Three identical capacitors (initial charge zero) are connected in… - Vidyadip

MCQ

Three identical capacitors (initial charge zero) are connected in series combination and charged through a battery of emf $E$ . After removing battery two resistances are connected to these capacitors as given. The heat dissipated in each of the resistance is

A
$\frac{{C{E^2}}}{{27}}$
✓
$\frac{2}{{27}}C{E^2}$
C
$\frac{{5C{E^2}}}{{13}}$
D
$\frac{{C{E^2}}}{{13}}$

✓

Answer

Correct option: B.

$\frac{2}{{27}}C{E^2}$

b
Initial potential difference across each capacitor $\frac{\mathrm{E}}{3}$ for final potential difference across each capaci tor.

$\frac{C E}{3}=3 C V$

$\mathrm{V}=\frac{\mathrm{E}}{9}$

heat loss $\Delta \mathrm{H}=\mathrm{U}_{\mathrm{f}}-\mathrm{U}_{I}$

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