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The electrostatic potential inside a cha...

The electrostatic potential inside a charged spherical ball is given by `phi = ar^(2) + b`, where r is distance from the center of the ball, a and b are constants. Calculate the charge density inside the ball.

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To find the charge density inside a charged spherical ball given the electrostatic potential \( \phi = ar^2 + b \), we can follow these steps: ### Step 1: Determine the Electric Field The electric field \( E \) is related to the electrostatic potential \( \phi \) by the equation: \[ E = -\frac{d\phi}{dr} \] Given \( \phi = ar^2 + b \), we differentiate \( \phi \) with respect to \( r \): ...
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