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JEE Main 201411 AprilOnline
Exam
JEE Main
Year
2014
Date
11 April
Mode
Online
Subject
Physics
Chapter
Capacitance

JEE Main 2014 · 11 April · Online · Physics · Capacitance

A parallel plate capacitor is made of two plates of length 1 ,...

A parallel plate capacitor is made of two plates of length 1 , width ww and separated by distance dd. A dielectric slab (dielectric constant K\mathrm{K} ) that fits exactly between the plates is held near the edge of the plates. It is pulled into the capacitor by a force F=−∂U∂x\mathrm{F}=-\frac{\partial \mathrm{U}}{\partial \mathrm{x}} where U\mathrm{U} is the energy of the capacitor when dielectric is inside the capacitor up to distance xx (See figure). If the charge on the capacitor is Q then the force on the dielectric when it is near the edge is: A parallel plate capacitor is made of two plates of length 1 , width w and separated by distance d . A dielectric slab

Options

  1. AQ2 d2wl2εoK\frac{\mathrm{Q}^2 \mathrm{~d}}{2 \mathrm{wl}^2 \varepsilon_{\mathrm{o}}} \mathrm{K}
  2. BQ2 W2dl2ε0( K−1)\frac{\mathrm{Q}^2 \mathrm{~W}}{2 \mathrm{dl}^2 \varepsilon_0}(\mathrm{~K}-1)
  3. CQ2 d2wl2εo(K−1)\frac{\mathrm{Q}^2 \mathrm{~d}}{2 \mathrm{wl}^2 \varepsilon_{\mathrm{o}}}(\mathrm{K}-1)
  4. DQ2w2dl2εoK\frac{\mathrm{Q}^2 \mathrm{w}}{2 \mathrm{dl}^2 \varepsilon_{\mathrm{o}}} \mathrm{K}

Correct answer

C. Q2 d2wl2εo(K−1)\frac{\mathrm{Q}^2 \mathrm{~d}}{2 \mathrm{wl}^2 \varepsilon_{\mathrm{o}}}(\mathrm{K}-1)

Step-by-step solution

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