why does the cord of an electric heater not glow while the heating element does?
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The Cord of an electric heater is made of thick copper wire and has a very small resistance as compared to the resistance of its element.
For the Current flow (I) through the cord and the element, heat produced (Rt) in the element is much more than that produced in the cord.
Consequently, the element becomes very hot and glows whereas the cord does not become hot and as such does not glow.
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The heater's heating element is made up of an alloy that has very high resistance, so when current flows through the heating element, it becomes too hot and glows red. But the cord's resistance, which is usually of copper or aluminium, is low, so it does not glow.
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