Home
Class 12
PHYSICS
A total of 6.0xx10^(16) electrons pass t...

A total of `6.0xx10^(16)` electrons pass through any cross - section of a conducting wire per second. Find the current.

Text Solution

AI Generated Solution

To find the current flowing through a conducting wire when a certain number of electrons pass through a cross-section per second, we can follow these steps: ### Step 1: Identify the number of electrons and the charge of an electron We are given that a total of \(6.0 \times 10^{16}\) electrons pass through a cross-section of the wire per second. The charge of a single electron is approximately \(1.6 \times 10^{-19}\) coulombs. ### Step 2: Calculate the total charge (Q) passing through the wire The total charge \(Q\) can be calculated using the formula: \[ ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    AAKASH SERIES|Exercise EXERCISE - IA|2 Videos
  • CURRENT ELECTRICITY

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II PRACTICE SHEET (ADVANCED) (Linked Comprehension Type Questions))|9 Videos
  • CURRENT ELECTRICITY

    AAKASH SERIES|Exercise PROBLEMS (LEVEL-II)|27 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    AAKASH SERIES|Exercise PRACTICE EXERCISEX|42 Videos

Similar Questions

Explore conceptually related problems

A charge 0.5 C passes through a cross section of a conductor in 5 s . Find the current.

An electorn beam has an aperture 1.0 mm^(2) . A totak of 6.0xx10^(16) electons go through any perpendicular cross section per second. Find(a) the current and (b) the current density in the beam.

An electron beam has an aperture of 2mm^(2) . A total of 7xx10^(16) electrons flow through any perpendicular cross-section per second. Calculate the current density in the electron beam.

A typical copper wire might have 2xx10^(21) free electrons in 1 cm of its length. Suppose that the dirft speed of the electrons along the wire is 0.05 cm s^(-1). How many electrons would pass through a given cross section of the wire each second. How large would a current be flowing in the wire?

A flow of 10^(7) electrons per second in a conducing wire constitutes a current of .

If 10^(6) electrons/s are flowing through an area of cross section of 10^(-4) m^(2) then the current will be:-

The length of a current-carrying cylindrical conductor is l, its area of cross-section is A, the number density of free electrons in it is n, and the drift velocity of electrons in it is v_d . The number of electrons passing through a particular cross-section of the conductor per unit time is given by:

In a metal in the solid state, such as a copper wire, the atoms are strongly bound to one another and occupĂ˝ fixed positions. Some electrons (called the conductor electrons) are free to move in the body of the metal while the other are strongly bound to their atoms. In good conductors, the number of free electrons is very large of the order of 10^(28) electrons per cubic metre in copper. The free electrons are in random motion and keep colliding with atoms. At room temperature, they move with velocities of the order of 10^5 m/s. These velocities are completely random and there is not net flow of charge in any directions. If a potential difference is maintained between the ends of the metal wire (by connecting it across a battery), an electric field is set up which accelerates the free electrons: These accelerated electrons frequently collide with the atoms of the conductor, as a result, they acquire a constant speed called the drift speed which is given by V_e = 1/enA where I = current in the conductor due to drifting electrons, e = charge of electron, n = number of free electrons per unit volume of the conductor and A = area of cross-section of the conductor. A current of 1 A flows through a copper wire. The number of electrons passing through any cross-section of the wire in 1.6 sec is (charge of a electron = 1.6 xx 10^(-19 c) .

n electrons flow through a cross section of a conductor in time t. If charge on an electron is e, then write an expression for the current in the conductor.

A flow of 10^12 electrons per minute in a conducting wire constitutes a current of