In the circuit shown, the power developed in the $6\,\Omega $ resistor is $6\,W.$ The power developed in the $4\,\Omega $ resistor is .............. $W$
Medium
Download our app for free and get startedPlay store
$P_{6}=I_{6}^{2} \times R \Rightarrow 6=I_{6}^{2} \times 6 \Rightarrow I_{6}=1$

$\mathrm{I}_{4} \times 4=1 \times 6 \Rightarrow \mathrm{I}_{4}=1.5$

$P_{4}=(1.5)^{2} \times 4=2.25 \times 4=9 \mathrm{\,W}$

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
    In the given circuit diagram the current through the battery and the charge on the capacitor respectively in steady state are
    View Solution
  • 2
    In the potentiometer circuit as shown in the figure, the balance length $Al = 60\ cm$ when switch $S$ is open. When switch $S$ is closed and the value of $R$ is $5W$ the balance length $Al' = 50 cm.$ The internal resistance of the cell $C'$ is : .............. $\Omega$
    View Solution
  • 3
    In previous problem, if the cell had been connected in parallel (instead of in series) which of the above graphs would have shown the relationship between total current $I$ and $n$?
    View Solution
  • 4
    We have a galvanometer of resistance $25\,\Omega $. It is shunted by a $2.5\,\Omega $ wire. The part of total current that flows through the galvanometer is given as
    View Solution
  • 5
    The value of current $i_{1}$ flowing from $A$ to $C$ in the circuit diagram is$.......A$
    View Solution
  • 6
    The drift velocity does not depend upon
    View Solution
  • 7
    In a conductor, if the number of conduction electrons per unit volume is $8.5 \times 10^{28}\, m^{-3}$ and mean free time is $25\,fs$ (femto second), its approximate resistivity is $\left( {{m_e} = 9.1 \times {{10}^{ - 31}}\,kg} \right)$
    View Solution
  • 8
    What length of the wire of specific resistance $48 \times {10^{ - 8}}\,\Omega \,\,m$ is needed to make a resistance of $4.2 \, \Omega$  .............. $m$ (diameter of wire = $0.4\, mm$)
    View Solution
  • 9
    In the circuit shown, a four wire potentiometer is made of a $400\, cm$ long wire, which extends between $A$ and $B$. The resistance per unit length of the potentiometer wire is $r = 0.01\, \Omega /cm$. If an ideal voltmeter is connected as shown with jockey $J$ at $50\, cm$ from end $A$, the expected reading of the voltmeter will be: ............... $V$
    View Solution
  • 10
    $10\,Cells$, each of emf $'E'$ and internal resistance $'r'$, are connected in series to a variable external resistance. Figure shows the variation of terminal potential difference of their combination with the current drawn from the combination.$Emf$ of each cell is ............. $V$
    View Solution