A current of 10, A exists in a wire of cross- | vedclass

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(B) Given: Current $i = 10\, A$,Area $A = 5\, mm^{2} = 5 	imes 10^{-6}\, m^{2}$,Drift velocity $v_{d} = 2 	imes 10^{-3}\, m/s$,and charge of an elec

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$625 	imes 10^{25}$

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(B) Given: Current $i = 10\, A$,Area $A = 5\, mm^{2} = 5 	imes 10^{-6}\, m^{2}$,Drift velocity $v_{d} = 2 	imes 10^{-3}\, m/s$,and charge of an electron $e = 1.6 	imes 10^{-19}\, C$.We know the relation between current and drift velocity is $i = neAv_{d}$.Rearranging for the number density $n$,we get $n = \frac{i}{eAv_{d}}$.Substituting the values: $n = \frac{10}{1.6 	imes 10^{-19} 	imes 5 	imes 10^{-6} 	imes 2 	imes 10^{-3}}$.$n = \frac{10}{16 	imes 10^{-28}} = 0.625 	imes 10^{28} = 625 	imes 10^{25}\, m^{-3}$.

Rod	Length,Diameter,Potential Difference
$(A)$	$L, 3d, V$
$(B)$	$2L, d, 2V$
$(C)$	$3L, 2d, 2V$

$A$ current of $10\, A$ exists in a wire of cross-sectional area of $5\, mm^{2}$ with a drift velocity of $2 \times 10^{-3}\, m/s$. The number of free electrons in each cubic meter of the wire is ..........

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