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A circuit consists of two cells, each of...

A circuit consists of two cells, each of e.m.f. E and internal resistances `r_(1)` and `r_(2)` are connected in series through an external resistance X. If the potential difference between the ends of the first cell is zero, the value of X in terms of `r_(1)` and `r_(2)` will be

A

`r_(1)+r_(2)`

B

`r_(1)-r_(2)`

C

`r_(1)r_(2)`

D

zero

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Knowledge Check

  • Two cells each of emf E and internal resistacne r_(1)" and "r_(2) respectively are conneted in series with an external resistance R. The potential defference between the terminats of the first cell will be zero when R equal to

    A
    `(r_(1)+r_(2))/2`
    B
    `sqrt(r_(1)^(2)r_(1)^(2))`
    C
    `r_(1)-r_(2)`
    D
    `(r_(1)r_(2))/(r_(1)+r_(2))`

  • Tow cells with the same emf E and different internal resistances r_(1) and r_(2) are connected in series to an external resistances R . The value of R so that the potential difference across the first cell be zero is

    A
    `sqrt(r_(1)r_(2))`
    B
    `r_(1)+r_(2)`
    C
    `r_(1)-r_(2)`
    D
    `(r_(1)+r_(2))/(2)`

  • A cell of e.mf. E and internal resistance r is connected in series with an external resistance nr. Then, the ratio of the terminal potential difference to E.M.F.is

    A
    `1//n`
    B
    `(1)/(n+1)`
    C
    `(n)/(n=1)`
    D
    `(n+1)/(n)`

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