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
JEE MAIN 2020, Diffcult
Download our app for free and get started
$R _{1}$ to $R _{5} \rightarrow$ each $2 \Omega$
Cap. is fully charged
So no current is there in branch $ADB$
Effective circuit of current flow
$R_{e q}=\left(\frac{4 \times 2}{4+2}\right)+2$
$R _{ eq }=\frac{4}{3}+2=\frac{10}{3} \Omega$
$i=\frac{10}{10 / 3}=3 A$
So potential different across $AEB$
$\Rightarrow 2 \times 1+2 \times 3=8 V$
Hence potential difference across
Capacitor $=\Delta V = V _{ AEB }=8 V$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The circuit shown here is used to compare the $e.m.f.$ of two cells ${E_1}$ and ${E_2}({E_1} > {E_2})$. The null point is at $C$ when the galvanometer is connected to ${E_1}$. When the galvanometer is connected to ${E_2}$, the null point will beView Solution
- 2The resistance of a bulb filmanet is $100\,\Omega$ at a temperature of $100\,^o C$. If its temperature coefficient of resistance be $0.005$ per $^o C$, its resistance will become $200\,\Omega$ at a temperature of ................ $^oC$View Solution
- 3View SolutionIn given circuit
- 4$n$ equal cell having emf $E$ and internal resistance $r$, are connected in a circuit of a resistance $R$ . Same current flows in circuit either they are connected in series or parallel, ifView Solution
- 5The equivalent resistance between the points $P$ and $Q$ in the network given here is equal to ................ $\Omega$ (given $r = \frac{3}{2}\Omega $)View Solution
- 6A uniform wire of resistance $R$ is uniformly compressed along its length, until its radius becomes $n$ times the original radius. Now resistance of the wire becomesView Solution
- 7Resistances $R_1$ and $R_2$ each $60\,\Omega$ are connected in series as shown in figure. The Potential difference between $A$ and $B$ is kept $120$ volt. Then what ............. $V$ will be the reading of voltmeter connected between the point $C$ and $D$ if resistance of voltmeter is $120\,\Omega .$View Solution
- 8In the circuit shown, the reading of ammeter when switch $S$ is open and when switch $S$ is closed respectively areView Solution
- 9A battery of $e.m.f.$ $10\, V$ and internal resistance $0.5\, ohm$ is connected across a variable resistance $R$. The value of $R$ for which the power delivered in it is maximum is given by ......... $ohm$View Solution
- 10In the given figure, the charge stored in $6 \ \mu \mathrm{F}$ capacitor, when points $A$ and $B$ are joined by a connecting wire is___________ $\mu \mathrm{C}$.View Solution
