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Connecting Capacitors in Series and in Parallel

Connecting Capacitors in Series and in ParallelGoal: find equivalent capacitance of a singlecapacitor (simplifies circuit diagrams and makes iteasier to calculate circuit properties)Find Ceq interms of C1,C2,.. to satisfyCeq = Q/ VCapacitors in ParallelCapacitors in ParallelNote that both Capacitors are heldare same potential difference V: V1 = V2 = VTotal charge Q = Q1 + Q2Q = C1 V + C2 VCeq = Q/ V = (C1 V+C2 V)/ VCeq = C1 + C2 QCapacitors in ParallelFor N Capacitors in Parallel :Ceq = C1 + C2 + C3 + .. + CN C1 C2 C3 C4 Ceq bigger than any individual Cakin to having larger area:Area(Ceq) = Area1 + Area2+.. Capacitors in ParallelExample: Calculate CeqCeq = 2+5+2+9 F = 18 F 2 F5 F 2 F 9 FCapacitors in SeriesCapacitors in SeriesNote both Capacitors leftplates have equal positivecharge, +Q (and rightplates each have Q)Also: V = V1 + V2 V = Q/C1 + Q/C2 Ceq = Q/ V1/Ceq = V/Q1/Ceq = (Q/C1 + Q/C2)/Q1/Ceq = 1/C1 + 1/C2 Capacitors in SeriesFor N Capacitors in

Dielectrics C = κε 0 (A/d) For any given d, there’s a maximum electric field that can occur inside the dielectric above which conduction will occur. “Dielectric strength” For air …

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