Identifying series and parallel connections

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SUMMARY

The discussion focuses on identifying series and parallel connections in electrical circuits, specifically regarding capacitors. It establishes that capacitors connected between the same two points are in parallel, while those sharing a single node exclusively are in series. The conversation emphasizes the importance of understanding circuit topology and provides visual aids, such as color-coding nodes, to differentiate between connections. The participants clarify that a node is a conductive path where two or more components connect, and only two components can be in series at any given node.

PREREQUISITES
  • Understanding of basic electrical components: capacitors, resistors, and batteries.
  • Knowledge of circuit topology and node definitions.
  • Familiarity with series and parallel circuit configurations.
  • Ability to interpret circuit diagrams and identify connections.
NEXT STEPS
  • Learn about Kirchhoff's laws for analyzing complex circuits.
  • Study the implications of capacitor arrangements in AC circuits.
  • Explore advanced circuit simulation tools like LTspice or Multisim.
  • Investigate the effects of capacitor values on circuit performance.
USEFUL FOR

Electrical engineering students, hobbyists building circuits, educators teaching circuit theory, and anyone looking to deepen their understanding of series and parallel connections in electrical systems.

  • #91
gneill said:
A wire is a equivalent to a zero valued resistance
Wires will always be there in a circuit,then this means all the circuits short circuited.Of course not,what am I missing?
 
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  • #92
I now understand how tha answer came out to be ##\frac{3C}{4}##
But I am still facing difficulty in comprehending the following
gneill said:
A wire is a equivalent to a zero valued resistance. The parallel pair on the right was shorted by the wire going over/around it.
 
  • #93
gracy said:
Wires will always be there in a circuit,then won't this all the circuits are short circuited?Of course not,what am I missing?
Go back to the discussion of what a "short circuit" means. It means a bypass (either intentional or accidental) of a normal circuit path. Wires (paths) that are supposed to be there to interconnect components are just doing what they were meant to do.

In the circuit under discussion two of the capacitors are bypassed by a wire. Whether this was intentional (i.e. a "trick" for you to discover) or an accident (the author of the problem made a mistake) cannot be known for sure, but because it is not a proper situation to have for a practical circuit (why would one design a circuit with parts that do nothing?) we call that path a short circuit: the subcircuit comprising the two capacitors is shorted. Current will not flow in that subcircuit due to the bypass.
 
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