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
- 1Three resistors are connected to form the sides of a triangle $ABC$, the resistance of the sides $AB$, $BC$ and $CA$ are $40\,ohms$, $60\,ohms$ and $100\,ohms$ respectively. The effective resistance between the points $A$ and $B$ in $ohms$ will beView Solution
- 2Current $I$ is flowing through the two materials having electrical conductivities $\sigma_1$ and $\sigma_2$ respectively $(\sigma_1 > \sigma_2 )$ as shown in the figure. The total amount of charge at the junction of the materials isView Solution
- 3The current in the given circuit is ................ $A$View Solution
- 4Find the charge on the capacitor $C$ in the following circuit ............. $\mu C$View Solution
- 5$AB$ is a wire of uniform resistance. The galvanometer $G$ shows no current when the length $AC = 20\,cm$ and $CB = 80\, cm$. The resistance $R$ is equal to .............. $\Omega $View Solution
- 6Two wires $A$ and $B$ of the same material, having radii in the ratio $1: 2$ carry currents in the ratio $4: 1$. The ratio of drift speed of electrons in $A$ and $B$ isView Solution
- 7Three identical bulbs $B_1, B_2$ and $B_3$ are connected to the mains as shown in figure. If $B_3$ is disconnected from the circuit by opening switch $S$, then incandescence of bulb $B_1$ willView Solution
- 8View SolutionIn the following circuit composed of identical resistors, across which terminals would you connect a battery in order to dissipate energy in all resistors
- 9View SolutionWhen a current flows through a conductor its temperature
- 10Resistances of $6\, ohm$ each are connected in the manner shown in adjoining figure. With the current $0.5\,ampere$ as shown in figure, the potential difference ${V_P} - {V_Q}$ is .............. $V$View Solution
