D What is the Missing Step in this Electrostatic Algebra Equation?

In summary, the conversation discusses a homework question on electrostatic seesaws and the use of algebra in solving the problem. The equation being used is 0= (2q Q)/(4πε_o r²)+(q Q)/(4πε_o r²)-m, and it is shown that line 2 can be simplified by adding two fractions that are the same. The person seeking help thanks compuchip for their assistance.
  • #1
spiderlegs
5
0

Homework Statement



I have a homework question on electrostatic seesaws. My problem is the algebra.

Homework Equations



I have been following another example and any guidance to help me proceed would be great.

0= (2q Q)/(4πε_o r²)+(q Q)/(4πε_o r²)-m
0= (3q Q)/(4πε_o r²)-m
m=(3q Q)/(4πε_o r²)

I don't understand line 2. I don't understand how part of the equation has canceled out. I know there is a step missing so could anyone point me in the right direction.

The Attempt at a Solution

 
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  • #2
There is no step missing.

There are two fractions which are the same, therefore they can be added:
[tex]\frac{2x}{y} + \frac{x}{y} = \frac{3x}{y}[/tex]
 
  • #3
Of course! Thank you compuchip x
 

FAQ: D What is the Missing Step in this Electrostatic Algebra Equation?

What is electrostatic algebra?

Electrostatic algebra is a branch of physics that studies the behavior of electric charges at rest. It involves the use of algebraic equations to describe the interactions between charged particles and their surrounding electric fields.

How is electrostatic algebra used in real-world applications?

Electrostatic algebra is used in a variety of real-world applications, such as designing electronic circuits, analyzing the behavior of charged particles in accelerators, and predicting the behavior of electric fields in power lines. It also plays a crucial role in understanding and controlling static electricity.

What are the key principles of electrostatic algebra?

The key principles of electrostatic algebra include Coulomb's law, which describes the force between two charged particles, and the principle of superposition, which states that the total force on a charged particle is the sum of the individual forces from each surrounding charged particle.

How does electrostatic algebra differ from other branches of algebra?

Electrostatic algebra differs from other branches of algebra in that it specifically deals with electric charges and their interactions. It also involves the use of specific equations and principles that are unique to the study of electric fields and charged particles.

What are some common applications of electrostatic algebra in everyday life?

Some common applications of electrostatic algebra in everyday life include the functioning of electronic devices, such as phones and computers, the behavior of household appliances like hair dryers and vacuum cleaners, and the functioning of lightning rods to protect buildings from lightning strikes.

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