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  • The e.m.f. of the driver cell of a potentiometer is 2 V and its internal resistance is negligible. The length of the potentiometer wire is 100 cm and resistance is 5<img alt="\Omega" src="https://e

The e.m.f. of the driver cell of a potentiometer is 2 V and its internal resistance is negligible. The length of the potentiometer wire is 100 cm and resistance is 5\Omega. How much resistance is to be connected in series with the potentiometer wire to have a potential gradient of 0.05mV/cm?

 

Option: 1

1990 \Omega


Option: 2

2000 \Omega


Option: 3

1995 \Omega


Option: 4

None of these


Answers (1)

best_answer

\begin{aligned} &\mathrm{ k=0.05 \mathrm{mV} / \mathrm{cm}=5 \mathrm{mV} / \mathrm{m} }\\ &\mathrm{ I=\frac{k l}{r}=\frac{5 \times 10^{-3} \times 1}{5}=10^{-3} \mathrm{~A} }\\ &\mathrm{ \text { Now, } 2=I=(R+r) \Rightarrow 2=10^{-3}(R+5) \Rightarrow R=1995 \Omega}\\ \end{aligned}

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HARSH KANKARIA

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