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NEET UG PHYSICS MCQ: ELECTRIC FIELDS AND CHARGES

1 Hard
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Application +4 | -1
A uniformly charged disc of radius RR having surface charge density σ\sigma is placed in the xy- plane with its centre at the origin. Find the electric field intensity along the zz –axis at a distance ZZ from origin
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Correct option: A
E=σ2ε0(1−Z(Z2+R2))E = \frac{\sigma }{{2{\varepsilon _0}}}\left( {1 - \frac{\mathrm{Z}}{{\sqrt {({Z^2} + {R^2})} }}} \right)
Option A (E=σ2ε0(1−Z(Z2+R2))E = \frac{\sigma }{{2{\varepsilon _0}}}\left( {1 - \frac{\mathrm{Z}}{{\sqrt {({Z^2} + {R^2})} }}} \right)) is correct because it represents the electric field due to a charged disc along its axis, derived from integrating the contributions of infinitesimal rings.

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