Analyzing the circuit - Part I

Hello everybody and welcome to the real example of a circuit analyzing! Today, we are going to start identifying the components of the circuit, their influences in the circuit and some magnitudes, as for example the total resistance.

Here we go!

Identifying components:

1 DC Voltage Source - with a value of 12 V.

 

7 Resistors - with values of:
R1 = 2 Ω
R2 = 3 Ω
R3 = 5 Ω
R4 = 7 Ω
R5 = 10 Ω
R6 = 12 Ω
R7 = 7 Ω

 

2 Capacitors - with values of:

C1 = 5mF

C2 = 15mF

 

1 Inductor (L1) - with a value of 0.8H.

Earth wire / Ground

Wires

Another useful components if you are working with an AC Power circuit could be:

1 AC Voltage Source - with a Vpk value of 475, 25 Hz and 0º.

 

Calculating the resistance:

Identifying the resistors position & colocation methods:

Calculating their values:

As we can see, to calculate the total resistance of the circuit we have to transform the parallel resistors into an only one resistor, which means that at the end we will be adding it as 4 different resistors in serie, as simple as possible.

Let´s go calculate Parallel 1:

1/Rtotal at P.1 = 1/2 + 1/3 + 1/5 ->

-> Rtotal at P.1 = 1/ (31/30) = 30/31 Ω

Now the Parallel 2:

1/Rtotal at P.2 = 1/10 + 1/12 ->

-> Rtotal at P.2 = 1/ (11/60) = 60/11 Ω

 

And now the Total Resistance:

As we say before the total resistance of the circuit is the sum of Parallel 1 + Serie 1 + Parallel 2 + Serie 2, because we are transform the Parallel values in to a Serie values, doing it we only have to add the 4 values and obtain the result:

Parallel 1 = 31/30 + Serie 1 = 7 + Parallel 2 = 60/11 + Serie 2 = 7 ->

-> Total resistance = 31/30 + 7 + 60/11 + 7 = 6761/330 Ω = 20,4 Ω





And this is our total circuit resistance analysis , after that we will continue with the voltage & current of the circuit right in the next chapter, don´t forget to check it!