Physics Exam > Physics Questions > A charge φis at the center of two concen...
Start Learning for Free
A charge φ is at the center of two concentric spheres. The outward electric flux through the inner sphere is φ while that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres is
- a)2q
- b)q
- c)-q
- d)-2q
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A charge φis at the center of two concentric spheres. The outward...
Free Test
FREE
| Start Free Test |
Community Answer
A charge φis at the center of two concentric spheres. The outward...
Given Information:
- A charge is at the center of two concentric spheres.
- The outward electric flux through the inner sphere is 1.
- The outward electric flux through the outer sphere is 2.
To Find:
The amount of charge contained in the region between the two spheres.
Explanation:
The electric flux through a closed surface is given by the formula:
Flux = (Charge enclosed) / (ε₀)
Where:
- Flux is the electric flux through the surface.
- Charge enclosed is the charge enclosed by the surface.
- ε₀ is the permittivity of free space.
In this case, we have two concentric spheres, an inner sphere and an outer sphere. Let's consider the electric flux through each of these spheres separately.
Electric Flux through the Inner Sphere:
The electric flux through the inner sphere is given as 1. Using the formula for electric flux, we can write:
1 = (Charge enclosed in the inner sphere) / (ε₀)
Therefore, the charge enclosed in the inner sphere is ε₀.
Electric Flux through the Outer Sphere:
The electric flux through the outer sphere is given as 2. Using the formula for electric flux, we can write:
2 = (Charge enclosed in the outer sphere) / (ε₀)
Therefore, the charge enclosed in the outer sphere is 2ε₀.
Charge Contained in the Region between the Two Spheres:
To find the charge contained in the region between the two spheres, we need to subtract the charge enclosed in the inner sphere from the charge enclosed in the outer sphere:
Charge = (Charge enclosed in the outer sphere) - (Charge enclosed in the inner sphere)
= 2ε₀ - ε₀
= ε₀
Therefore, the amount of charge contained in the region between the two spheres is ε₀.
Final Answer:
The correct option is (b) qc, which represents the amount of charge contained in the region between the two spheres.
- A charge is at the center of two concentric spheres.
- The outward electric flux through the inner sphere is 1.
- The outward electric flux through the outer sphere is 2.
To Find:
The amount of charge contained in the region between the two spheres.
Explanation:
The electric flux through a closed surface is given by the formula:
Flux = (Charge enclosed) / (ε₀)
Where:
- Flux is the electric flux through the surface.
- Charge enclosed is the charge enclosed by the surface.
- ε₀ is the permittivity of free space.
In this case, we have two concentric spheres, an inner sphere and an outer sphere. Let's consider the electric flux through each of these spheres separately.
Electric Flux through the Inner Sphere:
The electric flux through the inner sphere is given as 1. Using the formula for electric flux, we can write:
1 = (Charge enclosed in the inner sphere) / (ε₀)
Therefore, the charge enclosed in the inner sphere is ε₀.
Electric Flux through the Outer Sphere:
The electric flux through the outer sphere is given as 2. Using the formula for electric flux, we can write:
2 = (Charge enclosed in the outer sphere) / (ε₀)
Therefore, the charge enclosed in the outer sphere is 2ε₀.
Charge Contained in the Region between the Two Spheres:
To find the charge contained in the region between the two spheres, we need to subtract the charge enclosed in the inner sphere from the charge enclosed in the outer sphere:
Charge = (Charge enclosed in the outer sphere) - (Charge enclosed in the inner sphere)
= 2ε₀ - ε₀
= ε₀
Therefore, the amount of charge contained in the region between the two spheres is ε₀.
Final Answer:
The correct option is (b) qc, which represents the amount of charge contained in the region between the two spheres.
|
Explore Courses for Physics exam
|
|
Similar Physics Doubts
A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer?
Question Description
A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer?.
A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A charge φis at the center of two concentric spheres. The outward electric flux through the inner sphere is φwhile that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres isa)2qb)qc)-qd)-2qCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics 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