Equivalent Resistance (Solved Problem 3)

Network Theory: Solved Question 3 on the calculation of Equivalent Resistance
Topics discussed:
1) Infinite ladder network.
2) The equivalent resistance of an infinite ladder network.
3) GATE 2014 problem on the infinite ladder network.

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[udaykiran]

divide 2r into r+r in series
rc=r+((1+sqrt(5))/2)r
rc/r=(3+sqrt(5))/2=2.61

[hemantshesh]

Repeated circuit equivalent is R(1.62). It is parallel with R. which gives R(1.62)/2.62 and this is in series with 2R.
Upon dividing with R, it gives 2+ (1.62/2.62) . solving this it gives 2.61

[saikatkundu]

first we have to take for the 2nd circuit that is Req= R+(R || Req).
Then taking the value and apply to the first circuit that s Re= 2R+(R || Req ), Here in the place of Req put the result of previous Req , and solved .. The ans is 2.61

[surajkantsharma]

The homework question is little bit tricky after one ladder... It makes ladder of infinite resistance R.
Now let Req is the equivalent resistance for infinite ladder which gived equation (Req^2-RReq-R^2) after solving this we get Req= (R+2R√2)/2.
Now Re is the equivalent resistance of whole ladder network.
So Re= (Req||R) +2R after solving this
Re/R = (7+6√2) /(3+2√2)
Re/R = 2.65ohm will be the answer.

[mikelibanezmartinez]

Most of you are assuming some value to R in the homework, but the problem is not telling you that, it only says "R". So: the infinite leader of "R and R" its equal to: Rinf=R((-1+sqr(5))/2) => Rinf is in series with 2R so Re = Rinf + 2R and the result required is: Re = R * ((3+sqr(5))/2). If you substitute R by 1ohm you got the result 2.618... but I think in this problem numerical result it's not required, but yes a general letters result. Thanks for your classes.

[Manideep]

Seperate 2R as R+R
Since we know the infinite circuit resistance is (1+sqrt(5))/2.
Req=R+R(1+...)/2
Ans=2.62

[dharavathnavya]

Sir, please provide the solution of homework problems in the next videos, it creates more interest.

[hasanshaikh]

Sir, please complete analog electronics. Please do not leave in Midway like this.

[UDonotKnowMeBecauseUKnowMe]

Just add 1ohm to entire infinite circuit resistance i.e 1.6 so ans is 1+1.6=2.6
No need other calculations

[sds]

Would you please make a video on RLC series and parallel combinations?

[gulshanjohara]

Req = R+(R of ∞) = R+R×1.618
Req = R(1+1.618)
Req = R × 2.618
Req/R = 2.618 ≈ 2.62

[roushankumar]

Sir electrical machine ka bhi video laye

[bhanuprakashreddy]

given the equivalent is Re.equate it to 2R+(R||R).by solving this we get Re/R=2.5ohm

[muhammadhammadsarwar]

I am not getting the solution of homework problem because I am confused how to solve.
P.S I read almost every comment where people have tried to help each other but I was not able to understand anyone.

[vipulchoudhary]

value of equivalent resister is (3+squreroot of 5)/2

[rakeshh]

The value of infinite would b 1.62 ohm we know that, so if we divide 2r to r + r, since we know infinite ladder would b 1.62 and adding 1 to it would bring the answer, like a seriers resistor connect to a equivalent, same will happen if 3r is in seriers, 2+req = 2+1.62= 3.62

[jacobjohn]

Nice sir.Plz upload questions related to infinite grid and concept of symmetry to solve complex circuits

[alivelunaidu]

Please complete Analog Electronics... Please

[riasharma]

Plz tell the answer of the homework problem sir

[ankitg]

HW ... ratio = (3 + root5)/2 = 2.618 ohm