Electronics and Communication Engineering - Networks Analysis and Synthesis - Discussion

Discussion Forum : Networks Analysis and Synthesis - Section 1 (Q.No. 29)
29.
An infinite ladder is constructed with 1 Ω and 2 Ω resistors shown below.
8.18 A
0 A
9 A
can't determined
Answer: Option
Explanation:

R = 1 + (2 || R)

R = 2

.

Discussion:
6 comments Page 1 of 1.

Huma said:   8 years ago
Not understand.

If 2 is neglected why not output resistance 1?

Subbu said:   8 years ago
Rth=1+2//Rth.
=1+(2*Rth/2+Rth)
=(2+Rth+2Rth)/(2+Rth)
Rth(2+Rth)=2+3Rth
Rth^2-Rth-2=0
R=2.

V/R=18/2=9A.
(1)

Harsh goyal said:   9 years ago
2 ohm resistance across open circuit terminal. It will neglected then [1 + {2|| (1 + 1)}].

PRUDHVI said:   10 years ago
R = R1/2 + sqrt((R1*R1/4) + R1*R2).

Rahul said:   10 years ago
Apply Millman's theorem.

Suraj kumar said:   1 decade ago
Can anybody explain me the equation written for the total resistance?

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