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The potential difference between two isolated spheres of radii are same the ratio of their charge densities will be?
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The potential difference between two isolated spheres of radii are sam...
Explanation:
Charge Density:
- Charge density is defined as the amount of charge per unit volume. It is denoted by ρ.
- Mathematically, charge density ρ = Q/V, where Q is the total charge and V is the volume.
Potential Difference:
- The potential difference between two isolated spheres is proportional to the ratio of their charges and inversely proportional to the ratio of their radii.
- Mathematically, V = k(Q/R), where V is the potential difference, Q is the charge, R is the radius, and k is a constant.
Given:
- Let the charge densities of the two spheres be ρ1 and ρ2.
- Let the radii of the two spheres be R1 and R2.
- Let the potential difference between the two spheres be V.
Ratio of Charge Densities:
- Since the potential difference between the two spheres is the same, we have V = k(Q1/R1) = k(Q2/R2), where Q1 = ρ1*V1 and Q2 = ρ2*V2.
- Therefore, ρ1*V1/R1 = ρ2*V2/R2
- Simplifying, we get ρ1/R1 = ρ2/R2
- Thus, the ratio of charge densities is the same as the ratio of the radii of the two spheres.
Charge Density:
- Charge density is defined as the amount of charge per unit volume. It is denoted by ρ.
- Mathematically, charge density ρ = Q/V, where Q is the total charge and V is the volume.
Potential Difference:
- The potential difference between two isolated spheres is proportional to the ratio of their charges and inversely proportional to the ratio of their radii.
- Mathematically, V = k(Q/R), where V is the potential difference, Q is the charge, R is the radius, and k is a constant.
Given:
- Let the charge densities of the two spheres be ρ1 and ρ2.
- Let the radii of the two spheres be R1 and R2.
- Let the potential difference between the two spheres be V.
Ratio of Charge Densities:
- Since the potential difference between the two spheres is the same, we have V = k(Q1/R1) = k(Q2/R2), where Q1 = ρ1*V1 and Q2 = ρ2*V2.
- Therefore, ρ1*V1/R1 = ρ2*V2/R2
- Simplifying, we get ρ1/R1 = ρ2/R2
- Thus, the ratio of charge densities is the same as the ratio of the radii of the two spheres.
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The potential difference between two isolated spheres of radii are same the ratio of their charge densities will be?
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The potential difference between two isolated spheres of radii are same the ratio of their charge densities will be? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The potential difference between two isolated spheres of radii are same the ratio of their charge densities will be? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The potential difference between two isolated spheres of radii are same the ratio of their charge densities will be?.
The potential difference between two isolated spheres of radii are same the ratio of their charge densities will be? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The potential difference between two isolated spheres of radii are same the ratio of their charge densities will be? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The potential difference between two isolated spheres of radii are same the ratio of their charge densities will be?.
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