Two identical heaters 240 V, 1000 W are connected in series across a supply of 240 V line, then the combined power is:
Question
Two identical heaters 240 V, 1000 W are connected in series across a supply of 240 V line, then the combined power is:
Solution
To solve this problem, we need to understand a few basic concepts about electricity:
- Power (P) is given by the formula P = V^2 / R, where V is voltage and R is resistance.
- When two identical resistors (in this case, the heaters) are connected in series, their total resistance is the sum of their individual resistances.
Given that each heater operates at 240 V and 1000 W, we can first find the resistance of one heater:
R = V^2 / P = (240 V)^2 / 1000 W = 57.6 ohms
Since the two heaters are connected in series, their total resistance is:
R_total = R1 + R2 = 57.6 ohms + 57.6 ohms = 115.2 ohms
Now, we can find the total power when the two heaters are connected in series to a 240 V supply:
P_total = V^2 / R_total = (240 V)^2 / 115.2 ohms = 500 W
So, the combined power of the two heaters connected in series across a 240 V supply is 500 W.
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