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QJEEM22Ph052e: JEE Main 2022 Physics - Class 12 JEEM22Ph052e Solution: A parallel plate capacitor with plate area A and plate…

A parallel plate capacitor with plate area A and plate separation d = 2 m has a capacitance of 4 μ\mu F. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant K = 3 (as shown in figure) will be :

JEE Main 2022 (Online) 26th June Evening Shift Physics - Capacitor Question 62 English

Multiple Choice Options

  • A 2 μ\mu F
  • B 32 μ\mu F
  • C 6 μ\mu F
  • D 8 μ\mu F

Step-by-Step Verified Solution

Equivalent circuit is

JEE Main 2022 (Online) 26th June Evening Shift Physics - Capacitor Question 62 English Explanation

Now, ε0Ad=4 μF{{{\varepsilon _0}A} \over d} = 4\,\mu F

⇒128ε0Ad=6 μF\Rightarrow {{12} \over 8}{{{\varepsilon _0}A} \over d} = 6\,\mu F

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