Figure shows three resistor configurations $R_1, R_2$ and $R_3$ connected to $3 \mathrm{~V}$ battery. If the…
Figure shows three resistor configurations $R_1, R_2$ and $R_3$ connected to $3 \mathrm{~V}$ battery. If the power dissipated by the configuration $R_1, R_2$ and $R_3$ is $P_1, P_2$ and $P_3$, respectively, then
$P_1>P_2>P_3$
$P_1>P_3>P_2$
$P_2>P_1>P_3$
$P_3>P_2>P_1$
Solution
Applying $P=\frac{V^2}{R}$
$R_1=1 \Omega, R_2=0.5 \Omega$ and $R_3=2 \Omega, V_1=V_2=V_3=3$ volt
$\therefore \quad P_1=\frac{(3)^2}{1}=9 \mathrm{~W}$
$\quad P_2=\frac{(3)^2}{0.5}=18 \mathrm{~W}$ and $P_3=\frac{(3)^2}{2}=4.5 \mathrm{~W}$
$\therefore \quad P_2>P_1>P_3$
$\therefore \quad$ correct option is (c).
