Q.
Two heaters A and B have power rating of 1 kW and 2kW, 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:
A) 1 : 2
B) 2 : 3
C) 1 : 1
D) 2 : 9
Explanation
[Solution by Claude - not from source] $R_A\propto\frac1{1000}$, $R_B\propto\frac1{2000}$. Parallel power $=3000$ W; series power $=\frac{V^2}{R_A+R_B}=\frac{2000}{3}$ W. Ratio $=\frac{2000/3}{3000}=2:9$. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.