Charge passing through a conductor of cross-section area $A=0.3 \mathrm{~m}^2$ is given by $q=3 t^2+5 t+2$ in coulomb, where $t$ is in second. What is the value of drift velocity at $t=2 \mathrm{~s}$ ? (Given, $n=2 imes 10^{25} / \mathrm{m}^3$ )

Question

Charge passing through a conductor of cross-section area $A=0.3 \mathrm{~m}^2$ is given by $q=3 t^2+5 t+2$ in coulomb, where $t$ is in second. What is the value of drift velocity at $t=2 \mathrm{~s}$ ? (Given, $n=2 	imes 10^{25} / \mathrm{m}^3$ )

Aicharya · Accepted Answer

$A=0.3 \mathrm{~m}^2$ $n=2 	imes 10^{25} / \mathrm{m}^3$ $q=3 t^2+5 t+2$ $i=\frac{d q}{d t}=6 t+5=17$ $i=n e A v_d$ Drift velocity, $v_d=\frac{i}{n e A}$ $=\frac{17}{2 	imes 10^{25} 	imes 1.6 	imes 10^{-19} 	imes 0.3}$ $=\frac{17}{0.96 	imes 10^6}$ $=1.77 	imes 10^{-5} \mathrm{~m} / \mathrm{s}$

Charge passing through a conductor of cross-section area $A=0.3 \mathrm{~m}^2$ is given by $q=3 t^2+5 t+2$…

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