What is the relation between drift velocity and electric field?

Mobility m is defined as the magnitude of drift velocity per unit of an electric field. Therefore, 

m = |Vd|/E = qt/m

The SI unit used to represent mobility is m2/Vs. It is a positive quantity.

Vd = mE

This is the relation between the drift velocity of an electron and the applied electric field.

Drift velocity varies with the electric field intensity and is given by the formula \(\begin{array}{l}V_{d}\propto E\end{array}\)


Related Questions

  1. Give two examples of drift velocity.
  2. What Are Two Kinds Of Electricity?
  3. Why Potentiometer Is Preferred Over Voltmeter?
  4. Two conducting wires X and Y of the same diameter but different materials are joined in series across a battery. If the number density of electrons in X is twice that in Y, find the ratio of the drift velocity of electrons in the two wires.
  5. It is known that the drift velocity of electrons is only a few mm/s for a current of a few amperes. How is it possible that a current is established almost instantaneously when a circuit is closed? For example, a bulb glows as soon as the connection is switched on. Explain.

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CBSE CLASS XII Related Questions

  • 1.
    The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.


      • 2.
        Read the following paragraph and answer the questions that follow.
        In an experiment with convex lens of focal length f, the screen is fixed at a distance D from the object. A student slowly moves the lens away from the object towards the screen and finds that she is able to form sharp image of the object for two positions of the lens. The distance between these two positions of the lens is d.


          • 3.
            A charged particle $+q$ in an electric field $\vec{E}$ experiences a force in the direction of the electric field. As a result, its kinetic energy changes. Similarly, the charged particle also experiences a force when it moves in a magnetic field $\vec{B}$. But this magnetic force is perpendicular to both velocity $\vec{v}$ of the charged particle and the magnetic field $\vec{B}$, so it cannot change the kinetic energy of the charged particle. Consider two charged particles 1 and 2 of masses $m$ and $\frac{m}{2}$ having charges $-q$ and $+2q$ respectively. They are accelerated from rest through the same potential difference $V$ and acquire kinetic energy $K_1$ and $K_2$. Then they enter in a region of uniform magnetic field $\vec{B}$ perpendicular to their velocities.


              • 4.
                With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.


                  • 5.
                    Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

                      • The total charge of the two spheres is conserved.
                      • Both spheres attain the same potential.
                      • The final potential of the system equals $\frac{1}{4\pi\epsilon_0} \frac{(q_1 + q_2)}{(r_1 + r_2)}$
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                    • 6.
                      Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

                        • \( (M_x - M_z)<M_y \)
                        • \( (M_x - M_y)<M_z \)
                        • \( M_x>(M_y + M_z) \)
                        • \( M_x<(M_y + M_z) \)
                      CBSE CLASS XII Previous Year Papers

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