Lecture-15

Lecture-15 - Lecture-15 Mutual Inductance AC current I1 in...

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1 Lecture-15 Mutual Inductance AC c urrent I 1 in N 1 -turn coil produces B 1 , which is intercepted by N 2 -turn coil as magnetic flux: Induced emf is generated in coil 2 as: Here we obtain mutual inductance M 21 as magnetic property of two coils according to their geometry: Note M 21 only contains geometries of two coils. Example : Solenoid and another coil on it. 1 2 1 2 1 2 1 1 1 ) ( ˆ I A N l N N A B z I l N B o o 12 2 1 21 M A N l N M o   (N 1 ) (N 2 ) z l dt dI M A N l N d o 1 21 2 1 2 1 2 2
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2 An Application Electrical Transformers - Device to increase or decrease voltage amplitude of an oscillating voltage signal - Step-up (or step-down) transformer, depending on ratio of number of turns of primary and secondary windings of coils: Step-Up Transformer: 1 ) / ( P S P S P S N N where N N V V Step-Down Transformer: 1 ) / ( P S P S P S N N where N N V V Step-Down: Input: T 1 -T 3 Output: T 1 -T 2 Step-Up: Input: T 1 -T 2 Output: T 1 -T 3
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3 Energy Stored in Magnetic Field When current I flows in an inductor, power is being supplied to the inductor: Work required to increase current by dI in time interval dt is Thus This work is stored as potential energy in
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Lecture-15 - Lecture-15 Mutual Inductance AC current I1 in...

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