A copper wire of length 1 ,m and uniform cros | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given: Length $l = 1 \,m$,Area $A = 5 	imes 10^{-7} \,m^{2}$,Current $I = 1 \,A$,Electron density $n = 8 	imes 10^{28} \,m^{-3}$,Charge of elect

Vedclass · Accepted Answer

$6.4 	imes 10^{3} \,s$

Vedclass · Answer

(D) Given: Length $l = 1 \,m$,Area $A = 5 	imes 10^{-7} \,m^{2}$,Current $I = 1 \,A$,Electron density $n = 8 	imes 10^{28} \,m^{-3}$,Charge of electron $e = 1.6 	imes 10^{-19} \,C$. The drift velocity $v_{d}$ is given by the formula $v_{d} = \frac{I}{neA}$. Substituting the values: $v_{d} = \frac{1}{8 	imes 10^{28} 	imes 1.6 	imes 10^{-19} 	imes 5 	imes 10^{-7}} = \frac{1}{64 	imes 10^{2}} = \frac{1}{6.4 	imes 10^{3}} \,m/s$. The time $T$ taken to drift across the length $l$ is $T = \frac{l}{v_{d}}$. $T = \frac{1}{1 / (6.4 	imes 10^{3})} = 6.4 	imes 10^{3} \,s$.

Rod	Length,Diameter,Potential Difference
$(A)$	$L, 3d, V$
$(B)$	$2L, d, 2V$
$(C)$	$3L, 2d, 2V$

$A$ copper wire of length $1 \,m$ and uniform cross-sectional area $5 \times 10^{-7} \,m^{2}$ carries a current of $1 \,A$. Assuming that there are $8 \times 10^{28}$ free electrons per $m^{3}$ in copper,how long will an electron take to drift from one end of the wire to the other?

Similar Questions

The electric intensity $E$,current density $j$,and specific resistance $\rho$ (often denoted as $k$ in some texts) are related to each other by the relation:

$A$ wire of non-uniform cross-section is carrying a steady current. Along the wire,

Three copper rods are subjected to different potential differences. Compare the drift speed of electrons through them. Assume that all $3$ are at the same temperature.
Rod Length,Diameter,Potential Difference
$(A)$ $L, 3d, V$
$(B)$ $2L, d, 2V$
$(C)$ $3L, 2d, 2V$

$A$ conducting wire of cross-sectional area $1 \,cm^2$ has $3 \times 10^{23}$ charge carriers per $m^3$. If the wire carries a current of $24 \,mA$, then the drift velocity of the carriers is:

$A$ $1 \mu A$ beam of protons with a cross-sectional area of $0.5 \text{ mm}^2$ is moving with a velocity of $3 \times 10^4 \text{ m/s}$. The charge density of the beam is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module