Answer:
See the answers below.
Step-by-step explanation:
1
The data of 100W means power, and the other data of 220V means voltage, that is to say that bulb serves to work at a voltage of 220V100W datum means power.
J means work that is given in Joules [J], we must remember that power is defined as the relationship between work at a certain time, therefore we can determine work by means of the following expression.
![P=W/t\\](https://img.qammunity.org/2021/formulas/physics/high-school/r8w07m5dfmqepfikf1tqqtr5dno06ml4vr.png)
where:
P = power [Watt]
W = work [J]
t = time [s]
![W=P*t\\W=100*5[hr]*[(3600s)/(1hr) ]\\W=1800000[J] = 1.8[MJ]](https://img.qammunity.org/2021/formulas/physics/high-school/o7vc10nv7cc0bya37iswjvjva2irlmx3lz.png)
Now the electric cost.
![0.1[kW]*5[hr]*55(LL)/(1kwhr) =27.5[LL]](https://img.qammunity.org/2021/formulas/physics/high-school/qfoux3r61hbo19uwxtepist62ork9d3h94.png)
2
We know that power is defined as the product of voltage by resistance.
![P=V*I](https://img.qammunity.org/2021/formulas/physics/college/iawmofrz22fkfiz9dfecinftlqzvo2fgmt.png)
where:
P = power [W]
V = voltage [V]
I = current [amp]
![I=P/V\\I=1500/220\\I=6.82[amp]](https://img.qammunity.org/2021/formulas/physics/high-school/3j66l1dwbhsz8007ufqdgaoi7omr1m3wll.png)
3
The voltage can be calculated by means of ohm's law, which tells us that the voltage is equal to the product of resistance by the current.
![V =I*R](https://img.qammunity.org/2021/formulas/physics/high-school/xabms2ogy1wn9kb5ekrejlpwa9pjcz4zyp.png)
where:
V = voltage [V]
I = current = 20 [mA] = 0.02 [A]
R = resistance = 20 [kΩ] = 20000 [Ω]
Now replacing:
![V = 0.02*20000\\V = 400 [V]](https://img.qammunity.org/2021/formulas/physics/high-school/c76gqda12hihlg4hzvqn96c619o0w33g93.png)
4
According to the figure we see that when the current is equal to 10 [mA] the voltage is equal to 1 [V]. With these two values, we can use ohm's law and find the value for the resistance.
![V = I*R\\R = V/I\\R = 1/0.01\\R =100 [ohm]](https://img.qammunity.org/2021/formulas/physics/high-school/tfx1w8y6g3r04yvomwy777o11lqkbrx6kt.png)