L7_cap_induc_circuits

# L7_cap_induc_circuits - ESc 102 Introduction to Electronics...

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ESc 102: Introduction to Electronics Capacitors and Inductors Transient Response A.R. Harish Department of Electrical Engineering Aug 5

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Capacitor to measure the velocity of a projectile Projectile Circuit breaks on impact d 2 L7_cap_induc_circuits
Electromechanical Relay If the current needed to operate the relay is 50 mA, what is the relay delay time? t i L 80 mA 3 L7_cap_induc_circuits

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ms 2 = = RC τ RC Circuit 4 L7_cap_induc_circuits
RC Circuit ms 2 = = RC τ 5 [ ] τ t c c c c e v v v t v - + - + = ) ( ) 0 ( ) ( ) ( ; 0 ) 0 ( ; 1 ) ( = = + c c v V v 2 1 ) ( t c e t v - - = V e v c 63 . 0 1 ) 2 ( 2 2 = - = -

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RC Circuit ms 2 = RC τ 6 [ ] τ t c c c c e v v v t v - + - + = ) ( ) 0 ( ) ( ) ( ; 63 . 0 ) 0 ( ; 0 ) ( V v v c c = = + ( 29 4 2 ; 63 . 0 ) ( 2 2 = - - t e t v t c V e v c 23 . 0 63 . 0 ) 4 ( 2 2 = = - time t is in ms
RC Circuit ms 2 = RC τ 7 t (ms) v c (t) (V) 0 0 2 0.63 4 0.23 6 0.72 8 0.265 10 0.73 12 0.269 14 0.731 16 0.269

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V min V max t A t B t C v c ( t A ) v c ( t B ) v c ( t C ) RC Circuit – Steady State 8 L7_cap_induc_circuits
[ ] ( 29 τ A t t A c c e V t v V t v - - - + = max max ) ( ) ( B A t t t [ ] ( 29 τ B t t B c c e V t v V t v - - - + = min min ) ( ) ( C B t t t [ ] τ t c c c c e v v v t v - + - + = ) ( ) 0 ( ) ( ) ( t A t B t

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