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CBSE Class 12-science Answered

a current of 1.0 A exists in a copper wire of cross section 1.0 mmsquare. assuming one free electron per atom calculate drift speed of free electrons in wire . the density of copper is 9000 kg / m 
Asked by haroonrashidgkp | 20 May, 2018, 05:57: PM
answered-by-expert Expert Answer
Current I related to drift velocity vd is given by
 
I = n×e×A×|vd| 
 
where n is the number density of atoms , e is the charge on electron, A is area of cross section.
 
gram atomic weight of Copper atom 63.5 ; number density of atoms  is given by
 
begin mathsize 12px style n space equals space fraction numerator 6.0 cross times 10 to the power of 23 cross times space 9000 over denominator 63.5 cross times 10 to the power of negative 3 end exponent end fraction space equals space 8.5 cross times 10 to the power of 28 space m to the power of negative 3 end exponent end style
begin mathsize 12px style H e n c e space open vertical bar v subscript d close vertical bar space equals space fraction numerator I over denominator n cross times e cross times A end fraction space equals space fraction numerator 1 over denominator 8.5 cross times 10 to the power of 28 cross times 1.602 cross times 10 to the power of negative 19 end exponent cross times 10 to the power of negative 6 end exponent end fraction equals space 7.3 cross times 10 to the power of negative 5 end exponent space m divided by s end style
Answered by Thiyagarajan K | 21 May, 2018, 11:00: AM
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