(a) In Example 3.1, the electron drift speed is estimated to be only a few $mm s ^{-1}$ for currents in the range of a few amperes? How then is current established almost the instant a circuit is closed?
(b) The electron drift arises due to the force experienced by electrons in the electric field inside the conductor. But force should cause acceleration. Why then do the electrons acquire a steady average drift speed?
(c) If the electron drift speed is so small, and the electron's charge is small, how can we still obtain large amounts of current in a conductor?
(d) When electrons drift in a metal from lower to higher potential, does it mean that all the 'free' electrons of the metal are moving in the same direction?
(e) Are the paths of electrons straight lines between successive collisions (with the positive ions of the metal) in the (i) absence of electric field, (ii) presence of electric field?
Example-(3.2)
Download our app for free and get startedPlay store
(a) Electric field is established throughout the circuit, almost instantly (with the speed of light) causing at every point a local electron drift. Establishment of a current does not have to wait for electrons from one end of the conductor travelling to the other end. However, it does take a little while for the current to reach its steady value.
(b) Each 'free' electron does accelerate, increasing its drift speed until it collides with a positive ion of the metal. It loses its drift speed after collision but starts to accelerate and increases its drift speed again only to suffer a collision again and so on. On the average, therefore, electrons acquire only a drift speed.
(c) Simple, because the electron number density is enormous, $\sim 10^{29} m ^{-3}$.
(d) By no means. The drift velocity is superposed over the large random velocities of electrons.
(e) In the absence of electric field, the paths are straight lines; in the presence of electric field, the paths are, in general, curved.
art

Download our app
and 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

  • 1
    The four arms of a Wheatstone bridge $($Fig. $3.19)$ have the following resistances:
    $AB =100 \Omega, BC =10 \Omega, CD =5 \Omega \text {, and } DA =60 \Omega \text {. }$
    Image
    A galvanometer of $15 \Omega$ resistance is connected across $BD$. Calculate the current through the galvanometer when a potential difference of $10 V$ is maintained across $AC$.
    View Solution
  • 2
    A voltage of 30V is applied across a carbon resistor with first, second and third rings of blue, black and yellow colours respectively. Calculate the value of current in mA, through the resistor.
    View Solution
  • 3
    1. The potential difference applied across a given resistor is altered so that the heat produced per second increases by a factor of 9. By what factor does the applied potential difference change?
    2. In the figure shown, an ammeter A and a resistor of $4\Omega$ are connected to the terminals of the source. The emf of the source is 12 V having an internal resistance of $2\Omega$. Calculate the voltmeter and ammeter readings.
    View Solution
  • 4
    A resistance of $R$ draws current from a potentiometer. The potentiometer wire, $AB,$ has a total resistance of $R_o$. A voltage $V$ is supplied to the potentiometer. Derive an expression for the voltage across $R$ when the sliding contact is in the middle of potentiometer wire.
    View Solution
  • 5
    Three resistors $1\ \Omega,\ 2\ \Omega$ and $3\ \Omega$ are combined in series. What is the total resistance of the combination?
    If the combination is connected to a battery of emf $12 V$ and negligible internal resistance, obtain the potential drop across each resistor.
    View Solution
  • 6
    An ideal battery sends a current of 5A in a resistor. When another resistor of value $10\Omega$ is connected in parallel, the current through the battery is increased to 6A. Find the resistance of the first resistor.
    View Solution
  • 7
    A storage battery of emf $8.0 V$ and internal resistance $0.5\ \Omega$ is being charged by a $120 V\  dc$ supply using a series resistor of $15.5\ \Omega.$ What is the terminal voltage of the battery during charging? What is the purpose of having a series resistor in the charging circuit?
    View Solution
  • 8
    Calculate the current drawn from the battery in the given network shown here. State Kirchhoff’s loop law and name the law on which it is based.
    View Solution
  • 9
    How many time constants will elapse before the current in a charging RC circuit drops to half of its initial value? Answer the same question for a discharging RC circuit.
    View Solution
  • 10
    1. Calculate the equivalent resistance of the given electrical network between points A and B.
    2. Also calculate the current through CD and ACB, if a 10 V d.c. source is connected between A and B, and the value of R is assumed as 2 Ω.
    View Solution