Individual resistors will be connected along in a parallel connection, a series connection or both of each series and parallel, to supply additional advanced resistors network whose equivalent resistances is that the arithmetical combination of the individual resistor connected along.

Resistors are connected in series or sophisticated resistance Networks will be interchanged by one single equivalent resistance R

_{EQ}or Impedance Z_{EQ}and notwithstanding what the mixture or complexness of the resistance network is all resistors confirm identical basic rules as outlined by Ohm’s Law and Kirchhoff’s Circuit Laws.###
**Connecting Resistors in Series**

Resistors are aforementioned to be connected in “Series“, once they are flower bound along in an exceedingly single line. Ever since altogether the current rolling through the primary resistor has no different thanks to go it should additionally go through the second resistor and therefore the third so going on. Then, resistors connected in series have a standard current flowing through them because the current that flows through single resistor should additionally drift through the other resistors because it will solely take one path.

Then the quantity of current that drifts through a collections of resistor in series will be equal at all points in an exceedingly series resistors network.

**Example: I**

_{R1 }**= I**

_{R2 }**= I**

_{R3 }**= I**

_{AB }**= 1mA**

The figure below shows the resistors R

_{1}, R_{2}and R_{3}are all connected in series between the node A and node B with a common current, I rolling through them.
As the resistor are connected along series a similar current passes through every resistor within the chain and therefore the total resistance, RT of the circuit should be capable the total of all the individual resistors supplemental along.

(ie)

**R**_{T}=R_{1}+R_{2}+R_{3}
and by taking the separate values of the resistors in our easy example above shown, the overall equivalent resistance, R

_{EQ}is thus given as:

**R**

_{EQ}=R_{1}+R_{2}+R_{3}= 2**K**

**Î©**

**+ 4K**

**Î© +**

**6K**

**Î©=**

**12K**

**Î©**

So we tend to see that we will replace all 3 individual resistors higher than with only 1 single “equivalent” resistor which is able to have a worth of 12kÎ©.

Where four, 5 or perhaps additional resistors are all connected along in an exceedingly series circuit, the overall or equivalent resistance of the circuit, R

_{T}would quiet be the total of all the individual resistors connected along and therefore the additional resistors supplemental to the series, the larger the equivalent resistance.
This entire resistance is usually called the Equivalent Resistance and might be outlined as; “a single values of resistance that may replace any variety of resistors in series without changing the values of the current or the voltage within the circuit“. Then the equation set for varying total resistance of the circuit once connecting along resistors asynchronous is given as:

**R**

_{Total}= R_{1}+R_{2}+R_{3}+......+R_{n}etc.
Note then the overall or equivalent resistance, RT has a similar impact on the circuit because the original combinations of resistor because it is that the pure mathematics total of the individual resistances. One vital purpose to recollect regarding resistors in series networks to see that your math’s is correct. The overall resistance (R

_{T}) of any 2 or additional resistors connected along series can continually be larger than the worth of the biggest resistor within the chain. In our example higher than R_{T}=12kÎ© wherever because the largest worth resistor is just 12kÎ©.
The voltage across every resistor connected series follows totally different rules thereto of the series current. We all know from the higher than circuit that the overall offer voltage across the resistors is capable the total of the potential variations across R

_{1}, R_{2}and R_{3}, V_{AB}=VR_{1}+VR_{2}+VR_{3}=12V.
Using Ohm’s Law, the voltage across the individual resistors will be calculated:

giving a complete voltage VAB of (2V + 4V + 6V) = 12V that is capable the value of the availability voltage. Then the total of the potential voltage drop across the resistors is capable the overall potential difference across the mix and in our example this is often 12V.

The equation given for calculating the overall voltage in a series circuit which is that the total of all the individual voltages supplemental along is given as:

**R**

_{Total}= V_{R1}+V_{R2}+V_{R3}+......+V_{Rn}etc.

Then series resistor networks also can be thought of as “voltage dividers” and a series resistor circuit having N resistive parts can have N nos. of different voltage across it whereas maintaining a standard current.

By exploitation Ohm's Law, either the current, voltage or resistance of whichever series connected circuit will simply be found and resistors of series circuits will be interchanged while not moving the overall resistance, current, or power to every resistor.