The resistance of the kettle element
Answers
Kettles are among the simplest of household appliances. Lift the lid and peer inside and you'll see, at the very bottom of the water container, a coil of thick metal called the heating element.
When you plug the kettle into an electrical outlet, a large electric current flows into the heating element..
What are the properties of heating an element in a electric kettle?
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I will answer by using a numerical analysis - First I will make a few assumptions about the conditions - ( remember that these numbers are approximations and actual values may be different but given the purpose of a kettle , i assume that these values are good enough )
Cold Water Temperature - 20 Deg C
Hot water Temperature - 100 Deg C
Weight of water in the kettle - 1000 ml ( 1 Liter ) = 1 kg
Specific heat of water - 4200 J /kg Deg C
Target time to heat the water - 300 Sec. ( 5 min )
AC mains supply Voltage - 230 V ( India , use 120 here for the USA )
Energy required to heat 1 liter of 20 deg. C water to 100 Deg. C =
(100–20) Deg. C * 1 kg * 4200 J /kg Deg. C = 336,000.00 J
Power output required from the heating element =
336000 / 500 = 672 W
Current required at 230 V to allow 672 Watts = 672 / 230 = 2.92 A
using V = IR ( R = V /I ) we get resistance = 78 Ohms ( approx. )