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  • In the potentiometer arrangement (Figure), the driving cell A has e. m. f. \varepsilon and internal resistance r. The e.m.f. of the cell B is to be rechecked has e.m.f. <img alt="\varepsilon / 2" s

In the potentiometer arrangement (Figure), the driving cell A has e. m. f. \varepsilon and internal resistance r. The e.m.f. of the cell B is to be rechecked has e.m.f. \varepsilon / 2 And internal resistance 2 r. The potentiometer wire C D is 100 cm long. If balance is obtained, the length C J=I is

Option: 1

\mathrm{l=50 ~cm}


Option: 2

\mathrm{l>50 ~cm}


Option: 3

\mathrm{l<50 ~cm}


Option: 4

 Balance cannot be obtained


Answers (1)

best_answer

As potential gradient k in the potentiometer wire will be less than \mathrm{(\varepsilon \varepsilon / 100)\left(\mathrm{V} \mathrm{cm}{ }^{-1}\right)} Because of the presence of r. So for the battery of e.m.f. \mathrm{\varepsilon / 2}, the balance point I will be greater than \mathrm{50 \mathrm{~cm}} as shown

\mathrm{I=\frac{e / 2}{k(<e / 100)} \Rightarrow l>50 \mathrm{~cm} }

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Rishi

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