Problem: A disk with radius R has uniform surface charge density σ.By regarding the disk as a series of thin concentric rings, the electric potential V at a point on the disk's axis a distance x from the center of the disk is  Derive an expression for −∂V/∂x.Express your answer in terms of the given quantities and appropriate constants.

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-dVdx=-ddx(σ2ε0(R2+x2-x))=-σ2ε0d(R2+x2-x)dx

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Problem Details

A disk with radius R has uniform surface charge density σ.

By regarding the disk as a series of thin concentric rings, the electric potential V at a point on the disk's axis a distance x from the center of the disk is 

 Derive an expression for −∂V/∂x.

Express your answer in terms of the given quantities and appropriate constants.

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