Raffaele Ilardo


Calculating a voltage divider


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In many electronic circuits there is sometimes the need of a lower voltage then the supply voltage; we can achieve this goal simply by using what is usually referred to as "voltage divider".
tensione di entrata e di uscita in partitore con due resistori
figura 1
This solution is valid only if the required current is minimal, as happens for example when you need to supply the correct voltage at the input of an operational amplifier.
The voltage divider, which is usually formed by two resistors, works by distributing the input voltage on each of the two resistors, in proportional parts. Figure 1 shows a classic case: a tension VIN is applied to the two resistances R1 and R2, and, at the intermediate point, a voltage VOUT is present, obviously always lower than VIN.
Calculating the voltages is quite simple; we can first calculate, for example, the current I flowing in the resistors:
I = VIN / (R1 + R2)
then we can calculate VOUT as a voltage drop across the resistance R2:
VOUT = I x R2
In the case shown in figure 1, we have R1 = 2.7 kΩ and R2 = 4.7 kΩ
If we suppose to supply the divider with a voltage VIN = 5 V, the current will be I = 5 / (R1+R2) = 5 / 7,4 = 0,6756 A
It follows that the output voltage will be VOUT = 4,7 x 0,6756 = 3,175 V

In practice, we can calculate the VOUT voltage simply with the formula:
VOUT = VIN x R2 / (R1 + R2)
reading boy

Referring to the resistances of common value (those of the commercial series, 5% tolerance) it can be quite boring to find the right combination of resistances to obtain a determined output voltage; in order to facilitate this choice, tables are shown below for three different input voltage values, and exactly for 5V, 9V and 12V.
You can use the following tables as the "math tables" of good memory.
You have to combine the value of R1, read in the upper horizontal line, with the value of R2, read in the left first column: in corrispondence of the cross point you can read the relative output voltage VOUT.

As an example: we need a voltage divider that, powered at 5V, outputs 1.75V.
Looking at the table below (the one for 5V power supply):
- in the row R2 = 1.5 we'll find the value 1.79
- in the row R2 = 1.8 we'll find the value 1.76
- in the row R2 = 2.2 we'll find the value 1.8
We can choose therefore the nearest value, 1.76 which corresponds to an R1= 3,3 kΩ and a R2 = 1,8 kΩ and with such resistances we will realize our voltage divider.

Tables for calculating the voltage divider

tabella di calcolo per partitore VIN=5V


tabella di calcolo per partitore VIN=9V


tabella di calcolo per partitore VIN=12V



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