In the given circuit, the current in resistance $\mathrm{R}_3 $ is : 
JEE MAIN 2024, Diffcult
Download our app for free and get startedPlay store
$\mathrm{R}_{\mathrm{eq}}=2 \Omega+2 \Omega+1 \Omega=5 \Omega$

$\mathrm{i}=\frac{\mathrm{V}}{\mathrm{R}_{\mathrm{eq}}}=\frac{10}{5}=2 \mathrm{~A}$

Current in resistance $\mathrm{R}_3=2 \times\left(\frac{4}{4+4}\right)$

$ =2 \times \frac{4}{8} $

$ =1 \mathrm{~A}$

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
    An electric bulb rated as $200\, {W}$ at $100 \,{V}$ is used in a circuit having $200\, {V}$ supply. The resistance $'R'$ that must be put in series with the bulb so that the bulb delivers the same power is $.....\,\Omega$
    View Solution
  • 2
    The electric intensity $E$, current density $j$ and specific resistance $k$ are related to each other by the relation
    View Solution
  • 3
    In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of $1 \mathrm{~A}$ flows through the $1 \Omega$ resistor. The key is closed at time $t=t_0$. Which of the following statement($s$) is(are) correct?

    [Given: $\mathrm{e}^{-1}=0.36$ ]

    ($A$) The value of the resistance $R$ is $3 \Omega$.

    ($B$) For $t$

    ($C$) At $t=t_0+7.2 \mu \mathrm{s}$, the current in the capacitor is $0.6 \mathrm{~A}$.

    ($D$) For $t \rightarrow \infty$, the charge on the capacitor is $12 \mu C$.

    View Solution
  • 4
    Assertion : Free electrons always keep on moving in a conductor even then no magnetic force act on them in magnetic field unless a current is passed through it.

    Reason : The average velocity of free electron is zero.

    View Solution
  • 5
    Two cities are $150\,\, km$ apart. Electric power is sent from one city to another city through copper wires. The fall of potential per $km$ is $8\,\, volt$ and the average resistance per km is $0.5 \,\,\Omega .$ The power loss in the wire is
    View Solution
  • 6
    If an electric heater is rated at $1000\, W$, then the time required to heat one litre of water from $20\,^oC$ to $60\,^oC$ is
    View Solution
  • 7
    In the figure shown the power generated in $y$ is maximum when $y = 5\,\Omega$ . Then $R$ is .............. $\Omega$
    View Solution
  • 8
    In the circuit shown in the figure, the current through
    View Solution
  • 9
    In the circuit shown in the figure, the current flowing in $2\,\Omega $ resistance ............... $A$
    View Solution
  • 10
    The given figure shows $a$ network of resistances and $a$ battery. Choose the correct statement $(s)$.
    View Solution