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A 60 coulomb of charge flows through a w...

A 60 coulomb of charge flows through a wire in half minute. The radius of the wire is 1 mm. The wire contains `5xx10^(22)` electrons per cubic centimetre. Calculate the current and drift velocity.

Text Solution

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Here, `q=60 C, t=30` seconds,
`r=10^(-3)m, n=5 xx 10^(22)//c c ~= 5xx10^(28)m^(-3)`
Current `I=q/t = 60/30=2A`
Drift veloccity, `v_(d)=I/(n e A)=I/( n e pi r^(2))`
`2/((5xx10^(28)) xx (1.6xx10^(-19)) xx3.142 xx(10^(-3))^(2))`
`=7.95 xx 10^(-5) ms^(-1)`
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