Calculate the resistance of an electric hotplate if it consumes 800 wells of energy in 20 minutes at a current of 4 amperes.
April 5, 2021 | education
| Given:
I = 4 Amperes – the strength of the current passing through the electric plate;
Q = 800 kJ = 800000 Joules – the energy consumed by the electric stove;
t = 20 minutes = 1200 seconds – the period of time during which the tile consumes energy Q.
It is required to determine R (Ohm) – the resistance of the hotplate.
Let’s find the power of the electric stove:
W = Q / t = 800000/1200 = 666.7 watts.
Then the voltage is:
U = W / I = 666.7 / 4 = 166.7 Volts.
The tile resistance will be equal to:
R = U / I = 166.7 / 4 = 41.7 Ohm.
All calculations have been rounded to one decimal place.
Answer: the resistance is 41.7 ohms.
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