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Calcuate the charge on each capacitor sh...

Calcuate the charge on each capacitor shown in figure

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The two capacitors are joined in series. Their equivalent capacitance is given by `1/c= 1/C_1+1/c_2`
or `C=C_1C_2/C_1+C_2=(10muF) (20miF)/30miF=20/3muF`.
The charge supplied by the battery is
`Q=CV`
`=(20/3muF)(30 V) =200muC`.
In series combination, each capacitor has equal charge and this charge equals the charge supplied by the battery. Thus, each capactor has a charge of `200muC`.
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Knowledge Check

  • The charge on the capacitor as in figure is

    A
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    B
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    C
    `4/3 muC`
    D
    zero
  • In steady state, find the charge on the capacitor shown in figure.

    A
    ` 4 mu C `
    B
    ` 5 mu C `
    C
    ` 6 mu C `
    D
    ` 7 mu C `
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