Question

two conductors of equal length and radii in the ratio of 2:3 are connected in parallel source of electricity
The ratio of the velocity of electrons in the conductor be:​

Answer 1

Answer:

4:9

Explanation:

4:9 is the correct answer.

Answer 2

Given: Two conductors of equal length and radii in the ratio of 2:3 are connected in parallel source of electricity.

To find: The ratio of the velocity of electrons in the conductor.

Solution:

• The relation of current through the conductor (I), number of electrons (n), charge of an electron (e), area of the conductor (A) and the drift velocity of electrons($v_{d}$) is given by the formula,

        $I = neAv_{d}$

• The area of the conductor is inversely proportional to the drift velocity of the electrons in the conductor.

• The area of the conductor is directly proportional to the square of the radius of it.

• So, the square of the radius is inversely proportional to the drift velocity of the electrons in the conductor.

        $\frac{v_{1}}{v_{2}} = \frac{r_{2}^{2}}{r_{1}^{2}}$

             $= \frac{9}{4}$

Therefore, the ratio of the velocity of electrons in the conductor is 9:4.