In the circuit shown in figure. AB is a uniform wire of length L and resistance R. P is a sliding contact. Take the ratio of lengths PB to AB as `alpha`. (a) Find the ratio `(V_(0))/(V)` in terms of `R_(0),R` and `alpha` (b) Predict the value of `(V_(0))/(V)` when `R_(0) rar infty`. Use the result obtained in (a) to show that your prediction is correct. (c) Find the ratio `(V_(0))/(V)` when `R_(0) = 2R and alpha = (1)/(2)`

In the circuit shown in figure. AB is a uniform wire of length L and r

1.	In the circuit shown in figure. AB is a uniform wire of length L and resistance R. P is a sliding contact. Take the ratio of lengths PB to AB as `alpha`. (a) Find the ratio `(V_(0))/(V)` in terms of `R_(0),R` and `alpha` (b) Predict the value of `(V_(0))/(V)` when `R_(0) rar infty`. Use the result obtained in (a) to show that your prediction is correct. (c) Find the ratio `(V_(0))/(V)` when `R_(0) = 2R and alpha = (1)/(2)`
Answer» Correct Answer - (a) `(alpha)/((1-alpha)((alphaR)/(R_(0))+1)+alpha)` (b) `alpha` (c) `(4)/(9)`

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