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| 184_notes:maxwells_eq [2017/11/30 22:26] – dmcpadden | 184_notes:maxwells_eq [2020/08/24 19:27] – dmcpadden |
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| Section 22.4 and 23.1 in Matter and Interactions (4th edition) | Section 22.4 and 23.1 in Matter and Interactions (4th edition) |
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| | /*[[184_notes:symmetry|Previous Page: Symmetry and Mathematical Tools]]*/ |
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| ===== Putting Together Maxwell's Equations ===== | ===== Putting Together Maxwell's Equations ===== |
| $$\int \vec{B} \bullet d\vec{l} = \mu_0 I_{enc} + \mu_0\epsilon_0\frac{d\Phi_E}{dt}$$ | $$\int \vec{B} \bullet d\vec{l} = \mu_0 I_{enc} + \mu_0\epsilon_0\frac{d\Phi_E}{dt}$$ |
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| These equations are important because, as we learned, once you have the [[184_notes:pc_field|electric]] or [[184_notes:moving_q|magnetic field]], you can relate those fields to the [[184_notes:pc_force|electric]] or [[184_notes:q_b_force|magnetic force]]; to [[184_notes:pc_energy|energy]], [[184_notes:pc_potential|electric potential]], or work; and apply those principles to circuit applications like [[184_notes:cap_in_cir|capacitors]], [[184_notes:r_energy|resistors]], and [[184_notes:current|current]]. Ultimately, with the [[184_notes:charge|conservation of charge]], these Maxwell's equations govern how charged particles behave and interact. | These equations are important because, as we learned, once you have the [[184_notes:pc_efield|electric]] or [[184_notes:moving_q|magnetic field]], you can relate those fields to the [[184_notes:pc_force|electric]] or [[184_notes:q_b_force|magnetic force]]; to [[184_notes:pc_energy|energy]], [[184_notes:pc_potential|electric potential]], or work; and apply those principles to circuit applications like [[184_notes:cap_in_cir|capacitors]], [[184_notes:r_energy|resistors]], and [[184_notes:current|current]]. Ultimately, with the [[184_notes:charge|conservation of charge]], these Maxwell's equations govern how charged particles behave and interact. |
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| ==== Limitations on Classical E&M ==== | ==== Limitations on Classical E&M ==== |