Lesson 21-3 Magnetic Force

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    Lesson 21-3 Magnetic Force

    Homework

    Read pages 773-780 in Holt text.

    Complete lesson 7-3 in HomeworkHelpers: Physics.

    AP Physics Read pages 644-654 in

    College Physics. Check Moodle for additional assignments

    from this section.

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    Lesson 21-3 Magnetic Force

    Section Objectives

    Given the force on a charge in a magneticfield, determine the strength of themagnetic field.

    Use the right-hand rule to find the directionof the force on a charge moving through amagnetic field.

    Determine the magnitude and direction ofthe force on a wire carrying current in amagnetic field.

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    Lesson 21-3 Magnetic Force

    When a charged particle enters amagnetic field, it experiences a force.

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    Lesson 21-3 Magnetic Force

    The force experienced by the particle isat a right angle to both its velocity and

    the magnetic field.

    Movie Clip

    http://www.fordhamprep.org/moodle/file.php/32/PowerPoint_Lessons/Chapter_21_Magnetism/Lesson_21-3_Magnetic_Force/f=qvb%20and%20right%20hand%20rule.MOV
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    Lesson 21-3 Magnetic Force

    This deflection of charged particles by magneticfields is the basis behind CRT (cathode-raytube) monitors and T.V.s.

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    Lesson 21-3 Magnetic Force

    This effect can even beused to propel a

    submarine through theocean.

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    Lesson 21-3 Magnetic Force

    The direction of this force can bedetermined by the extended right-hand

    rule.

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    Lesson 21-3 Magnetic Force

    The direction ofthis force can be

    determined bythe extendedright-hand rule.

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    Lesson 21-3 Magnetic Force

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    Lesson 21-3 Magnetic Force

    Find the direction of the magnetic field (B)in each of the following diagrams.

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    Lesson 21-3 Magnetic Force

    The magnetic force willdeflect the charged particle.

    Because the charged particlechanges direction, thedirection of the force on italso changes. This results in

    circular motion.

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    Lesson 21-3 Magnetic Force

    Click on the image below to see a movingcharge enter a magnetic field.

    Movie Clip

    http://www.fordhamprep.org/moodle/file.php/32/PowerPoint_Lessons/Chapter_21_Magnetism/Lesson_21-3_Magnetic_Force/charged%20particle%20in%20magnetic%20field.MOV
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    Lesson 21-3 Magnetic Force

    Perhaps, you can see how Earths magneticfield directs charged particles towards thepoles, producing auroras.

    Movie Clip

    http://www.fordhamprep.org/moodle/file.php/32/PowerPoint_Lessons/Chapter_21_Magnetism/Lesson_21-3_Magnetic_Force/charged%20particle%20in%20earth's%20magnetic%20field.MOV
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    Lesson 21-3 Magnetic Force

    The extended right-hand rule can also beused to find the direction of the forceexperienced by a current-carrying wire in amagnetic field.

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    Lesson 21-3 Magnetic Force

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    Lesson 21-3 Magnetic Force

    Click on the image below to see anexample of the force experienced by acurrent-carrying wire in a magnetic field.

    Movie Clip

    http://www.fordhamprep.org/moodle/file.php/32/PowerPoint_Lessons/Chapter_21_Magnetism/Lesson_21-3_Magnetic_Force/force%20on%20current%20carrying%20wire.MOV
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    Lesson 21-3 Magnetic Force

    Click on the image below to try Physletillustration 27.4: Magnetic Forces on

    Currents.

    http://fordhamprep.org/physics/physlets/contents/electromagnetism/b_fields/illustration27_4.html
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    Lesson 21-3 Magnetic Force

    Imagine a current-carrying wire loop ina magnetic field.

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    The hand-rule shows an opposite forceon each side.

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    These opposite forces produce torque.

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    This torque is the basisfor common devices,such as thegalvanometer, motorand generator.

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    Lesson 21-3 Magnetic Force

    The magnitude of the force that a chargedparticle experiences when moving through amagnetic field is given by the formula below.

    BSinqFB

    Where; q = charge, = velocity of the charge,B = magnetic field strength and is =the anglebetween the field and the velocity vector.

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    When the velocity of the particle isperpendicular to the field, the simplifiedversion of the formula can be used, becausesin 90o = 1

    BqFB

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    Lesson 21-3 Magnetic Force

    The angle between the velocity vector andthe magnetic field must be taken intoaccount.

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    Lesson 21-3 Magnetic ForceExample 1. A proton entering a magnetic field with avelocity of 3.7 m/s at an angle of 55.0o experiences aforce of 3.4 x 10-3 N. Find the strength of the field.

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    Lesson 21-3 Magnetic ForceExample 1. A proton entering a magnetic field with avelocity of 3.7 m/s at an angle of 55.0o experiences aforce of 3.4 x 10-3 N. Find the strength of the field.

    Given:

    Find:

    Solution:

    q = 1.60 x 10-19 C = 3.7 m/s = 55.0o FB = 3.4 x 10

    -3 N

    B

    sinq

    F

    BB

    ))5.05m/s)(sinC)(3.710x((1.60

    N10x3.4

    o19-

    -3

    = 7.0 x 1015 T

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    Lesson 21-3 Magnetic Force

    The magnitude of the force that a current-carrying wire experiences in a magnetic fieldis given by the formula below.

    Where; B = magnetic field strength, I = current,= length, and is =the angle between the field

    and the orientation of the wire.

    SinBIFB

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    Lesson 21-3 Magnetic Force

    When the wire is perpendicular to the field,the simplified version of the formula may beused.

    BIFB

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    Lesson 21-3 Magnetic Force

    Example 2. A wire segment with a length of 1.3 mhas a steady current of 6.2 A through it. What is themagnitude of the force it would experience in a

    magnetic field measuring 2.3 x 10-4

    T if the wire isorientated 7.5o to the magnetic field?

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    Lesson 21-3 Magnetic Force

    Example 2. A wire segment with a length of 1.3 m hasa steady current of 6.2 A through it. What is themagnitude of the force it would experience in a magnetic

    field measuring 2.3 x 10-4

    T if the wire is orientated 7.5o

    to the magnetic field?

    Given:

    Find:

    Solution:

    I = 6.2 A = 1.3 m B = 2.3 x 10-4 T = 7.5o

    FB

    sinBIFB

    = (2.3 x 10-4 T)(6.2 A)(1.3 m)(sin 7.5o)

    = 2.4 x 10-4 N

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    Lesson 21-3 Magnetic Force

    Two parallel current-carrying wires exert onone another forces thatare equal in magnitudeand opposite in direction.

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    If the currents are in the same direction, thewires will attract.

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    Lesson 21-3 Magnetic Force

    If the currents are in the opposite direction,the wires will repel.

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    Lesson 21-3 Magnetic Force

    Summary

    The extended right-hand rule can be used

    to determine the direction of the forceexperienced by a charged particle movingthrough a magnetic field.

    The extended right-hand rule can also be

    used to determine the direction of the forceexperienced by a current-carrying wire in amagnetic field.

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    Lesson 21-3 Magnetic Force

    Summary - Formulas

    BSinqFB SinBIFB