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Lecture_23

Lecture_23 - Chapter 22 Faraday's Law Electric and Magnetic...

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Chapter 22 Faraday’s Law
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Moving charges make magnetic fields Magnetic fields affect moving charges Electric and magnetic fields depend on reference frame Change reference frame: magnetic field is converted into electric E x ' = E x E y ' = E y ! vB z ( ) ! v 2 / c 2 E z ' = E z + vB y ( ) ! v 2 / c 2 Time varying magnetic field can produce electric field! (magnetic induction) Electric and Magnetic Fields Electric and magnetic fields are interconnected
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Solenoid: inside d NI B 0 μ = outside 0 ! B Constant current: there will be no forces on charges outside (B=0, E=0) What if current is not constant in time? Let B increase in time E~1/r E~dB/dt Non-Coulomb E NC ! Changing Magnetic Field
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1. Coulomb electric field: produced by charges r r q E ˆ 4 1 2 1 0 1 !" = ! 2. Non-Coulomb electric field: using changing magnetic field r dt B d E 1 ~ 1 1 ! ! Same effect on charges: 1 2 21 E q F ! ! = Two Ways to Produce Electric Field Field outside of solenoid
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Right hand rule: Thumb in direction of fingers: E NC dt B d 1 !
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Lecture_23 - Chapter 22 Faraday's Law Electric and Magnetic...

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