Show that the magnitude of drift velocity V of charge carriers in a conductor of thickness d, placed in a magnetic field B is by the expression: V=E/Bd where E is the Hall voltage. Hence or otherwise obtain an expression for the density of charge carriers as n=I/eVA where symbols have their usual meanings.

Show that the magnitude of drift velocity V of charge carriers in a conductor of thickness d, placed in a magnetic field B is by the expression: V=E/Bd where E is the Hall voltage. Hence or otherwise obtain an expression for the density of charge carriers as n=I/eVA where symbols have their usual meanings.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 93AP: The density of charge carriers far copper is 8.471028 electrons per cubic meter. What will be the...

See similar textbooks

Similar questions

A strip of copper is placed in a uniform magnetic field of magnitude 2.5 T. The Hall electric field is measured to be 1.5103V/m (a) What is the drift speed of the conduction electrons? (b) Assuming that n =8.01028 elections per cubic meter and that the cross-sectional area of the strip is 5.0106m2 , calculate the current in the ship, (c) What is the Hall coefficient 1/nq?
The density of charge carriers far copper is 8.471028 electrons per cubic meter. What will be the Hall voltage reading from a probe made up of 3cm2cm1cm ( (LWT) ) copper plate when a current of 1.5 A is passed through it in a magnetic field of 2.5 T perpendicular to the 3cm2cm .
Unreasonable results Frustrated by the small Hall voltage obtained in blood flow measurements, a medical physicist decides to increase the applied magnetic field strength to get a 0.500-V output for blood moving at 30.0 cm/s in a 1.50-cm-diameter vessel. (a) What magnetic field strength is needed? (b) What is unreasonable about this result? (C) Which premise is responsible?
Is B constant in magnitude for points that lie on a magnetic field line?
A circular loop of wire of radius 10 cm is mounted on a vertical shaft and rotated at a frequency of 5 cycles per second in a region of uniform magnetic field of 2 Gauss perpendicular to the axis of rotation, (a) Find an expression for the time-dependent flux through the ring, (b) Determine the time-dependent current through the ring if it has a resistance of 10
Hall potentials are much larger for poor conductors than for good conductors. Why?
A square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic field perpendicular to the loop is changing at a rate of 5.0 mT/s, what is the current in the loop?
A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.
Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .
A circular loop of wire of radius 10 cm. is mounted on a vertical shaft and rotated at a frequency of 5 cycles per second in a region of uniform magnetic field of 2104T perpendicular to the arcs of rotation, (a) Find an Expression for the time-dependent flux through the ring (b) Determine die time-dependent current through the ring if it has a resistance of 10.
Check Your Understanding (a) What is the magnetic flux through one turn of a solenoid of self- inductance 8.0 × 10-5 H when a current of 3.0 A flows through it? Assume that the solenoid has 1000 turns and is wound from wire of diameter 1.0 mm. (b) What is the cross-sectional area of the solenoid?
The magnetic flux through the loop shown in the accompanying figure varies with time according to m=2.00e3tsin(120t) , where m is in milliwebers. What are the direction and magnitude of the current through the 5.00 resistor at (a) t= 0; (b) t=2.17102 s and (c)t=3.00 s?