Verified Solution • 2025–26 Session moderate

QJEEM22Ph122d: JEE Main 2022 Physics - Class 12 JEEM22Ph122d Solution: A parallel plate capacitor is formed by two plates each of area …

A parallel plate capacitor is formed by two plates each of area 30 π\pi cm2 separated by 1 mm. A material of dielectric strength 3.6 ×\times 107 Vm −- 1 is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is 7 ×\times 10 −- 6C, the value of dielectric constant of the material is :

[Use 14πε0=9×109{1 \over {4\pi {\varepsilon _0}}} = 9 \times {10^9} Nm2 C −- 2]

Multiple Choice Options

  • A 1.66
  • B 1.75
  • C 2.25
  • D 2.33

Step-by-Step Verified Solution

Field inside the dielectric =σkε0= {\sigma \over {k{\varepsilon _0}}}

According to the given information,

σkε0=3.6×107{\sigma \over {k{\varepsilon _0}}} = 3.6 \times {10^7}

⇒QAkε0=3.6×107\Rightarrow {{{Q \over A}} \over {k{\varepsilon _0}}} = 3.6 \times {10^7}

⇒k=2.33\Rightarrow k = 2.33

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