Calculate the amount of charge

Question:

Calculate the amount of charge on capacitor of $4 \mu \mathrm{F}$. The internal resistance of battery is $1 \Omega$ :

  1. $8 \mu \mathrm{C}$

  2. Zero

  3. $16 \mu \mathrm{C}$

  4. $4 \mu \mathrm{C}$


Correct Option: 1

Solution:

On simplifying circuit we get

No current in upper wire.

$\therefore \quad \mathrm{V}_{\mathrm{AB}}=\frac{5}{4+1} \times 4=4 \mathrm{v}$

$\therefore \quad \theta=\left(\mathrm{C}_{\mathrm{eq}}\right) \mathrm{v}$

$\Rightarrow 2 \times 4=8 \mu \mathrm{C}$

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