In the given circuit, with steady current, the potential drop across the capacitor must be
IIT 2001, Diffcult
Download our app for free and get startedPlay store
(c) Moving anticlockwise from $A$
$ - \,iR - V + 2V - 2iR = 0$
or $3iR = V$ or $i = \frac{V}{{3R}}$
${V_A} - {V_B} = iR + V - V = iR$
$==>$ Potential drop across $C$ =$\frac{V}{3}$
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 metallic block has no potential difference applied across it, then the mean velocity of free electrons is $T$ = absolute temperature of the block)
    View Solution
  • 2
    A wire of resistance $20 \Omega$ is divided into $10$ equal parts. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is_______.0$\Omega$.
    View Solution
  • 3
    A potentiometer wire of length $300\,cm$ is connected in series with a resistance $780\,\Omega$ and a standard cell of emf $4\,V$. A constant current flows through potentiometer wire. The length of the null point for cell of emf $20\,mV$ is found to be $60\,cm$. The resistance of the potentiometer wire is$...\Omega$
    View Solution
  • 4
    A torch bulb rated as $4.5\, W, 1.5\, V$ is connected as shown in the figure. The $e.m.f.$ of the cell needed to make the bulb glow at full intensity is ............. $V$
    View Solution
  • 5
    $62.5 \times {10^{18}}$ electrons per second are flowing through a wire of area of cross-section $0.1\,{m^2}$, the value of current flowing will be ............ $A$
    View Solution
  • 6
    A $16\, \Omega$ wire is bend to form a square loop. A $9 \,{V}$ supply having internal resistance of $1 \,\Omega$ is connected across one of its sides. The potential drop across the diagonals of the square loop is $.......\,\times 10^{-1} \,{V}$
    View Solution
  • 7
    Two current elements $P$ and $Q$ have current voltage characteristics as shown below :

    Which of the graphs given below represents current voltage characteristics when $P$ and $Q$ are in series.

    View Solution
  • 8
    A potential divider is used to give outputs of $4\,V$ and $8\,V$ from a $12\,V$ source. Which combination of resistances, $(R_1 : R_2 : R_3)$ gives the correct voltages
    View Solution
  • 9
    Two resistances of $400$ $\Omega$ and $800$ $\Omega$ are connected in series with $6\, volt$ battery of negligible internal resistance. A voltmeter of resistance $10,000$ $\Omega$ is used to measure the potential difference across $400$ $\Omega$. The error in the measurement of potential difference in volts approximately is
    View Solution
  • 10
    For a cell terminal $P.D.$ is $2.2\;V$ when circuit is open and reduces to $1.8\;V$ when cell is connected to a resistance of $R = 5\,\Omega $. Determine internal resistance of cell $(r)$ is then ........ $\Omega$
    View Solution