A nichrome wire used as heater coil has the resistance of 1ohm/m .for a heater of 1000 W at 200v ,the lenghth of the wire is required will be ?
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Answer:
we know, power = V²/R
Here , V is the potential difference
And R is the resistance of wire.
Given,
Resistance of wire per unit length = 1 Ω/m
Let length of wire is L
Then, resistance of wire = resistance of wire per unit length × length of wire
= 1L Ω
Power = 1kW = 1000 watt
Potential difference , V = 200V
∴ 1000 = (200)²/1L
1000 = 40000/1L
L = 40 m
Hence, length of wire is 40m
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