Answered: What current flows through a 2.74 cm…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 91CP: A student uses a 100.00-W, 115.00-V radiant heater to heat the student’s dorm room, dining the hours...

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What current flows through a 2.74 cm diameter rod of pure silicon that is 25.0 cm long, when 1000 V is applied to it? (Such a rod may be used to make nuclear particle detectors, for example.) The resistivity of pure silicon is 2.30 10³ Ω · m.

_____A

Expert Solution

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Solution:

Given data, resistivity of pure

silicon( $p$ )=2.30×10³ ohm.m

Length of rod (l)=25cm=0.25m

Diameter of rod (d)=2.74cm=0.0274m

So, radius (r)=0.0274/2 =0.0137m

Hence, cross sectional area of rod (A)=π×r²

So, A= π×(0.0137)² m²

or, A= 5.896×10^-4. m²

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