Ques.) Find the value of RL for the given network below that the power is maximum? And also find the Max Power through load-resistance RL by using maximum power transfer theorem?
For the above network, we are going to find-out the value of unknown resistance called “RL”. In previous post, I already show that when power is maximum through load-resistance is equals to the equivalent resistance between two ends of load-resistance after removing.
So, for finding load-resistance RL. We have to find-out the equivalent resistance like that for this circuit:-
Now, For finding Maximum Power through load-resistance we have to find-out the value of Vo.c.
Here, Vo.c is known as voltage between open circuits.
So, steps are:-
For this circuit using Mesh-analysis. We get
Applying Kvl in loop 1st:-
-14I1+8I2=-6 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙ (1)
Again, Applying Kvl in loop 2nd:-
8I1-25I2=0 ∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙∙ (2)
On solving,eqn (1) & eqn (2), We get
I1 = 0.524 A
I2 = 0.167 A
Now, From the circuit Vo.c is
VA-5I2- VB = 0
Vo.c/ VAB= 5I2 = 5X0.167 = 0.835v
So, the maximum power through the RL is given by:-