Two heaters X and Y have power ratings 1 kW and 2 kW respectively. These heaters are connected in series across a fixed power source. The ratio of power outputs of X and Y is:
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Question

Two heaters X and Y have power ratings 1 kW and 2 kW respectively. These heaters are connected in series across a fixed power source. The ratio of power outputs of X and Y is:

G1 Physics · Accepted Answer

Step 1: At the same rated supply voltage, R = V²/P. Thus Rₓ/Rᵧ = Pᵧ/Pₓ = 2. Step 2: Series current is the same; P′ = I²R. Step 3: P′ₓ/P′ᵧ = Rₓ/Rᵧ = 2:1.