Class 12 Exam > Class 12 Questions > eight small drops each of radius r and having...
Start Learning for Free
eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is
Most Upvoted Answer
eight small drops each of radius r and having same charge q are combin...
Introduction
When small charged droplets combine to form a larger droplet, the potential of the new droplet can be determined based on the principles of electrostatics.
Charge Distribution
- Each small drop has a charge 'q'.
- When eight small drops combine, the total charge 'Q' of the big drop becomes:
- Q = 8q
Volume and Radius Relationship
- The volume of a spherical droplet is given by:
- V = (4/3)πr³
- The volume of the big drop (V_big) is:
- V_big = 8 * V_small = 8 * (4/3)πr³
- Thus, the radius of the big drop (R) can be derived from its volume:
- R³ = 8 * r³
- R = 2r
Potential of the Droplets
- The electric potential (V) of a charged sphere is given by:
- V = k * Q / R, where k is Coulomb's constant.
- For the small drop:
- V_small = k * q / r
- For the big drop:
- V_big = k * Q / R = k * (8q) / (2r) = (4k * q) / r
Ratio of Potentials
- The ratio of the potential of the big drop to that of the small drop can be calculated:
- Ratio = V_big / V_small = [(4k * q) / r] / [k * q / r] = 4
Conclusion
The ratio between the potential of the bigger drop and that of the smaller drop is 4. This illustrates how combining charged droplets alters their electrostatic potential due to changes in size and charge distribution.
When small charged droplets combine to form a larger droplet, the potential of the new droplet can be determined based on the principles of electrostatics.
Charge Distribution
- Each small drop has a charge 'q'.
- When eight small drops combine, the total charge 'Q' of the big drop becomes:
- Q = 8q
Volume and Radius Relationship
- The volume of a spherical droplet is given by:
- V = (4/3)πr³
- The volume of the big drop (V_big) is:
- V_big = 8 * V_small = 8 * (4/3)πr³
- Thus, the radius of the big drop (R) can be derived from its volume:
- R³ = 8 * r³
- R = 2r
Potential of the Droplets
- The electric potential (V) of a charged sphere is given by:
- V = k * Q / R, where k is Coulomb's constant.
- For the small drop:
- V_small = k * q / r
- For the big drop:
- V_big = k * Q / R = k * (8q) / (2r) = (4k * q) / r
Ratio of Potentials
- The ratio of the potential of the big drop to that of the small drop can be calculated:
- Ratio = V_big / V_small = [(4k * q) / r] / [k * q / r] = 4
Conclusion
The ratio between the potential of the bigger drop and that of the smaller drop is 4. This illustrates how combining charged droplets alters their electrostatic potential due to changes in size and charge distribution.
Community Answer
eight small drops each of radius r and having same charge q are combin...
4:1
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is
Question Description
eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is.
eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is.
Solutions for eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is defined & explained in the simplest way possible. Besides giving the explanation of
eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is, a detailed solution for eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is has been provided alongside types of eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is theory, EduRev gives you an
ample number of questions to practice eight small drops each of radius r and having same charge q are combined to form big drop .the ratio betn the potential of the bigger drop and smaller drop is tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup