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AIIMS 201826 May
Exam
AIIMS
Year
2018
Date
26 May
Subject
Physics
Chapter
Electrostatics

AIIMS 2018 · 26 May · Physics · Electrostatics

A uniformly charged non conducting disc with surface charge density...

A uniformly charged non conducting disc with surface charge density 10nC/m210 \mathrm{nC} / \mathrm{m}^2 having radius 3 cm3 \mathrm{~cm}. Then find the magnitude of electric field at a point on the perpendicular bisector at a distance 2 cm2 \mathrm{~cm} from origin of the disc. A uniformly charged non conducting disc with surface charge density 10 nC / m^2 having radius 3 ~cm . Then find the

Options

  1. A251 N/C251 \mathrm{~N} / \mathrm{C}
  2. B126 N/C126 \mathrm{~N} / \mathrm{C}
  3. C502 N/C502 \mathrm{~N} / \mathrm{C}
  4. D72 N/C72 \mathrm{~N} / \mathrm{C}

Correct answer

A. 251 N/C251 \mathrm{~N} / \mathrm{C}

Step-by-step solution

 E=σ4πε0(2π)[1−xR2+x2]=9×109×10×10−9×6.28[1−24+9]∴E=90×6.28[1−213]=251N/C\begin{aligned} & \text{ } E=\frac{\sigma}{4 \pi \varepsilon_0}(2 \pi)\left[1-\frac{x}{\sqrt{R^2+x^2}}\right] \\ & =9 \times 10^9 \times 10 \times 10^{-9} \times 6.28\left[1-\frac{2}{\sqrt{4+9}}\right] \\ & \therefore E=90 \times 6.28\left[1-\frac{2}{\sqrt{13}}\right]=251 \mathrm{ N} / \mathrm{C}\end{aligned}
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