Electrical circuits lecture notes b. Tech

I
T
=
𝑽
𝑹
𝑻𝑯
=
20/3.23
=
6.19A 
The current 
I
in the branch ‘
ab’
with 2 Ω resistance is find by using current division rule. For 
that first find I
1 
current. 
I
1
=6.19
×
2
3.2+2
=
2.38A 
The current I in the ‘ab’ branch is 
I=2.38
×
3
3+2
=1.427A 
The current in the branch ‘
ab’
= 1.427 A
which is same as the current we got in branch ‘
cd’
when the voltage was given from branch ‘
ab’
.
Thus the 
reciprocity theorem
is verified. 
Tellegen’s Theorem
: 
This theorem is the one of the most general theorems in network analysis 
regardless to the type and nature, Tellegen’s theorem is applicable to any network made up of 
lumped two terminal elements. 
 
 

---

Tellegen’s Theorem Statement
: 
 
In any linear, non-linear, passive, active, time variant or time invariant network the 
algebraic sum of power at any given instant is zero. Thus for K
th 
branch, this theorem states that 
∑ 𝑣
𝐾
𝑖
𝐾
= 0
𝑛
𝐾=1
Where, n=Being the number of branches, 
V
K
=Voltage drop in the branch, 
I
K
=Current drop in the branch. 
It also evident that the sum of power delivered to the network is equal to the sum 
of power absorbed by the network elements. 
Steps For Solution Of a Network Utilizing Tellegen’s Theorem: 
1.
 
Find the branch voltage drops and corresponding branch currents using conventional analysis.