Lecture 6 Capacitor and Inductor

# assuming current at t is 0 and i0 is the

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Unformatted text preview: d !! !!! ! ! !! !! ! ! •  The inductance of the !! ! !!! !! inductor is denoted !by L and has unit ! ! ! !! !" ! ! ! !!! ! of Henry (H), and can! be expressed as:! ! !! !!! ! !!! !!! ! !! !!! ! ! !! !! ! !!! ! !! ! ! ! 18 ! !! ! ! ! !! ! ! ! !! ! ! ! ! !! ! Inductor (Cont.) !" ! ! ! !" !! ! ! !! !! ! •  Using Maxwell’s equations, considering the magnetic flux !" ! ! ! !" ! ! ! ! ! !! ! ! !" ! ! with the number of turns, !" !!!! ! ! ! !! ! !"# !!! ! !" !!!!! !" !! !" !! ! ! !! ! !" !" !" ! !! !"# !!! !" !!! ! ! ! of ! !! ! •  Current-voltage relationship !" inductor with inductance L !" !" ! can be expressed as:!" ! !! ! ! ! !" ! 19 ! ! !" ! ! !" !!!! ! ! !! ! !"# !!! ! ! !" !!!! ! !" !" !" ! !! !"# !!!! !" !!! !! ! ! !! !"! !" Inductor (Cont.) !"! !! ! !" ! ! !" ! ! !" ! !! ! ! •  For DC circuit, ! = 0 ! !! ! !!, therefore inductor is a !" ! ! short circuit ! •  The symbol of inductor in a circuit is shown in the following figure :- 20 !! ! ! !" ! !" !! !" ! !" ! !! ! ! ! !" Inductor (Cont.) ! ! !! ! !! •  Current in terms of voltage :! ! ! ! !" ! !" ! ! !"! !! !" !! ! !! !! !!! !"# ! !"# ! ! !!!! ! !! !! •  Assuming current at t = -∞ is 0 and i(0) is the current through the conductor at t = 0 21 ! ! !" ! ! !" !!!! ! !! !"# !!! !" !!! !! ! ! !! ! !" !" !" ! Inductor (Cont.) !" ! !! ! ! ! !" •  Inductors in parallel ! ! !...
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