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## Homework Statement

[See the figure attached]

a) Find the relation between velocity of electron v and current I.

b) Because of the magnetic force on the electron they move at the edge of

conductor as shown in the figure and create a electrostatic force that oppomagnetostatic force. Find the expression for electrostatic force and magnetforce when they balance each other.

c) At equilibrium find an expression for Hall voltage V

in terms of magneelectron’s velocity v and width d.

H

Now, in a Hall-effect experiment, a current of 3.0 A sent lengthwise through a co1.0 cm wide, 4.0 cm long, and 10 mm thick produces a transverse (across the wpotential difference of 10 mV when a magnetic field of 1.5 T is passed perpendihrough the thickness of the conductor. From these data, find the number of elper unit volume of the conductor.

## Homework Equations

The Hall effect is the production of a voltage difference (the Hall voltage) across

an electrical conductor, transverse to an electric current in the conductor and a magnetic

field perpendicular to the current..The magnetostatic force acting on a moving charge passing through uniform magnetic field is given by,F = qvB. Where, B = magnetic field strength (unit Tesla), v =

velocity of charged particle that is perpendicular to the magnetic field lines. F is

perpendicular to both velocity and magnetic field.

## The Attempt at a Solution

Hall Voltage seems different from the normal textbook voltage problems that I have encountered. So, I couldn't make some satisfactory advancement.