In the data for A dependence of R (Table 2b), by what factor (multiplier) did the diameter D increase from the thinnest to the thickest wire? Show the ratio calculation in support of your answer. By what factor did the area A increase? Show calculation. Are these factors consistent with how area A and the diameter D are related? If D doubles, by what factor would you expect the cross-sectional area to increase? D diameter (cm) 0.0175 0.0255 0.0315 0.0415 A area (cm^2) 2.41x10^-4 5.11x10^-4 7.79x10^-4 13.5x10^-4 V(volt) 0.945 0.898 0.850 0.777 I (Amp) 0.0214 0.0410 0.0600 0.0903 R Resistance  (Ω) 44.2 21.9 14.2 8.60

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter1: A Physics Toolkit
Section: Chapter Questions
Problem 72A
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  1. In the data for A dependence of R (Table 2b), by what factor (multiplier) did the diameter D increase from the thinnest to the thickest wire? Show the ratio calculation in support of your answer. By what factor did the area A increase? Show calculation. Are these factors consistent with how area A and the diameter D are related? If D doubles, by what factor would you expect the cross-sectional area to increase?

D diameter

(cm)

0.0175

0.0255

0.0315

0.0415

A area

(cm^2)

2.41x10^-4 5.11x10^-4 7.79x10^-4 13.5x10^-4

V(volt)

0.945

0.898

0.850

0.777

I

(Amp)

0.0214

0.0410

0.0600

0.0903

R Resistance 

(Ω)

44.2

21.9

14.2

8.60

Expert Solution
Step 1

The question is based on the ratio calculation of diameter and the area, To solve the given question we will calculate the ratio of diameter from lowest to highest value, hence by analyzing them we will determine the correct answer.

 

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