Voltage division principle

In the series circuit shown above, E = V + V + V

This means that in a series connection,
the voltage drop in each of the resistors add up to the applied source voltage.
The series combination of R1, R2, and R3
becomes a voltage divider. In a series circuit, the ratio between any two
voltage drops is the same as the ratio of the two resistances across which
voltage drops occur.
Given any resistor in a voltage divider,

Example 1

A
continuously-variable terminal voltage is often preferred rather than fixed
voltage provided by the simple voltage divider shown in the example above. This
can be obtained by a voltage divider in which a sliding contact moves along a
wire wound or carbon – resistance element ti form a potentiometer as shown in
figure 3 below

Example 2:
A
certain component in an electric circuit requires an un-operating voltage of
25v at a current drain of 50mA. If the supply terminal voltage of 40v is
applied, what is the value of the series dropping resistor required?
Solution

Since the circuit is a
series connected circuit, the series dropping current (ID) is equal
to the load current (IL)
Therefore, the series
dropping resistance RD can be calculated thus

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