If power in $3\,\Omega $ is $27\,W$ then what is the power in $2\,\Omega $ ................ $\mathrm{W}$
Medium
Download our app for free and get started
in series $\mathrm{P} \propto \mathrm{R}$
$\frac{27}{P}=\frac{3}{4 / 3}$
$\Rightarrow \mathrm{P}=12 \mathrm{\,W}$
in parallel combination
$P=P_{1}+P_{2}$ and $P \propto \frac{1}{R}$
$\frac{P_{1}}{P_{2}}=\frac{4}{2} \Rightarrow P_{2}=\frac{P_{1}}{2}$
$\mathrm{P}=12=\mathrm{P}_{1}+\mathrm{P}_{2}$
$12=\frac{3 P_{1}}{2}$
$\mathrm{P}_{1}=8 \mathrm{\,W}$
Download our appand 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
- 1If the potential difference between $B$ and $D$ is zero, the value of $x$ is $\frac{1}{n} \Omega$. The value of $n$ is .......View Solution
- 2A source of $e.m.f.$ $E = 15\,V$ and having negligible internal resistance is connected to a variable resistance so that the current in the circuit increases with time as $i = 1.2 t + 3$. Then, the total charge that will flow in first five second will be ............... $C$View Solution
- 3A current of $1.6\, A$ is flowing through a wire having cross-sectional area $1\, mm^2$. If density of free electrons in the material of the wire is $10^{29}\, per\, m^3$, the drift velocity of electrons will beView Solution
- 4Consider the circuit given here with the following parameters $E.M.F.$ of the cell = $12\, V$. Internal resistance of the cell $ = 2\,\Omega $. Resistance $R = 4\,\Omega $ Which one of the following statements in trueView Solution
- 5For the circuits shown in figures $I$ and $II$, the voltmeter reading would beView Solution
- 6View SolutionThe colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is:
- 7Two resistors of $6\,\Omega $ and $9\,\Omega $ are connected in series to a $120\, volt$ source. The power consumed by the $6\,\Omega $ resistor is ........... $W$View Solution
- 8A coil takes $15\,\min$ to boil a certain amount of water, another coil takes $20\,\min$ for the same process. Time taken to boil the same amount of water when both coil are connected in series ........... $min$View Solution
- 9In the circuit shown in the figure, the switch $S$ is initially open and the capacitor is initially uncharged. $ I_1, I_2$ and $I_3$ represent the current in the resistance $2\,\Omega , 4\,\Omega $ and $8\,\Omega$ respectively.View Solution
- 10View SolutionResistance as shown in figure is negative at
