Parallel circuit

A parallel circuit is a connection of devices (generators, resistors, capacitors, coils, etc.) in which the input terminals of all the connected devices coincide with each other, as than their output terminals.

Following a hydraulic simile, two water tanks connected in parallel will have a common inlet that will feed, as well as a common outlet that will drain both at the same time. In homes all loads are connected in parallel in order to have the same voltage.

Analysis

Depending on the devices connected in parallel, the total or equivalent value is obtained with the following expressions:

• For generators

VT=V1=V2=...=Vn{displaystyle {V_{T}}={V_{1}}={V_{2}=

IT=I1+I2+...+In{displaystyle {I_{T}}={I_{1}} +{I_{2}} +...+{I_{n}}},}

• Also for Resistance

1RT=1R1+1R2+...+1Rn{displaystyle {1 over R_{T}}={1 over R_{1}}}}+{1 over R_{2}}+...+{1 over R_{n}}},}

• For Condensers

CT=C1+C2+...+Cn{displaystyle {C_{T}}={C_{1}} +{C_{2}} +...+{C_{n}}{,}

• For Switches

Interruptor A	Interruptor B	Interruptor C	Departure
Open	Open	Open	Open
Open	Open	Closed	Closed
Open	Closed	Open	Closed
Open	Closed	Closed	Closed
Closed	Open	Open	Closed
Closed	Open	Closed	Closed
Closed	Closed	Open	Closed
Closed	Closed	Closed	Closed

Rules of parallel circuits

Battery association: calculate the total voltage: (v1+v2+v3…)/vn → (Each component has the voltage of source A and B) series or parallel circuits serve to have an automatic repair of connections or automatic circuits such as a focus (lamp).