Chapter_28 - Chapter 28 Sources of magnetic field...

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Chapter 28 Sources of magnetic field Responsible for sections 1-7
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Overview of course • An electric charge in an electric field experiences a force (Chpt. 21) F E = q E • where vectors are bold • A moving charge in a magnetic field experiences a force (Chpt. 27) F B = q v × B
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Sources of electric and magnetic fields Maxwell’s equations • Electric charge creates conservative electric field E (Chpts. 21 and 22) • Magnetic monopoles do not exist (Chpt. 27 and 29) • Changing magnetic flux creates non-conservative E field (Chpt. 29) • Moving charge and changing electric flux create magnetic field B (Chpts. 27, 28, and 29)
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Magnetic field of a moving charge B q r v B = ( μ 0 q/4 π r 2 ) v × r /r Note: text writes equation in terms of the unit vector r /r
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Magnetic field of a current element dB r dl I dB = ( μ 0 I/4 π r 2 ) dl × r /r Integrate this expression with respect to dl along the length of the wire to obtain the total magnetic field B .
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Example: 28.5 q q v v q = 4.0 μ C q = 1.5 μ C v = 2.0 × 10 5 m/s v = 8.0 ×
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Chapter_28 - Chapter 28 Sources of magnetic field...

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