given.

00:27 It is a positive one charge a negative one charge that are one hundred people meters apart.

00:34 So this will be our kyu won.

00:37 This will make you too.

00:39 And this will be our our for me.

00:45 Let's do it in a different company.

00:50 We have positive too minus one at one hundred people meters apart for sea.

01:01 We have positive to positive one another positive one at one hundred people meters apart.

01:09 And for d, we have positive one and negative one at two hundred people meters apart.

01:17 So i'm gonna put these into the equation and see what chances we kid starting with a we'll have k times one times negative one divided by one hundred square, don't you? zero negative zero point zero zero zero one times k if we do the next one.

01:55 We're going to do it in red.

02:03 It's gonna be okay.

02:06 Times two times.

02:08 Negative one.

02:10 What about it? by one hundred square.

02:16 So if you put this into the equation, breguet negative.

02:20 Zero point zero zero two.

02:24 Okay, now make sure that this looks more like a zero.

02:35 There we go...