For ohmic conductor the drift velocity $v_{d}$ and the electric field applied across it are related as :

v_{d} \propto \sqrt{E}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

v_{d} \propto E^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

v_{d} \propto E

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

v_{d} \propto \frac{1}{E}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $v_{d} \propto E$
We have $i = n e A v_{d}$ and $i = \frac{V}{R}$
$∴ \frac{V}{R} = n e A v_{d}$
or $V = n e A v_{d} \cdot R$
$= n e A v_{d} (ρ \frac{l}{A})$
$∴ \frac{V}{l} = E = n e ρ v_{d}$
$\Rightarrow E \propto v_{d}$ .

Suggest Corrections

Similar questions

V_{d}

v_{d}

v_{d}

E,

v_{d}

S

e

m

v_{D}

v_{D}

i

Join BYJU'S Learning Program