Tag Archives: voltage divider

Find Voltage Using Voltage Division Rule


Determine voltage across R_2 and R_4 using voltage division rule.
Assume that
V_1=20 V, R_1=10 \Omega, R_2=5 \Omega, R_3=30 \Omega and R_4=10 \Omega
solve using voltage division rule

Solution:
Please note that the voltage division rule cannot be directly applied. This is to say that:
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Voltage Divider - Voltage Division Rule


The voltage division rule (voltage divider) is a simple rule which can be used in solving circuits to simplify the solution. Applying the voltage division rule can also solve simple circuits thoroughly. The statement of the rule is simple:

Voltage Division Rule: The voltage is divided between two series resistors in direct proportion to their resistance.


It is easy to prove this. In the following circuit

Voltage Divider

Voltage Divider

the Ohm's law implies that
 v_1(t)=R_1 i(t) (I)
 v_2(t)=R_2 i(t) (II)
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Problem 1-16: Voltage Divider


Find  V_x (or  v_x(t)) and  I_x (or  i_x) using voltage division rule.
a)
Voltage Divider Problem - A
b)
Voltage Divider Problem - B
c)
Voltage Divider Problem - C
d)
Voltage Divider Problem - D

Solution

a)
Voltage Divider Problem - A
Voltage divider:  V_x=\frac{5\Omega}{2\Omega+5\Omega}\times 14 V=10 V
Ohm's law:  I_x=\frac{V_x}{5 \Omega}=2 A
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