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Tushar Watts Grade: 12
        

Ques1) A caterpiller of length 4cm crawls in the direction of electron drift along a 5.2mm diameter bare copper wire that carries an uniform current of 12 A. (a) What is the potential difference b/w the two ends of the caterpiller?  (b) Is it's tail positive or negative relative to the head? (c) How much time does it takes to crawl 1 cm if it crawlsat the drift speed of the electrons in the wire? (The number of vharge carries per unit volume is 8.49 x 10 28 m-3.)


Ques2) What would happen to the drift velocity of the electrons in a wire and to the current in the wire if the electrons could move freely without the resistance through the wire?

7 years ago

Answers : (1)

Ramesh V
70 Points
										

(1)


Area of copper wire : Pi/d*d2 = 2.123x10-5 m2 


lenght of catrepillar : L : 0.04 m


Resistivity of copper is: 1.69 x 10-8 ohm-meter


no. density of charge carriers in copper: ρ = 8.49 x 10 28 m-3


 (a) volatge V = iR = iρL/A


                 V = (12*1.69 * 10-8 * 4*10-2) / 2.123x10-5


                    = 0.382 mV


  (b) current i is opposite to electron drift


        i runs from Vhig to Vlow


        So, the head is at higher potential.


 (c)  Vd = drift velocity


        Δt  = Δx / Vd


        Vd = J / ne = i / Ane


       Δt  = Δx .Ane /i


             = 10-2 * 2.123x10-5 *8.49*1028 *1.602*10-19 / 12


             =  240.5 sec


time it takes to crawl is 240.5 sec


----


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Regards,

Naga Ramesh

IIT Kgp - 2005 batch



7 years ago
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