Does Current Remain Constant in a Wire with Varying Cross Sections?

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SUMMARY

The discussion confirms that the electric current remains constant throughout a wire, regardless of variations in its circular cross-section. This conclusion is based on the principle of conservation of charge, which states that the number of Coulombs per second passing through any cross-sectional area must be equal to prevent charge accumulation. Therefore, the current does not vary in a wire with differing cross-sectional areas.

PREREQUISITES
  • Understanding of electric current and charge conservation
  • Familiarity with basic electrical concepts such as Coulombs and current flow
  • Knowledge of wire properties, including cross-sectional area
  • Basic grasp of physics principles related to electricity
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  • Study the principle of conservation of charge in electrical circuits
  • Explore the relationship between current, voltage, and resistance using Ohm's Law
  • Investigate the effects of wire material and temperature on electrical conductivity
  • Learn about the continuity equation in fluid dynamics and its application to electrical flow
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Students studying physics, electrical engineers, and anyone interested in understanding the behavior of electric currents in varying conductor geometries.

Mitchtwitchita
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Homework Statement



Just wondering if a wire of varying circular cross section would have varying currents, or if the conservation law applies, and the current is the same at all points despite the varying circular cross sections?

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The Attempt at a Solution

 
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The number of Coulombs/second passing through any cross sectional area will be the same otherwise you would have accumulation of charge somewhere. In other words, the conservation law applies.
 

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