Two identical heaters 240 V, 1000 W are connected in series across a supply of 240 V line. The combined power is; a)2000 W b)1000 W c)500 W d)4000 W Please show the steps!!
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Two identical heaters 240 V, 1000 W are connected in series across a supply of 240 V line. The combined power is; a)2000 W b)1000 W c)500 W d)4000 W Please show the steps!!
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Given ,
Power , p = 1000 W
Voltage , V = 240 V
⇒ r = V² / p
⇒ r = 240*240 / 1000
⇒ r = 48.4 Ω
Now two such heaters are connected in series .
⇒ R(eq) = 2r = 96.8 Ω
Voltage , V = 240
⇒ Power , p = V² / R
⇒ p = 240*240 / 96.8
⇒ p = 500 Watts
So option (c) is correct.