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littlecat

  • 2 years ago

The surface charge density of an object is σ = dq/dA. Why is the total charge on the surface, Q = double integral σ dA ?

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  1. ghazi
    • 2 years ago
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    total charge on surface = surface charge density* area basically, surface charge density is the charge per unit area ...which means how much charge does an unit area has. so here \[q=\int\limits_{0}^{A}dA*\sigma \]

  2. ghazi
    • 2 years ago
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    if charge density would have varied then we might have used \[q= \int\limits_{0}^{A}dA* \sigma + \int\limits_{0}^{\sigma} d \sigma*A\]

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