Two heaters $A$ and $B$ have power rating of $1 \mathrm{~kW}$ and $2 \mathrm{~kW}$, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:
NEET 2024, Medium
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Power Consumed $=P=\frac{V^2}{R}$
$\frac{P_A}{P_B}=\frac{R_B}{R_A}$
$R_A=2 R_B$
For Series Combination
$P_S=\frac{V^2}{3 R_B}$
For Parallel Combination
$P_P=\frac{3 V^2}{2 R_B}$
$\frac{P_S}{P_P}=\frac{2}{9}$
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