In the power formula $P=V I$, where $P$ is power, $V$ is voltage, and $I$ is current, how would you rearrange to solve for current $I$?
a. $I = P - V$
b. $I =\frac{P}{V}$
c. $I=P V$
d. $I=\frac{V}{P}$
Answer (2)
Start with the power formula: P = V I .
Divide both sides of the equation by V to isolate I : V P = V V I .
Simplify the equation to find the current: I = V P .
The rearranged formula to solve for current I is: I = V P .
Explanation
Understanding the Problem We are given the power formula P = V I , where P represents power, V represents voltage, and I represents current. Our goal is to rearrange this formula to solve for the current, I .
Isolating the Current To isolate I , we need to divide both sides of the equation by V . This gives us: V P = V V I
The Solution Simplifying the equation, we get: V P = I Thus, the rearranged formula to solve for current I is: I = V P
Examples
In electrical engineering, if you know the power consumption of a device and the voltage at which it operates, you can calculate the current it draws using the formula I = V P . For example, if a light bulb consumes 60 watts of power and is connected to a 120-volt power supply, the current drawn by the bulb is I = 120 60 = 0.5 amperes. This calculation is crucial for selecting appropriate circuit breakers and wiring to prevent overloading and ensure safety.
To solve for current I in the formula P = V I , we rearrange it to I = V P . This involves dividing both sides of the equation by voltage V . The correct multiple-choice option is (b) I = V P .
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