Is the motion of a charge across a junction momentum conserving? Why or why not?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The motion of a charge across a junction is generally not momentum-conserving.
When a charge carrier (such as an electron) moves through a conductor,it experiences collisions with the lattice ions,which exert external forces on the charge.
According to Newton's second law,the rate of change of momentum of a system is equal to the net external force acting on it.
Since the lattice ions exert a force on the charge carriers to maintain a steady drift velocity $v_{d} = \frac{eE\tau}{m}$,the momentum of the charge carrier is not conserved because the external force from the lattice is non-zero.
Furthermore,at a junction,the redistribution of charge creates localized electric fields that further alter the momentum of the charge carriers.

Explore More

Similar Questions

Derive the relation between electric current and drift velocity.

$A$ cylindrical resistor is connected across a battery $\varepsilon$. The cylinder has a uniform free electron density, and the middle part of the cylinder has a larger radius as shown in the figure. Which of the following graphs represents the variation of $V_d$ (drift velocity) with respect to $x$ (distance along the length of the resistor)?

$A$ current $I$ flows through a uniform wire of diameter $d$,when the mean drift velocity is $v_d$. The same current will flow through a wire of diameter $d/2$ made of the same material,if the mean drift velocity of the electrons is

$(a)$ Consider the circuit in the figure. How much energy is absorbed by electrons from the initial state of no current (ignore thermal motion) to the state of drift velocity?
$(b)$ Electrons give up energy at the rate of $R I^2$ per second to thermal energy. What time scale would one associate with the energy in problem $(a)$? Given: $n = 10^{29} \, m^{-3}$,length of circuit $l = 10 \, cm$,cross-section $A = (1 \, mm)^2$.

$A$ current $I$ is passing through a wire having two sections $P$ and $Q$ of uniform diameters $d$ and $d/2$ respectively. If the mean drift velocity of electrons in sections $P$ and $Q$ is denoted by $v_P$ and $v_Q$ respectively,then

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo