1• L and C combinationsECE 201: Lecture 16Borja PeleatoL combinations• Series:– Inductors are coils, if you put one coil in series with another, it is like having a coil twice as long– Leq=L1+L2+…+LN• Parallel:– The current splits among the inductors, so the total inductance decreases–• Inductors combine in the same way as resistors2Proof (series)3Proof (parallel)4C combinations• Series:– The voltage splits among the capacitors, so their effect becomes weaker–• Parallel:– Connecting two capacitors in parallel is like adding the area of the plates, they can hold more charges– Ceq=C1+C2+…+CN• Capacitors are combined as conductances5Proofs6Example7Example 28Example 39Example 3 (cont)10Example 4Find the equivalent capacitance seen by the resistor:114F 4F4F
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