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 startedPlay store
$R _{1}$ 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 $=\Delta V = V _{ AEB }=8 V$

art

Download our app
and 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

  • 1
    A bulb has specification of one kilowatt and $250\, volts$, the resistance of bulb is .................. $\Omega$
    View Solution
  • 2
    Three resistances $P, Q, R$ each of $2 \,\,\Omega$ and an unknown resistance $S$ form the four arms of a Wheatstone bridge circuit. When a resistance of $6 \,\,\Omega$ is connected in parallel to $S$ the bridge gets balanced. What is the value of $S\,?$ ............... $\Omega$
    View Solution
  • 3
    The drift velocity does not depend upon
    View Solution
  • 4
    A galvanometer of resistance, $G,$ is connected in a circuit. Now a resistance $R$ is connected in series of galvanometer. To keep the main current in the circuit unchanged, the resistance to be put in parallel with the series combination of $G$ and $R$ is
    View Solution
  • 5
    A primary cell has an $e.m.f.$ of $1.5\,volts$, when short-circuited it gives a current of $3$ amperes. The internal resistance of the cell is .............. $ohm$
    View Solution
  • 6
    The energy dissipated by a resistor is $10 \,mJ$ in $1\,s$ when an electric current of $2\, mA$ flows through it. The resistance is $....... \Omega$

    (Round off to the Nearest Integer)

    View Solution
  • 7
    The length of a potentiometer wire is $\ell $.  A cell of emf $E$ is balanced at a length $\ell /3$  from the positive end of the wire. If the length of the wire is increased by $\ell /2$ at what distance will the same cell give a balanced point
    View Solution
  • 8
    A current of $0.1 \,A$ flows through a $25 \,\Omega$ resistor represented by the circuit diagram. The current in $80 \,\Omega$ resistor is ........... $A$
    View Solution
  • 9
    If $2.2\,kW$ power is transmitted through a $100\,\Omega $ line at $22,000\,V,$ the power loss in the form of heat will be ............. $W$
    View Solution
  • 10
    The resistance of a $5\, cm$ long wire is $10\, \Omega$. It is uniformly stretched so that its length becomes $20\, cm$. The resistance of the wire is ............. $\Omega$
    View Solution