Following figures show different combinations of identical bulb$(s)$ connected to identical battery$(ies)$. Which option is correct regarding the total power dissipated in the circuit?
KVPY 2012, Diffcult
Download our app for free and get startedPlay store
(d)

Power consumed in each case is

$( Q )$ $P=\frac{V^2}{R / 3}=\frac{3 V^2}{R}$

$( P )$ $P=\frac{V^2}{3 R}$

$( R )$ $P=\frac{V^2}{R}$

$( S )$ $P=\frac{(2 V)^2}{R}=\frac{4 V^2}{R}$

So, order of increasing power consumption is $P > R > Q > S$.

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 cylindrical wire of radius $0.5 \,mm$ and conductivity $5 \times 10^{7}\, S / m$ is subjected to an electric field of $10 \,mV / m .$ The expected value of current in the wire will be $x ^{3} \,\pi mA$. The value of $x$ is ......
    View Solution
  • 2
    Given three equal resistors, how many different combination of all the three resistors can be made
    View Solution
  • 3
    Two cells of $emfs$ $E_1$ and $E_2$ and internal resistances $r_1$ and $r_2$ are connected in parallel. The $emf$ and internal resistance of the equivalent source is
    View Solution
  • 4
    Each element in the finite chain of resistors shown in the figure is $1\,\Omega $. A current of $1\, A$ flows through the final element. Then what is the potential difference $V$ across input terminals of the chain ............... $\mathrm{volt}$
    View Solution
  • 5
    Find the charge in steady state of the capacitor. (in $nC)$
    View Solution
  • 6
    The resistivity of iron is$1 \times {10^{ - 7}}\,ohm - m$. The resistance of a iron wire of particular length and thickness is $1\, ohm$. If the length and the diameter of wire both are doubled, then the resistivity in $ohm - m$ will be
    View Solution
  • 7
    The resistance of a wire is $5\,ohm$  at $50\,^o C$ and $6\,ohm $ at $100\,^o C$. The resistance of the wire at $0\,^o C$ will be .............. $\Omega$
    View Solution
  • 8
    The brightness of a bulb will be reduced, if a resistance is connected in
    View Solution
  • 9
    When two resistance are connected in parallel then the equivalent resistance is $\frac {6}{5}\Omega $ . When one of the resistance is removed then the effective resistance is $2\, \Omega $. The resistance of the wire removed will be ................ $\Omega$
    View Solution
  • 10
    $A$ wire of cross-section area $A$, length $L_1$, resistivity $\rho_1$ and temperature coefficient of resistivity $\alpha_1$ is connected to a second wire of length $L_2$, resistivity $\rho_2$ , temperature coefficient of resistivity $\alpha_1$ and the same area $A$, so that wire carries same current. Total resistance $R$ is independent of temperature for small temperature change if (Thermal expansion effect is negligible)
    View Solution