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What will the surface charge density be if the radius of the disk is doubled but its total charge remains the same

User Rohunb
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Answer:

the new surface charge density = Q/4πr²( initial surface charge density divided by 4)

Step-by-step explanation:

charge density(surface) = Q/A = charge/area

let r be the initial radius of the disk

therefore, area A = πr²

charge density = Q/πr²

Now that the radius is doubled, let it be represented as R

∴ R = 2r

Recall, charge density = Q/A

A = πR = π(2r)² = 4πr²

the new surface charge density = Q/4πr²

the initial surface charge density divided by 4

User George Forster
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