The current I (in amps), the power P (in watts), and the resistance R (in ohms) are related by the formula I = V. What current is needed for a 1,200-watt hair dryer if the resistance is 16 ohms? First give the exact answer, expressed as a simplified radical expression. I = amps Then give an approximation, rounded to the nearest tenth. I= [ amps
The current I (in amps), the power P (in watts), and the resistance R (in ohms) are related by the formula I = V. What current is needed for a 1,200-watt hair dryer if the resistance is 16 ohms? First give the exact answer, expressed as a simplified radical expression. I = amps Then give an approximation, rounded to the nearest tenth. I= [ amps
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Understanding the Relationship Between Current, Power, and Resistance
The current \( I \) (in amps), the power \( P \) (in watts), and the resistance \( R \) (in ohms) are related by the following formula:
\[
I = \sqrt{\frac{P}{R}}
\]
#### Problem Statement
What current is needed for a **1,200-watt** hair dryer if the resistance is **16 ohms**?
#### Steps to Solve
1. **Give the exact answer, expressed as a simplified radical expression:**
\[
I = \boxed{} \text{ amps}
\]
2. **Then give an approximation, rounded to the nearest tenth:**
\[
I = \boxed{} \text{ amps}
\]
Using the provided formula, we can calculate the exact and approximate values for the current \( I \).
### Diagram/Graph Explanation
There are no graphs or diagrams provided in this particular problem. However, if there were, they would typically depict the relationship between power, resistance, and current, most likely involving a visual representation of the formula mentioned.
This type of problem helps students understand the practical application of the power formula in real-world scenarios, such as determining the electrical current needed in household appliances.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef7f77a8-174f-4382-a461-22b0c5210f9d%2F11ee41d6-8336-4b4d-a888-421ea1d860b0%2F4g9khav_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding the Relationship Between Current, Power, and Resistance
The current \( I \) (in amps), the power \( P \) (in watts), and the resistance \( R \) (in ohms) are related by the following formula:
\[
I = \sqrt{\frac{P}{R}}
\]
#### Problem Statement
What current is needed for a **1,200-watt** hair dryer if the resistance is **16 ohms**?
#### Steps to Solve
1. **Give the exact answer, expressed as a simplified radical expression:**
\[
I = \boxed{} \text{ amps}
\]
2. **Then give an approximation, rounded to the nearest tenth:**
\[
I = \boxed{} \text{ amps}
\]
Using the provided formula, we can calculate the exact and approximate values for the current \( I \).
### Diagram/Graph Explanation
There are no graphs or diagrams provided in this particular problem. However, if there were, they would typically depict the relationship between power, resistance, and current, most likely involving a visual representation of the formula mentioned.
This type of problem helps students understand the practical application of the power formula in real-world scenarios, such as determining the electrical current needed in household appliances.
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