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JEE Main 2018 (15 Apr, Shift 2) · Electric Current, Drift Velocity & Current Density

Electric Current, Drift Velocity & Current Density question from JEE Main 2018 (15 Apr, Shift 2)

Q30JEE Main 2018 · 15 APR · SHIFT 2Medium

Electric Current, Drift Velocity & Current Density

A copper rod of cross-sectional area A carries a uniform current I through it. At temperature T, if the volume charge density of the rod is $\rho$ , how long will the charges take to travel a distance d?

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Answer: (c)

Here $\rho$ is the charge per unit volume, so $I = \rho A v$ and $v = \dfrac{I}{\rho A}$
Time $t = \dfrac{d}{v} = \dfrac{\rho d A}{I}$ (temperature does not enter)
So the answer is (c).

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