Calculating Net Charge: How Many Electrons Does it Take?

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SUMMARY

The net charge of a system consisting of 2.0×107 electrons is calculated using the elementary charge, e = 1.60 × 10-19 C. The correct calculation is performed by multiplying the number of electrons by the charge of a single electron: (1.60 × 10-19 C) × (2.0×107) = 3.2 × 10-12 C. The confusion arose from an error in exponent handling, leading to an incorrect result of 3.2 × 10-10 C.

PREREQUISITES
  • Understanding of elementary charge (e = 1.60 × 10-19 C)
  • Basic knowledge of scientific notation and exponent rules
  • Familiarity with charge calculations in physics
  • Ability to perform multiplication with significant figures
NEXT STEPS
  • Review the concept of elementary charge and its significance in physics
  • Practice calculations involving multiple electrons and their net charge
  • Learn about the principles of charge conservation in physical systems
  • Explore common mistakes in scientific notation and how to avoid them
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators looking for examples of charge calculations.

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Homework Statement



Find the net charge of a system consisting of 2.0×10^7 electrons.


Homework Equations


e = 1.60 * 10^-19 C


The Attempt at a Solution




(1.60 * 10^-19) * (2.0×10^7) = 3.2 * 10^-10

...but I got it incorrect. I'm confused as to how else I'm supposed to solve this.
 
Physics news on Phys.org
Check those exponents.
 

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