A current of $2\, mA$ was passed through an unknown resistor which dissipated a power of $4.4\, W$. Dissipated power when an ideal power supply of $11\, V$ is connected across it is
JEE MAIN 2019, Medium
Download our app for free and get startedPlay store
$R =\frac{P}{l^{2}}=\frac{4.4}{4 \times 10^{-6}} \,\Omega $

$ P^{\prime}= \frac{V^{2}}{R}=\frac{11 \times 11 \times 4 \times 10^{-6}}{4.4} \,W $

$=11 \times 10^{-5} \,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
    By which of the following single load resistance the load bridge should be replaced so that the power to the load remains unchanged ................ $\Omega$
    View Solution
  • 2
    Say switches $S_1, S_2$ and so on upto $S_6$ are closed, one after other in order (first $S_1$, then $S_2$) at regular intervals of $1$ minute starting from $t = 0$. The graph of current versus time is best represented as
    View Solution
  • 3
    An electric lamp is marked $60\, W$, $ 230\, V$. The cost of $1\, kilowatt$ hour of power is Rs. $1.25$. The cost of using this lamp for $8$ hours is Rs. ................
    View Solution
  • 4
    In the given figure, the charge stored in $6 \ \mu \mathrm{F}$ capacitor, when points $A$ and $B$ are joined by a connecting wire is___________ $\mu \mathrm{C}$.
    View Solution
  • 5
    Forty electric bulbs are connected in series across a $220\, V$ supply. After one bulb is fused, the remaining $39$ are connected again in series across the same supply. The illumination will be
    View Solution
  • 6
    Three $60\, W$ light bulbs are mistakenly wired in series and connected to a $120\,V$ power supply. Assume the light bulbs are rated for single connection to $120\,V$. With the mistaken connection, the power dissipated by each bulb is: .................. $W$
    View Solution
  • 7
    Consider a metallic cube of edge length $L$. Its resistance, $R$, measured across its opposite faces is $R =\frac{ m _{ e } v }{ ne ^2 L ^2}$, where $n$ is the number density and $v$ is the drift speed of electrons in the cube, and $e$ and $m _{ e }$ are the charge and mass of an electron respectively. Assuming the de-Broglie wavelength of the electron to be $L$, the maximum resistance of the sample is closest to ............. $\,\Omega$ $\left(e=1.60 \times 10^{-19} \,C ; m _{ e }=9.11 \times 10^{-31} \,kg\right.$; Planck's constant, $h=6.63 \times 10^{-34} \,Js$ )
    View Solution
  • 8
    The internal resistance of a primary cell is $4\, ohm$. It generates a current of $0.2\, amp$ in an external resistance of $21\, ohm$. The rate at which chemical energy is consumed in providing the current is .............. $J/s$
    View Solution
  • 9
    A resistor develops $500\, J$ of thermal energy in $20 \,s$ when a current of $1.5\, A$ is passed through it. If the current is increased from $1.5 \,A$ to $3\, A$ what will be the energy (in $J$) developed in $20\, s$.
    View Solution
  • 10
    A $1\,m$ long wire is broken into two unequal parts $X$ and $Y$ The $X$ part of the wire is streched into another wire $W$. Length of $W$ is twice the length of $X$ and the resistance of $W$ is twice that of $Y$. Find the ratio of length of $X$ and $Y$.
    View Solution