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  • A cell of e.m.f E volt with no internal resistance is connected to a wire whose cross-section changes. The wire has three sections of equal length. The middle section has a radius a, whereas t

A cell of e.m.f E volt with no internal resistance is connected to a wire whose cross-section changes. The wire has three sections of equal length. The middle section has a radius a, whereas the radius of the outer two sections is 2a. The ratio of the potential difference across section AB to the potential difference across section CA is

Option: 1

5


Option: 2

4


Option: 3

\frac{1}{2}


Option: 4

\frac{1}{4}


Answers (1)

best_answer

In series combination, current(I) is constant, therefore V \propto R

\frac{V_{A B}}{V_{C A}}=\frac{R_{A B}}{R_{C A}}=\frac{\rho \frac{l}{\pi a^2}}{\rho \frac{l}{\pi(2 a)^2}} \Rightarrow \frac{V_{A B}}{V_{C A}}=\frac{4}{1}

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