How Do You Determine Net Charge Through a Wire Over Time?

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SUMMARY

The discussion centers on determining the net charge passing through a wire over time by analyzing current plots. The relationship between current (i) and charge (dq) is defined by the equation i = dq/dt. Participants conclude that to find the net charge for each time period, one must integrate the current over the respective time intervals. This method provides a definitive ranking of net charge for the specified periods.

PREREQUISITES
  • Understanding of basic electrical concepts, specifically current and charge.
  • Familiarity with calculus, particularly integration techniques.
  • Knowledge of the relationship between current and charge as expressed in the equation i = dq/dt.
  • Ability to interpret graphical data representing current over time.
NEXT STEPS
  • Study the fundamentals of electrical charge and current in circuits.
  • Learn integration techniques for calculating area under curves in physics.
  • Explore practical applications of current and charge in electrical engineering.
  • Review examples of integrating current functions to determine total charge over time.
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Students in physics or electrical engineering, educators teaching circuit theory, and professionals analyzing electrical systems.

snoggerT
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The figure below shows plots of the current i through a certain cross section of a wire over four different time periods. Rank the periods according to the net charge that passes through the cross section during the period, greatest first. (Use only the symbols > or =, for example a>b=c>d.)
hrw7_26-16.gif




i=dq/dt



The Attempt at a Solution



- I'm really not sure how to start this problem. I tried taking the charge and dividing it by the time for each one, but that didn't work. Would you have to do the integrals for them? Seems like this should be a very simple problem.
 
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Sure. Integrate current over time. That's charge.
 

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