infinite ladder

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consider an infinite ladder network shown in figure voltage is applied between points A and B . If the value of voltage is halved after each section , then the ratio of R₁/R₂ Will be

a. 1
b.1/2
c.2
d.3

#Physics #Electricity and magnetism

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5 Answers

iitimcomin ·2009-06-21 08:46:24

just method .... havnt really solved it ....

R2R/R2+R + R1 = R

solve for R[Rnetwork] .........

Vab = i R .....

i = Vab/R .....

i thru R2 = SAY i1

i1R2 = i2R

i1 + i2 = Vab/R ....

i1R2 = Vab/2 ...............

solve and get R1/R2

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abhishek sahoo ·2009-06-22 05:35:27

answer is 1/2

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vector ·2009-06-22 05:38:48

yup abhishek is rite

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kartik sondhi ·2009-06-23 08:46:42

I got the answer 2

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Lokesh Verma ·2009-06-23 23:48:52

The method is very simple ..

this question has something hidden..

the question statement itself says that R(the effective resistance) is equal to R2!!

( why? )

now we know that R= R₁+R/2

thus, R₁=R/2
R₁/R=2

but R=R₂

R₁/R₂=1/2

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infinite ladder

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