MIT 8 02X - Electricity and Magnetism (57 pages)

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Electricity and Magnetism



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Electricity and Magnetism

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Pages:
57
School:
Massachusetts Institute of Technology
Course:
8 02x - Physics II: Electricity & Magnetism with an Experimental Focus

Unformatted text preview:

Electricity and Magnetism Review Self and mutual inductance Energy in B Field LR circuit LRC circuits and Oscillations AC circuits Displacement current Maxwell s equations EM waves May 6 2002 Mutual Inductance Transformer action s p Ns Np B Secondary s Ns d B dt Ns same Primary Np p Np d B dt IAC I0 sin t Flux through single turn May 6 2002 Mutual Inductance s p Ns Np Transformer action Transformers allow change of amplitude for AC voltage ratio of secondary to primary windings Constructed such that B identical for primary and secondary What about general case of two coils May 6 2002 Mutual Inductance B B B I1 B Def M12 N2 B I1 N2 May 6 2002 N1 I1 Mutal Inductance Coupling is symmetric M12 M21 M M depends only on Geometry and Material Mutual inductance gives strength of coupling between two coils conductors 2 N2 d B dt M dI1 dt M relates 2 and 1 or 1 and 2 Units M V A s V s A H Henry May 6 2002 Example Two Solenoids Length l Q How big is M N2 B I1 A M 0 N1N2 A l N2 N1 Area A May 6 2002 In Class Demo Two Coils Radio Speaker Signal transmitted by varying B Field Coupling depends on Geometry angle distance May 6 2002 In Class Demo Marconi Coils Spring Iron Secondary Primary NP NS NS Battery May 6 2002 NP Switch Self Inductance Circuit sees flux generated by it self B Def L N B I Self Inductance I May 6 2002 Example Solenoid B Q How big is L A L 0 N2 A L I May 6 2002 Self Inductance L is also measured in H L connects induced EMF and variation in current L dI dt Remember Lenz Rule Induced EMF will act against change in current effective inertia Delay between current and voltage May 6 2002 In Class Demo Levitating Coil IAC I0 sin t Iind d B dt cos t IAC Without delay 0 No net force May 6 2002 Iind t In Class Demo Levitating Coil IAC I0 sin t Iind d B dt cos t IAC With delay 0 Net repulsion currents are I ind opposite most of the time May 6 2002 t RL Circuits L L dI dt R 2 1 V RI V0 Kirchoffs Rule V0 ind R I V0 L dI dt R I Q What is I t May 6 2002 RL Circuits I t 63 t L R



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