ECE 201 Lecture 16 Borja Peleato L and C combinations 1 L 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 resistors 2 Proof series 3 Proof parallel 4 C 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 conductances 5 Proofs 6 Example 7 Example 2 8 Example 3 9 Example 3 cont 10 Example 4 Find the equivalent capacitance seen by the resistor 8F 4F 4F R1 8F 8F 4F 4F 11 12 13
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