A disc of radius R has surface charge density σ=σ_0r, where r is the distance from the centre of the disc. Find the total charge on the disc.

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betssont97 · Accepted Answer

d  A  =  2      π    r  d  r    d  q  =      σ    d  A  =            σ        0    r  (  2      π    r  d  r  )    ⇒  q  =  r  =      ∫          r      =      0              r      =      R                  σ        0    r  (  2      π    r  d  r  )    ⇒  q  =  2      π              σ        0        ∫          r      =      0              r      =      R            r    2    d  r    q  =  2      π              σ        0    [            r      3        3        ]          r      =      0              r      =      R          q  =            2              π                              σ                0                    R        3              3

A disc of radius R has surface charge density σ=σ_0r, where r is the distance from the centre of the disc. Find the total charge on the disc.

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