A copper wire of diameter $1.02\, mm$ carries a current of $1.7\, amp$. Find the drift velocity $(v_d)$ of electrons in the wire. Given $n$, number density of electrons in copper $= 8.5 \times 10^{27} /m^3$....................... $mm/sec$
Medium
Download our app for free and get started
$\mathrm{I}=1.7 \mathrm{\,A}$
$\mathrm{J}=$ current density
$=\frac{\mathrm{I}}{\pi \mathrm{r}^{2}}=\frac{1.7}{\pi \times\left(0.51 \times 10^{-3}\right)^{2}}=\mathrm{nev}_{\mathrm{d}}$
$=8.5 \times 10^{27} \times\left(1.6 \times 10^{-19}\right) \times v_{d}$
$\therefore $ $\mathrm{v}_{\mathrm{d}}=\frac{1.7}{\pi \times\left(0.51 \times 10^{-3}\right)^{2} \times 8.5 \times 10^{27} \times 1.6 \times 10^{-19}}$
$=1.5 \times 10^{-3} \mathrm{\,m} / \mathrm{sec} .=1.5 \mathrm{\,mm} / \mathrm{sec}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The figure shows a meter-bridge circuit, with $AB = 100\, cm$,$ X = 12\,\Omega$ and $R = 18\,\Omega$ , and the jockey $J$ in the position of balance. If $R$ is now made $8\,\Omega$ , through what distance will $J$ have to be moved to obtain balance? .............. $cm$View Solution
- 2The resistance of a wire is $R$. It is bent at the middle by $180^{\circ}$ and both the ends are twisted together to make a shorter wire. The resistance of the new wire isView Solution
- 3Coefficient of linear expansion of material of resistor is $\alpha$. Its temperature coefficient of resistivity and resistance are $\alpha_\rho$ and $\alpha_R$ respectively, then correct relation isView Solution
- 4Four identical cells of $EMF$ $E$ and internal resistance $r$ are connected as shown in figure, find terminal voltage across any one cellView Solution
- 5Following figure shows cross-sections through three long conductors of the same length and material, with square cross-section of edge lengths as shown. Conductor $B$ will fit snugly within conductor $A$, and conductor $C$ will fit snugly within conductor $B$. Relationship between their end to end resistance isView Solution
- 6View SolutionThe capacitor shown in fig. is in steady state. The energy stored in the capacitor is
- 7In the figure shown, if the internal resistance of the battery is $1\, ohm$, the reading of the ammeter will be ............... $A$View Solution
- 8You are given several identical resistances each of value $R = 10\,\Omega $ and each capable of carrying maximum current of $1\, ampere$. It is required to make a suitable combination of these resistances to produce a resistance of $5\,\Omega $ which can carry a current of $4\, amperes$. The minimum number of resistances of the type $R$ that will be required for this jobView Solution
- 9In the given circuit diagram, the currents, ${I_1} = - \,0.3\,A,\,{I_4} = 0.8\,A$ and ${I_5} = 0.4\,A,$ are flowing as shown. The currents $I_2,\,I_3$ and $I_6,$ respectively areView Solution
- 10A charged particle having drift velocity of $7.5 \times 10^{-4}\, ms ^{-1}$ is an electric field of $3 \times 10^{-10}\, Vm ^{-1}$ has a mobility in $m ^{2} V ^{-1} s ^{-1}$ ofView Solution