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A uniformly charged disc of radius \(R\) having surface charge density \(\sigma\) is placed in the \(x y\) plane with it…

Q1

A uniformly charged disc of radius \(R\) having surface charge density \(\sigma\) is placed in the \(x y\) plane with its center at the origin. Find the electric field intensity along the z-axis at a distance \(Z\) from origin:

a

\(E=\frac{\sigma}{2 \varepsilon_0}\left(1+\frac{Z}{\left(Z^2+R^2\right)^{1 / 2}}\right)\)

b

\(E=\frac{\sigma}{2 \varepsilon_0}\left(1-\frac{Z}{\left(Z^2+R^2\right)^{1 / 2}}\right)\)

c

\(E=\frac{2 \varepsilon_0}{\sigma}\left(\frac{1}{\left(Z^2+R^2\right)^{1 / 2}}+Z\right)\)

d

\(E=\frac{\sigma}{2 \varepsilon_0}\left(\frac{1}{\left(Z^2+R^2\right)}+\frac{1}{Z^2}\right)\)

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