To solve the problem, we will use the formula from electrical engineering known as Ohm's Law and the Power Formula. The Power Formula we need is:
[tex]\[ P = I^2 \times R \][/tex]
where:
- [tex]\( P \)[/tex] is the power in watts (W),
- [tex]\( I \)[/tex] is the current in amperes (A),
- [tex]\( R \)[/tex] is the resistance in ohms (Ω).
Given:
- Resistance, [tex]\( R = 22 \)[/tex] ohms,
- Current, [tex]\( I = 5.0 \)[/tex] amperes.
Step-by-step solution:
1. Identify the given values and formula:
- [tex]\( R = 22 \)[/tex] ohms
- [tex]\( I = 5.0 \)[/tex] amperes
- Formula: [tex]\( P = I^2 \times R \)[/tex]
2. Calculate the square of the current:
[tex]\[
I^2 = (5.0)^2 = 25
\][/tex]
3. Substitute the values into the formula:
[tex]\[
P = 25 \times 22
\][/tex]
4. Perform the multiplication:
[tex]\[
P = 550
\][/tex]
Hence, the power of the computer is:
[tex]\[
P = 550 \text{ watts}
\][/tex]
So, the power of your computer is 550 watts.
