# voltage dividers

Figure 1 shows a voltage divider that consists of two resistors in series, connected to a voltage source. When resistors are placed in series the same current will flow through each of them. Using Ohm’s law we can calculate the current that flows through these resistors:

``````I = V / R
= 5 / R1 + R2
= 5 / 200
= 0.025A``````

Therefore the ammeter would register a value of 0.025A. Since the current flowing through the circuit will be the same at any point, placing the ammeter at any point in the circuit will register the same value!

By connecting two or more resistors in series we can divide up the supply voltage into smaller amounts, since each resistor will have a voltage drop across it that is dependent on its resistance. This is the concept of voltage dividers.

Because we know the supply voltage and the resistances, we can calculate the voltage drop across each resistor by using the formula:

``Vout = R2 / (R1 + R2) x Vin``

Substituting the formula with the values for the circuit in figure 1:

``````Vout = R2 / (R1 + R2) x Vin
= 100 / (100 + 100) x 5
= 100 / (200) x 5
= 2.5V``````

Therefore between points A and B the voltage will be 2.5V and between points B and C will be 2.5V.

Regardless of what the resistances are, as long as they are the same, the voltage across each one will be one-half of the voltage source!

Take a look at figure 2, where we now have 4 resistors. Once again, as long as all of the resistances are the same, the voltage across each resistor will be one-quarter of the voltage source.

Once again, let’s calculate what the voltage drop across each resistor is:

``````Vout = R1 / (R1 + R2 + R3 + R4) x Vin
= 100 / (100 + 100 + 100 + 100) x 5
= 100 / (400) x 5
= 1.25V``````

Therefore between points A and B the voltage will be 1.25V, between points B and C will be 1.25V and between points C and D will be 1.25V.

Hopefully, from these two examples, you can see how useful voltage dividers can be to divide up voltages where required.

In figure 1 we have a power supply connected to two resistors, which are in series. Since we know the supply voltage and the resistance of the resistors, we can calculate the voltage drop across each resistor. To calculate the voltage across each resistor we use this formula:

### power rating

As well as the resistance, there is another important value when using resistors, their power rating! Although voltage dividers are very useful, an important consideration is the power that is dissipated in the resistor! Resistors have a power rating, which is the maximum power that can be passed through them.

``````P = I2 x R