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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?
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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.
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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?
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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?.
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