Solve Ohm's Law Problem: Homework Equations & Solutions

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SUMMARY

The discussion focuses on solving an Ohm's Law problem involving resistance (R) and voltage (V) calculations. The user attempted to calculate resistance using the formula R = (Rou*A)/L, where Rou is the resistivity, A is the cross-sectional area, and L is the length. The user reported a calculated resistance of 1.5873882E-11 Ohms and voltage of 4.81026727E-13 V, but was informed that their resistance calculation was incorrect and advised to check their formula.

PREREQUISITES
  • Understanding of Ohm's Law and its applications
  • Knowledge of resistivity and its significance in electrical engineering
  • Familiarity with geometric calculations for area (A = πr²)
  • Ability to convert units (e.g., cm to m, mm to m)
NEXT STEPS
  • Review the derivation and application of Ohm's Law
  • Study the concept of resistivity and its dependence on material properties
  • Practice calculating cross-sectional areas for different shapes
  • Explore common errors in resistance calculations and how to avoid them
USEFUL FOR

Students studying electrical engineering, educators teaching physics concepts, and anyone needing to solve problems related to Ohm's Law and electrical resistance calculations.

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Homework Statement



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Homework Equations



R = (Rou*A)/L
V = R/i

The Attempt at a Solution


In this one I don't really understand how my answer to part a is wrong.
My Work: L = 5.9 cm = 5.9E-2 m
diameter = 8.4 mm = 8.4E-3 m ... radius = 4.2E-3 m ... A = pi*r^2 = pi(4.2E-3)^2 = 5.541769E-5 m^2
R = (Rou*A)/L = (1.69E-8 * 5.541769E-5)/(5.9E-2) = 1.5873882E-11 Ohms
V = R/i = (1.5873882E-11)/(33) = 4.81026727E-13 V = 4.81026727E-10 mV
 
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Your resistance calculation is in error. Check your formula.
 

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