Coulomb's Law: Find Force of 4.0 & 6.0 $\mu C$ Charges

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    Coulomb's law Law
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SUMMARY

This discussion focuses on applying Coulomb's Law to calculate the forces between two point charges: \(q_1 = 4.0 \, \mu C\) and \(q_2 = 6.0 \, \mu C\). The charges are positioned such that \(q_1\) is at the origin and \(q_2\) is located at \(x = 3.0 \, m\). The formula used is \(F = \dfrac{k q_1 q_2}{r^2}\), where \(k\) is Coulomb's constant. The discussion also explores how the forces would change if \(q_2\) were negative.

PREREQUISITES
  • Coulomb's Law
  • Understanding of electric charge units (microcoulombs)
  • Basic physics concepts of force and distance
  • Knowledge of constants such as Coulomb's constant (\(k\))
NEXT STEPS
  • Study the implications of charge polarity on force calculations
  • Learn about electric field concepts related to point charges
  • Explore the concept of superposition in electrostatics
  • Investigate the role of Coulomb's constant in different mediums
USEFUL FOR

This discussion is beneficial for physics students, particularly those preparing for introductory courses like Physics 151, as well as educators and anyone interested in the fundamentals of electrostatics and force interactions between charged particles.

karush
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$\tiny{18.3.6 Coulomb's Law }$
$\text{A charge of $q_1=4.0 \mu \, C$ is at origin, and charge}$
$\text{$q_2=6.0 \mu \, C$ is on the x-axis at $x=3.0 m$ }$,
$\text{(a) find the force on the charge $q_2$ } $
$\text{(b) find the force on $q_1$ } $
$\text{(c) how would your answer for parts (a) and (b) dffer if $q_2=-6.0 \mu \, C $ }$

ok I plan to take physics 151this fall
so trying to do some expected problems early
 
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karush said:
$\tiny{18.3.6 Coulomb's Law }$
$\text{A charge of $q_1=4.0 \mu \, C$ is at origin, and charge}$
$\text{$q_2=6.0 \mu \, C$ is on the x-axis at $x=3.0 m$ }$,
$\text{(a) find the force on the charge $q_2$ } $
$\text{(b) find the force on $q_1$ } $
$\text{(c) how would your answer for parts (a) and (b) dffer if $q_2=-6.0 \mu \, C $ }$

ok I plan to take physics 151this fall
so trying to do some expected problems early
Start with Coulomb's law!

[math]F = \dfrac{k q_1 q_2}{r^2}[/math] or [math]F = \dfrac{1}{4 \pi \epsilon _0} \dfrac{q_1 q_2}{r^2}[/math]

(Hint: The force on q1 is the same as the force on q2. Why?)

-Dan
 

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