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College Physics

1st Edition
Paul Peter Urone + 1 other
Publisher: OpenStax College
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
Publisher: OpenStax College
ISBN: 9781938168000
Chapter 22, Problem 29PE
Textbook Problem
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Show that the Hall voltage across wires made of the same material, carrying identical currents, and subjected to the same magnetic field is inversely proportional to their diameters. (Hint Consider how drift velocity depends on wire diameter.)

To determine

Show that the Hall voltage induced is inversely proportional to the wire diameter.

Explanation of Solution

The hall voltage induced is given by the formula

ε=vBl ...... (1)

Here,

v is the electron velocity

B is the magnetic field

l is the length of the conductor

Now the drift velocity of the electron is given by the formula

v=InqA

Here,

n is the number of electrons per unit volume

q is the charge of the electron

A is the area

Rearranging the formula of drift velocity in terms of diameter

v=In

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Chapter 22 Solutions

College Physics
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Ch. 22 - Which of the particles in Figure 22.47 has the...Ch. 22 - Which of the particles in Figure 22.47 has the...Ch. 22 - While operating, a high-precision TV monitor is...Ch. 22 - Discuss how the Hall effect could be used to...Ch. 22 - Draw a sketch of the situation in Figure 22.30...Ch. 22 - Verify than the direction of the line force in an...Ch. 22 - Why would a magnetohydrodynamic drive work better...Ch. 22 - Which is more likely to interfere with compass...Ch. 22 - Draw a diagram and use RHR-l to show that the...Ch. 22 - Make a drawing and use RHR—2 to find the direction...Ch. 22 - Is the force attractive or repulsive between the...Ch. 22 - It you have three parallel wires in the same...Ch. 22 - Suppose two long straight wires run perpendicular...Ch. 22 - Use the right hand rules to show that the force...Ch. 22 - If one of the loops in Figure 22.49 is titled...Ch. 22 - Electric field lines can be shielded by me Faraday...Ch. 22 - Measurements at the weak and ?uctuating magnetic...Ch. 22 - 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(a) Viewers of Star Trek hear of an antimatter...Ch. 22 - (a) An oxygen16 ion with a mass at 2.661026kg...Ch. 22 - What radius circular path does an electron travel...Ch. 22 - A velocity selector in a mass spectrometer uses a...Ch. 22 - An electron in a TV CRT moves with a speed at...Ch. 22 - (a) At what speed will a proton move in a circular...Ch. 22 - A mass spectrometer is being used to separate...Ch. 22 - (a) Triply charged uranium-235 and uranium-238...Ch. 22 - A large water main is 2.50 m in diameter and the...Ch. 22 - What Hall voltage is produced by a 0.200T field...Ch. 22 - (a) What is the speed of a supersonic aircraft...Ch. 22 - A nonmechanical water meter could utilize the Hall...Ch. 22 - Calculate the Hall voltage induced on a patient’s...Ch. 22 - A Hall probe calibrated to read 1.00V when placed...Ch. 22 - Using information in Example 20.6, what would the...Ch. 22 - Show that the Hall voltage across wires made of...Ch. 22 - A patient with a pacemaker is mistakenly being...Ch. 22 - What is the direction of the magnetic force on the...Ch. 22 - What is the direction of a current that...Ch. 22 - What is the direction of the magnetic field that...Ch. 22 - (a) What is the force per meter on a lightning...Ch. 22 - (a) A DC power line for a light-rail system...Ch. 22 - What force is exerted on the water in an MHD drive...Ch. 22 - A wire carrying a 30.0-A current passes between...Ch. 22 - (a) A 0.750-m-long section of cable carrying...Ch. 22 - (a) What is the angle between a wire carrying an...Ch. 22 - The force on the rectangular loop of wire in the...Ch. 22 - (a) By how many percent is the torque of a motor...Ch. 22 - (a) What is me maximum torque on a 150Turn square...Ch. 22 - Find the current through a loop needed to create a...Ch. 22 - Calculate the magnetic field strength needed on a...Ch. 22 - Since the equation for torque on a...Ch. 22 - (a) At what angle (is the torque on a current loop...Ch. 22 - A proton has a magnetic field due to its spin on...Ch. 22 - (a) A 200Turn circular loop of radius 50.0 cm is...Ch. 22 - Repeat Exercise 22.41, but with the loop lying...Ch. 22 - (a) The hot and neutral wires supplying DC power...Ch. 22 - The force per meter between the two wires of a...Ch. 22 - A 2.50m segment of wire supplying current to the...Ch. 22 - The wire carrying 400 A to The motor of a commuter...Ch. 22 - An AC appliance cord has its hot and neutral wires...Ch. 22 - Figure 22.57 shows a long straight wire near a...Ch. 22 - Find the direction and magnitude of the force that...Ch. 22 - Find the direction and magnitude of the force that...Ch. 22 - Indicate whether the magnetic field created in...Ch. 22 - What are the directions of the fields in the...Ch. 22 - What are the directions of the currents in the...Ch. 22 - To see why an MRI utilizes iron to increase the...Ch. 22 - Inside a motor, 30.0 A passes through a 250-turn...Ch. 22 - Nonnuclear submarines use batteries for power when...Ch. 22 - How strong is the magnetic field inside a solenoid...Ch. 22 - What current is needed in the solenoid described...Ch. 22 - 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