Translating m^2/C^2 to cm^2/μC^2 (couloumbs law)

  • Context: Undergrad 
  • Thread starter Thread starter lozzajp
  • Start date Start date
  • Tags Tags
    Law
Click For Summary
SUMMARY

The conversion of units from m²/C² to cm²/μC² in Coulomb's Law is accurately performed using the equation 9x10^9 x N x 1m²/1C² x 10000cm²/1m² x 1C²/1x10^12μC². This simplifies to 90 x N x 1cm²/1μC², confirming that the calculations are correct. The conversion factors utilized include 10,000 cm² per m² and 1 x 10^12 μC² per C². The discussion confirms no errors in the conversion process.

PREREQUISITES
  • Understanding of Coulomb's Law
  • Familiarity with unit conversion techniques
  • Knowledge of metric prefixes, specifically micro (μ) and centi (cm)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the principles of Coulomb's Law in depth
  • Practice unit conversion problems involving different metric prefixes
  • Explore dimensional analysis techniques for verifying equations
  • Learn about the implications of unit conversions in physics experiments
USEFUL FOR

Students in physics, educators teaching electromagnetism, and professionals working with electrostatic calculations will benefit from this discussion.

lozzajp
Messages
14
Reaction score
0
I am hoping I have this right but want to make sure.
I have 9x10^9 x N x m^2/C^2 and want to use units of cm and μC (micro)

9x10^9 x N x 1m^2/1C^2 x 10000cm^2/1m^2 x 1C^2/1x10^12μC^2
9x10^9 x N x 10000cm^2/1x10^12μC^2
90 x N x 1cm^2/1μC^2

Have I got that right? Havent fallen into any traps or made a mistake?

Thanks for any help, hope I've written it well enough to see what's going on.
 
Mathematics news on Phys.org
Looks good to me.
 

Similar threads

Undergrad How Does the Balloon Analogy Explain the Expansion of the Universe?
  • · Replies 5 ·
Replies
5
Views
2K
Calculating Coulomb Forces Between Point Charges
  • · Replies 5 ·
Replies
5
Views
6K
Undergrad Einstein brother-in-law elevator
  • · Replies 11 ·
Replies
11
Views
2K
Verifying Coulomb's Law: Q1, Q2 & R
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Some thoughts about Bell's string paradox alternatives
  • · Replies 75 ·
3
Replies
75
Views
7K
Line Charge and Charged Cylindrical Shell (Gauss law)
  • · Replies 4 ·
Replies
4
Views
7K
Magnitude and Direction of the Force on a Charge
  • · Replies 6 ·
Replies
6
Views
10K
Undergrad Help with a cartesian problem to find a geocache.
  • · Replies 1 ·
Replies
1
Views
4K
Challenge Math Challenge - October 2018
  • · Replies 71 ·
3
Replies
71
Views
14K
Undergrad The missing factor of 2π in reciprocal lattice calculations
  • · Replies 4 ·
Replies
4
Views
3K