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In a wire of circular cross section with radius r free electrons travel with a drift velocity v when a current I flows through a wire.The current in another wire of half the radius and of the same material when the drift velocity is 2v
Asked by Pailasudakararao | 09 Jun, 2019, 10:40: AM
answered-by-expert Expert Answer
current = n e A vd ...............(1)
 
where n is number density of electron, e is charge of electron, A is area of cross section and vd is drift velocity
 
material of two wires are same, hence n is same for both wire.
 
current I in wire-1 is given by,   I = n e A v 
 
if wire-2 has half the radius and drift velocity 2v, then current in wire-2 = n e (A/4) (2v)  = (n e A v )/2  = I/2
Answered by Thiyagarajan K | 09 Jun, 2019, 12:25: PM

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