How to Calculate Current in a Silver-Lined Tube?

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SUMMARY

The discussion focuses on calculating the current in a silver-lined plastic tube connected to a 12V battery. The tube measures 25m in length and has a diameter of 4cm, with a uniform silver layer of 0.1mm thickness. To determine the current, one must first calculate the resistance using the resistivity of silver, which can be found in resources like the CRC handbook or online databases. The current can then be derived using Ohm's Law, applying the relationship between current, voltage, and resistance.

PREREQUISITES
  • Understanding of Ohm's Law and current/resistance equations
  • Knowledge of resistivity and its role in electrical calculations
  • Familiarity with geometric calculations for cylindrical objects
  • Access to resistivity values, specifically for silver
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  • Research the resistivity of silver and its standard value
  • Learn how to calculate the resistance of a cylindrical conductor
  • Study the concept of current density and its application in electrical engineering
  • Explore the use of online resources for material properties in engineering calculations
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Students in electrical engineering, physics learners, and anyone involved in practical applications of electrical resistance and current calculations.

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Homework Statement


A plastic tube 25m long and 4cm in diameter is dipped into a silver solution, resulting in a layer of silver being deposited 0.1mm think uniformly over the outer surface of the plastic tube. The coated tube is then connected across a 12V battery. Calculate the current.


Homework Equations


Current/Resistance equations that are time invariant


The Attempt at a Solution


I THINK that I need to find the current density in order to solve this problem, however I cannot think of a way to find it. I also thought about some way to do this by finding the resistance but you need the resistivity of silver. I could look on line but the value isn't provided in my book or in the homework set so I thinking that I'm not supposed to just look-up the resistivity of silver.
 
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I would just look up the resistivity of silver, calculate the resistance of that geometry, and use that to calculate the current. Don't worry that the book doesn't give you the rho of silver -- it's common to look up resistivities of materials in a CRC handbook or nowadays just online.
 

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