Question 164: Electrostatics & Capacitance

Question

An ideal cell of emf 10 V is connected in circuit
shown in figure. Each resistance is 2 $\Omega $. The
potential difference (in V) across the capacitor
when it is fully charged is ______.
![](https://imagex.cdn.examgoal.net/jgy2xukexz0xhd/344954c2-7135-4e5f-bfcb-d7dd9817d10b/b26fef10-f407-11ea-8293-3b6cc591631c/file-jgy2xukexz0xhe-430w.png)

Accepted Answer

Capacitor is fully charged
So no current is there in branch ADB
$ 	herefore $ Effective circuit of current flow :
R
eq
= $\left( {{{4 	imes 2} \over {4 + 2}}} ight) + 2$
R
eq
= ${4 \over 3} + 2$ = ${{10} \over 3}\Omega $
i = ${{10} \over {{{10} \over 3}}}$ = 3A
So potential different across AEB
= 2 ÃÂ 1 + 2 ÃÂ 3 = 8V
Hence potential difference across Capacitor = 8V
![](['https://imagex.cdn.examgoal.net/1ki9tdhwl/5ead2fad-ae5c-41cb-8ae6-424ba758ccbd/a713f150-35ef-11eb-952a-0b7dd2481a83/file-1ki9tdhwm-335w.png', 'https://imagex.cdn.examgoal.net/1ki9tejk9/93dae5b9-a810-4796-8f8a-057b30cc5770/c42ad790-35ef-11eb-952a-0b7dd2481a83/file-1ki9tejka-454w.png'])

Electrostatics & Capacitance

An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is 2 \Omega . The potential difference (in V) across the capacitor when it is fully charged is ______.

Integer / Numeric Answer Type