1. Tardigrade
  2. Question
  3. Physics
  4. A parallel plate capacitor is formed by two plates each of area 30 π cm 2 separated by 1 mm. A material of dielectric strength 3.6 × 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 × 10-6 C, the value of dielectric constant of the material is: text Use: (1/4 π ε0)=9 × 109 Nm 2 C -2

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A parallel plate capacitor is formed by two plates each of area $30 \,\pi cm ^{2}$ separated by $1 mm$. A material of dielectric strength $3.6 \times 10^{7} \,Vm ^{-1}$ is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is $7 \times 10^{-6} \,C$, the value of dielectric constant of the material is :
$\left\{\text { Use }: \frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9}\, Nm ^{2} \,C ^{-2}\right\}$

JEE MainJEE Main 2022Electrostatic Potential and Capacitance

Solution:

$K =\frac{ q }{ A \in_{0} E }=\frac{7 \times 10^{-6}}{30 \pi \times 10^{-4} \times \frac{1}{4 \pi \times 9 \times 10^{9}} \times 3.6 \times 10^{7}}$
$K =\frac{36 \times 7}{30 \times 3.6}=2.33$