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Electrostatic Potential and Capacitance

Electric potential

Two isolated charged conducting spheres of radii a and b produ

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Two isolated charged conducting spheres of radii $a$ and $b$ produce the same electric field near their surfaces. The ratio of electric potentials on their surfaces is

\frac{a}{b}

\frac{b}{a}

\frac{a ^{2}}{b ^{2}}

\frac{b ^{2}}{a ^{2}}

Views: 5,702 students

Updated on: Feb 2, 2024

Book:

Electricity and Magnetism (DC Pandey)

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Two isolated charged conducting spheres of radii

a

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b

produce the same electric field near their surfaces. The ratio of electric potentials on their surfaces is

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Text solutionVerified

E = \frac{σ}{ε _{0}}

E_{1} = E_{2}

∴ σ_{1} = σ_{2}

V = \frac{σ R}{ε _{0}}

V \propto R

(

σ \to

same)

\frac{V _{1}}{V _{2}} = \frac{R _{1}}{R _{2}} = \frac{a}{b}

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Question Text	Two isolated charged conducting spheres of radii $a$ and $b$ produce the same electric field near their surfaces. The ratio of electric potentials on their surfaces is
Updated On	Feb 2, 2024
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 3
Upvotes	372
Avg. Video Duration	10 min

Two isolated charged conducting spheres of radii $a$ and $b$ produce the same electric field near their surfaces. The ratio of electric potentials on their surfaces is

Text solutionVerified

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Two isolated charged conducting spheres of radii $a$ and $b$ produce the same electric field near their surfaces. The ratio of electric potentials on their surfaces is