In the circuit shown in figure potential difference between points A and $B$ is $16\,V$. the current passing through $2 \Omega$ resistance will be $...........\,A$
Medium
Download our app for free and get startedPlay store
(b)

$\therefore 4 i _1+2\left( i _1+ i _2\right)-3+4 i _1=16\, V$

Using Kirchhoff's second law in the closed loop we have

$9-i_2-2\left(i_1+i_2\right)=0$

Solving equations $(i)$ and $(ii)$, we get $i _1=1.5 A ^{\text {and } i _2}=2 A$

$\therefore$ current through $2 W$ resistor $=2+1.5=3.5\,A$.

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
    $\mathrm{A}$ circuit is comprised of eight identical batteries and a resistor $R = 0.8\,\Omega$ . Each battery has an $\mathrm{emf}$ of $1.0\, V$ and internal resistance of $0.2\,\Omega$ . The voltage difference across any of the battery is ............. $V$
    View Solution
  • 2
    What equal length of an iron wire and a copper-nickel alloy wire, each of $2 \; {mm}$ diameter connected parallel to give an equivalent resistance of $3 \Omega ?$

    (Given resistivities of iron and copper-nickel alloy wire are $12 \;\mu \Omega {cm}$ and $51\; \mu \Omega {cm}$ respectively) (in ${m}$)

    View Solution
  • 3
    Column $- I$ gives certain physical terms associated with flow of current through a metallic conductor. Column $- II$ gives some mathematical relations involving electrical quantities. Match Column $- I$ and Column $- II$ with appropriate relations.
    Column $- I$ Column $- II$
    $(A)$ Drift Velocity $(P)$ $\frac{m}{n e^{2} \rho}$
    $(B)$ Electrical Resistivity $(Q)$ $\mathrm{ne} v_{\mathrm{d}}$
    $(C)$ Relaxation Period $(R)$ $\frac{\mathrm{eE}}{\mathrm{m}} \tau$
    $(D)$ Current Density $(S)$ $\frac{E}{J}$
    View Solution
  • 4
    A platinum resistance thermometer has a resistance of $50\,\Omega $ at $20\,^o C$. When dipped in a liquid the resistance becomes $76.8\,\Omega $. The temperature coefficient of resistance for platinum is $\alpha = 3.92 \times {10^{ - 3}}\,^o C$. The temperature of the liquid is .............. $^o C$
    View Solution
  • 5
    For the network shown below, the value $V _{ B }- V _{ A }$ is_______ $V$
    View Solution
  • 6
    An electric kettle takes $4\, A$ current at $220\,V.$ How much time will it take to boil $1\,\, kg$ of water circuits are consequences of from temperature $20\,^o C\, ?$ The temperature of $(a)$ conservation of energy and electric charge boiling water is $100\,^o C.$ ............... $min$
    View Solution
  • 7
    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
  • 8
    Three equal resistances each of value $R$ are joined as shown in the figure. The equivalent resistance between $M$ and $N$ is
    View Solution
  • 9
    Assertion : Bending a wire does not effect electrical resistance.

    Reason : Resistance of wire is proportional ot resistivity of material.

    View Solution
  • 10
    Which of the following is not equal to watt
    View Solution