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AIIMS 201827 May
Exam
AIIMS
Year
2018
Date
27 May
Subject
Physics
Chapter
Capacitance

AIIMS 2018 · 27 May · Physics · Capacitance

Electric field inside the given capacitor with dielectric is E and...

Electric field inside the given capacitor with dielectric is EE and dielectric constant of material is KK. Find charge density σ\sigma on the plates. (Given E=6×105 V/m,K=6E=6 \times 10^5 \mathrm{~V} / \mathrm{m}, K=6 ) Electric field inside the given capacitor with dielectric is E and dielectric constant of material is K . Find charge

Options

  1. A18.3×10−6C/m218.3 \times 10^{-6} \mathrm{C} / \mathrm{m}^2
  2. B8.1×10−7C/m28.1 \times 10^{-7} \mathrm{C} / \mathrm{m}^2
  3. C3.18×10−5C/m23.18 \times 10^{-5} \mathrm{C} / \mathrm{m}^2
  4. D3.18×10−10C/m23.18 \times 10^{-10} \mathrm{C} / \mathrm{m}^2

Correct answer

C. 3.18×10−5C/m23.18 \times 10^{-5} \mathrm{C} / \mathrm{m}^2

Step-by-step solution

:E=σε0⋅K;6×105=σ8.85×10−12×6σ=36×8.85×10−12×105C/m2σ=3.18×10−5C/m2\begin{aligned} & \text{}: E=\frac{\sigma}{\varepsilon_0 \cdot K} ; 6 \times 10^5=\frac{\sigma}{8.85 \times 10^{-12} \times 6} \\ & \sigma=36 \times 8.85 \times 10^{-12} \times 10^5 \mathrm{C} / \mathrm{m}^2 \\ & \sigma=3.18 \times 10^{-5} \mathrm{C} / \mathrm{m}^2\end{aligned}
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