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TS EAMCET · Physics · Capacitance

A parallel-plate capacitor of plate area 10 cm2 and plate separation 3 mm is charged to a potential difference 12 V and then the battery is disconnected. A slab of dielectric constant 3 is then inserted between the plates. The work done on the system in the process of inserting the slab is \(\alpha \varepsilon_0\). The value of a is (Take \(\varepsilon_0\)as the permittivity of free space)

  1. A 8
  2. B 12
  3. C 16
  4. D 18
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Answer & Solution

Correct Answer

(C) 16

Step-by-step Solution

Detailed explanation

Given that Area (A) \(=10 \times 10^{-4} \mathrm{~m}^2\) Separation (d) \(=3 \times 10^{-3} \mathrm{~m}\) Potential difference \(=12 \mathrm{~V}\) Dielectric constant \(\mathrm{K}=3\) Work done on the system is a change in potential energy. So work done will be…
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