Answer:
1. 60 W
2. 24 W
3. 0.83 A
4. 25200 J
Explanation:
1. What we are simply asked to look for is Electrical Power. It is the rate electrical energy is being transferred.
It is given as:
![P = IV](https://tex.z-dn.net/?f=P%20%3D%20IV)
where I = current and V = voltage.
Therefore, Power is:
P = 0.50 * 120 = 60 W
2. Power, as given in the formula above is:
P = 2.0 * 12
P = 24.0 W
3. According to the formula of Power, current is given as:
= ![\frac{P}{V}](https://tex.z-dn.net/?f=%5Cfrac%7BP%7D%7BV%7D)
Power is 100 W and voltage is 120 V, therefore, current is:
![I = \frac{100}{120} \\\\\\I = 0.83 A](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B100%7D%7B120%7D%20%5C%5C%5C%5C%5C%5CI%20%3D%200.83%20A)
4. Recall that power is the time rate of transfer of electrical energy. Mathematically:
![P = \frac{E}{t}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7BE%7D%7Bt%7D)
where t = time
This means that Electrical energy is:
![E = Pt](https://tex.z-dn.net/?f=E%20%3D%20Pt)
Recall that Power is:
![P = IV](https://tex.z-dn.net/?f=P%20%3D%20IV)
Therefore, Electrical energy is:
![E = IVt](https://tex.z-dn.net/?f=E%20%3D%20IVt)
![E = 210 * 12 * 10\\\\\\E = 25200 J](https://tex.z-dn.net/?f=E%20%3D%20210%20%2A%2012%20%2A%2010%5C%5C%5C%5C%5C%5CE%20%3D%2025200%20J)