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Standard XII

Physics

Series Combination of Cells

As shown in t...

Question

As shown in the experimental setup, two cells with the same $e m f E$ and different internal. resistance $r_{1}$ and $r_{2}$ are connected in series to an external resistance $R$ . Value of $R$ so that the potential difference across the cell be zero, is :

r_{1} + r_{2}

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\frac{r_{1}}{r_{2}}

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r_{1} - r_{2}

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r_{1} r_{2}

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Solution

The correct option is B $r_{1} - r_{2}$
$i = \frac{2 E}{R + r_{1} + r_{2}}$
$i r_{2} + i R = E$
$2 r_{2} + 2 R = R + r_{1} + r_{2}$ or $R = r_{1} - r_{2}$

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As shown in the experimental setup, two cells with the same emfE and different internal. resistance r1 and r2 are connected in series to an external resistance R. Value of R so that the potential difference across the cell be zero, is :

The correct option is B r1−r2i=2ER+r1+r2ir2+iR=E2r2+2R=R+r1+r2 or R=r1−r2

As shown in the experimental setup, two cells with the same $e m f E$ and different internal. resistance $r_{1}$ and $r_{2}$ are connected in series to an external resistance $R$ . Value of $R$ so that the potential difference across the cell be zero, is :

The correct option is B $r_{1} - r_{2}$
$i = \frac{2 E}{R + r_{1} + r_{2}}$
$i r_{2} + i R = E$
$2 r_{2} + 2 R = R + r_{1} + r_{2}$ or $R = r_{1} - r_{2}$