Problem 37 Solve. $$ I=\frac{P}{V}, \te... [FREE SOLUTION]

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Chapter 15: Problem 37

Solve. $$ I=\frac{P}{V}, \text { for } P $$

Short Answer

Expert verified

P = I \cdot V.

Step by step solution

- Identify the Given Formula

The given formula is: \[ I = \frac{P}{V} \]

- Identify the Variable to Solve For

We need to solve for $P$.

- Isolate the Variable $P$

To isolate $P$, multiply both sides of the equation by $V$: \[ I \cdot V = \frac{P}{V} \cdot V \]

- Simplify the Equation

When you simplify the right side of the equation, the $V$ terms cancel out: \[ I \cdot V = P \]

- Final Expression

The final expression, with $P$ isolated, is: \[ P = I \cdot V \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Isolate the Variable

In this problem, we need to solve for the variable $ P $. Isolating the variable means to get that variable by itself on one side of the equation.
Let's look at the original equation: $ I = \frac{P}{V} $.
Our goal is to make the formula into something that looks like: $ P = $ (something else).
To do this, we need to remove the fraction involving $ P $.
We do this by performing the same operation on both sides of the equation to keep it balanced.

Transposing Terms

Transposing terms means moving them from one side of the equation to the other, while changing their sign if needed.
In our exercise, we don't need to change signs. We just need to multiply both sides by $ V $ to clear the fraction.
Here is the step:

Start with the equation $ I = \frac{P}{V} $.
Multiply both sides by $ V $: $ I \cdot V = \frac{P}{V} \cdot V $.

Multiplying by $ V $ helps us remove $ V $ from the right side, leaving $ P $ by itself.

Simplifying Equations

Simplifying equations involves performing basic arithmetic operations to reduce an equation to its simplest form.
After multiplying both sides by $ V $, we have: $ I \cdot V =\ P $.
Notice that the $ V $s on the right-hand side cancel each other out.
When fractions cancel out, this makes the equation simpler and easier to understand.
The final result is: $ P = I \cdot V $.
We now have $ P $ isolated and in its simplest form.

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91影视

Solve. $$ I=\frac{P}{V}, \text { for } P $$

Short Answer

Step by step solution

- Identify the Given Formula

- Identify the Variable to Solve For

- Isolate the Variable \(P\)

- Simplify the Equation

- Final Expression

Key Concepts

Isolate the Variable

Transposing Terms

Simplifying Equations

One App. One Place for Learning.

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