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Consider an infinite ladder of network s...

Consider an infinite ladder of network shown In fig 5.223. A voltage is applied between points A and B. If the voltage is halved after each section, find the ratio of `R_1//R_2`.
Suggest a method to terminate it after a few sections without introducing much error in its attenuation.

A

`R_(1)//R_(2)=1`

B

`R_(1)//R_(2)=1//2`

C

`R_(1)//R_(2)=2`

D

`R_(1)//R_(2)=3`

Text Solution

Verified by Experts

The correct Answer is:
B

At junction `P,I=I_(1)+I_(2)`
`(V-(V//2))/(R_(1))=((V//2)-(V//4))/(R_(1))+((V//2)-0)/(R_(2))`
`(R_(2))/(R_(1))=2/1`
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