Sunday 19 August 2012

Solved Problem Based On Superposition Theorem

Solved Problem Based On Superposition Theorem

Ques.) Find the current through 10 Ω resistance in the given network by using superposition theorem?


Solution:-For finding current through 10Ω resistance by using superposition theorem, we follows same step as we discussed in previous post.
Activating ‘16V’ source at a time, other will be deactivated.
 
After deactivation of ‘16A’ current source, two individual box are seem clearly in which we can easily applying mesh analysis for finding current through 10Ω resistance when ‘16V’ voltage source is active. You can  also use nodal analysis or ohm’s law with current division rule.
I am not going to discussed how to solve a circuit through mesh analysis which I already discussed. If you want to know How to solve a circuit through mesh analysis, click here.
{Hints: -    Equations are,
  -8I1+4I2=-16       ··············· (1)
  4I1-18I2=0          ··············· (2)      }

 So, after solving this circuit, we get
 I1 =   2.25A          &          I2 =   0.5A
Then, I10Ω = I2 = 0.5A
Activating ‘16A’ source at a time, other will be deactivated.
After deactivation of ‘16V’ voltage source, we can one step reduced circuit and applying current division rule. By applying current division rule, we can easily find the value of current in 10Ω resistance.
 
By current division rule,
I1 = 4A
I2 = 12A
So, I10Ω = I1 = 4A
Now, final circuit is in which all the source will be activated. Direction of current when single source is active and other is deactivated through 10Ω resistance will be shown with their value, as shown below
At last, the current through 10Ω resistance is 3.5A and greater current has their direction as shown below.
Answer: -    I10Ω = 3.5A

10 comments:

Unknown said...

Thanks, it's very easy to understand and I have clear my concept.

Admin said...

Thanks ansar Shehzad for your comment.

Harpreet Singh said...

You are great ER ZOHAIB HASSAN...
Very simply, you represent all these concepts...I Hope, you will do well for us for understanding these concepts....!

Admin said...

Thanks,Harpreet Singh.

Unknown said...

Thanks "Hassan".., You made this easier...

Naveen Subramanian said...

nice

Unknown said...

QED

supriya said...

in solved problem why the one step is reduced.how to get 2 ohm resistor

Unknown said...

Hi, I have solved it but in current discussion method I get I1=4.6 instead of 4

Unknown said...

How to got 3.5 in last one please tell me fast