a computer with a power input of 230.0 W (watts) has a resistance of 91.0 Ohms . how do you find the current in the computer?
P = IV and V = IR
To find the current in the computer, you can use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R). The formula is:
I = V / R
In this case, the power input of the computer (P) is given as 230.0 watts. Power is the product of voltage and current, so we can rewrite the formula as:
P = V * I
To find the current, we need to rearrange the formula to solve for I:
I = P / V
We already know the power input (P) is 230.0 watts, but we need the voltage (V). To find the voltage, we can use another formula, which states that power (P) is equal to the product of current (I) and voltage (V):
P = V * I
Again, rearranging this formula to solve for V:
V = P / I
Now we have both formulas needed to find the current (I). First, we find the voltage (V) using the formula V = P / I, and then we substitute the values into the formula I = P / V.
Let's calculate the current in the computer:
Step 1: Find the voltage (V)
Using the formula V = P / I, we can rearrange it to get:
V = P / I
V = 230.0 W / I
Step 2: Substitute the value of resistance (R)
Since we are given the resistance of 91.0 Ohms, we can substitute it into the formula:
V = 230.0 W / I --> I = 230.0 W / 91.0 Ohms
Step 3: Calculate the current (I)
Using a calculator, divide 230.0 watts by 91.0 Ohms to get the current:
I = 2.527 A (approximately)
Therefore, the current flowing through the computer is approximately 2.527 Amperes.