A parallel plate capacitor is formed by two plates each of area 30$\pi$ 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 ${1 \over {4\pi {\varepsilon _0}}} = 9 \times {10^9}$ Nm2 C$-$2]
Solution
<p>Field inside the dielectric $= {\sigma \over {k{\varepsilon _0}}}$</p>
<p>According to the given information,</p>
<p>${\sigma \over {k{\varepsilon _0}}} = 3.6 \times {10^7}$</p>
<p>$\Rightarrow {{{Q \over A}} \over {k{\varepsilon _0}}} = 3.6 \times {10^7}$</p>
<p>$\Rightarrow k = 2.33$</p>
About this question
Subject: Physics · Chapter: Electrostatics · Topic: Dielectrics
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