Question

A parallel plate capacitor is formed by two plates each of area 30p cm2 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 : [$\frac{1}{4πε0}$=9×109$Nm^2C^{-2}$]

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

Answer 1

Answer: (D)

2.33

Answer 2

The field inside the dielectric
=$\frac{σ}{kε_0}$
According to the given information,
$\frac{σ}{kε_0}$=3.6×107
⇒$\frac{\frac{Q}{A}}{kε0}$=3.6×107
⇒ k = 2.33
The correct option is (D) : 2.33