Heating 2

The heating element of a stove has an electrical resistance of 80 ohms and is connected to a voltage of 230 V. Calculate the electrical energy consumed in a year (365 days) if it is switched on for 2 hours a day. How much will the energy consumed cost if 1 kWh costs 6 CZK?

Final Answer:

E =  482.71 kWh
c =  2896.28 Kc

Step-by-step explanation:

$$\begin{gathered} R=80\Omega \\ U=230\text{V} \\ d=365 \\ {t}_1=2\text{h} \\ {t}_2=d\cdot t_1=365\cdot 2=730\text{h} \\ I=\frac{U}{R}=\frac{230}{80}=\frac{23}{8}=2.875\text{A} \\ P=U\cdot I=230\cdot 2.875=\frac{2645}{4}=661.25\text{W} \\ {P}_2=P\to \text{kW}=P:1000\text{kW}=661.25:1000\text{kW}=0.66125\text{kW} \\ E=P_2\cdot t_2=0.6613\cdot 730=482.71\text{kWh} \end{gathered}$$

$c=6\cdot E=6\cdot 482.7125=2896.28\text{Kc}$

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