Class 10 Exam > Class 10 Questions > Derive an equation for heat produced in a con...
Start Learning for Free
Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double?
Most Upvoted Answer
Derive an equation for heat produced in a conductor of resistance R,wh...
Deriving the Heat Equation
When a current flows through a conductor, heat is produced due to the resistance of the material. The heat produced (H) can be derived using Joule's Law, which states that the heat generated is directly proportional to the square of the current, the resistance, and the time for which the current flows.
The equation for heat produced in a conductor is given by:
H = I²RT
Where:
- H = Heat produced (in Joules)
- I = Current (in Amperes)
- R = Resistance (in Ohms)
- T = Time (in seconds)
Effect of Doubling Current
When the current (I) is doubled, the new current becomes 2I. Substituting this into the original heat equation gives us:
H' = (2I)²RT
This simplifies to:
H' = 4I²RT
From this, we can see that:
- The heat produced when the current is doubled becomes four times the original heat produced.
- H' = 4H
Conclusion
- Heat Generation: The heat generated in a conductor is proportional to the square of the current.
- Doubling Current: If the current is doubled, the heat produced increases by a factor of four.
- Implication: This relationship illustrates the significant impact of current on heat generation in electrical conductors, emphasizing the need for careful consideration in electrical design to prevent overheating.
Understanding these principles is crucial for applications in electrical engineering and safety in circuit design.
When a current flows through a conductor, heat is produced due to the resistance of the material. The heat produced (H) can be derived using Joule's Law, which states that the heat generated is directly proportional to the square of the current, the resistance, and the time for which the current flows.
The equation for heat produced in a conductor is given by:
H = I²RT
Where:
- H = Heat produced (in Joules)
- I = Current (in Amperes)
- R = Resistance (in Ohms)
- T = Time (in seconds)
Effect of Doubling Current
When the current (I) is doubled, the new current becomes 2I. Substituting this into the original heat equation gives us:
H' = (2I)²RT
This simplifies to:
H' = 4I²RT
From this, we can see that:
- The heat produced when the current is doubled becomes four times the original heat produced.
- H' = 4H
Conclusion
- Heat Generation: The heat generated in a conductor is proportional to the square of the current.
- Doubling Current: If the current is doubled, the heat produced increases by a factor of four.
- Implication: This relationship illustrates the significant impact of current on heat generation in electrical conductors, emphasizing the need for careful consideration in electrical design to prevent overheating.
Understanding these principles is crucial for applications in electrical engineering and safety in circuit design.
Community Answer
Derive an equation for heat produced in a conductor of resistance R,wh...
heat increase 4 times
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double?
Question Description
Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double?.
Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double?.
Solutions for Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? defined & explained in the simplest way possible. Besides giving the explanation of
Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double?, a detailed solution for Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? has been provided alongside types of Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? theory, EduRev gives you an
ample number of questions to practice Derive an equation for heat produced in a conductor of resistance R,when a current I flows for time T. What happens to the heat produced when current becomes double? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup