Voltage And Current Sources Explained With Solved Numericals

Sources



Sources are of two types:
-          Voltage source
-          Current source
Similarly, sources can also be categorized as:

-          Independent source
-          Dependent source

Definition: An ideal independent source is an active element that provides a specified voltage or current which is completely independent of other current elements





An ideal dependent (or controlled) source is an active element in which the source quantity is controlled by another voltage or current.




There are four types of dependent sources:

-          Voltage controlled voltage source;
-          Current controlled voltage source;
-          Voltage controlled current source;
-          Current controlled current source.

Dependent sources are used in modeling elements such as transistors, op-amps etc.

Example of dependent source in a circuit:



-          The value of dependent source is 10i Volts (it’s a voltage source NOT current source).
-          Voltage source comes with polarity (+ -), while current source comes with arrow.
-          Any voltage some (depended or independent) can supply any current to ensure its terminal voltages remains as stated (rated). Therefore, for voltage source, we know the voltage but not current unless analyzed.
-          Similarly, any current (depended or independent) source can supply necessary voltage to ensure stated current flow. Therefore, for current source, we know the current but voltage unless analyzed.
-          An ideal source can therefore produce infinite amount of energy.
-          Sources can supply as well as absorb power.

Ex: Calculate the power supplied or absorbed by each element of the circuit below:


p = +vi (power absorbed)
p=-vi (power supplied)
p1 = -20 x 5 = -100W
p2 = 12 x 5 = 60W
p3 = 8 x 6 = 48W
p4 = -8 x 0.2(5) = -8W
p1 and p4 are supplying power;

p1 +  p+ p3 +  p4 = -100 + 60 + 48 -8 = 0W

Total power supplied is equal to total power absorbed.



Ex: Calculate the power supplied or absorbed by each element of the circuit below:



p1= -5 x 8= -40W
p2= 2 x 8= 16W
p4=3 x 5 = 15W
p3 = 0.6(5) x 3 = 9W
p1 + p+ p3 +  p4  =  -40+16+15+9 = 0


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