JEE MAIN - Physics (2022 - 24th June Morning Shift - No. 16)
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]
1.66
1.75
2.25
2.33
Explanation
Field inside the dielectric $$ = {\sigma \over {k{\varepsilon _0}}}$$
According to the given information,
$${\sigma \over {k{\varepsilon _0}}} = 3.6 \times {10^7}$$
$$ \Rightarrow {{{Q \over A}} \over {k{\varepsilon _0}}} = 3.6 \times {10^7}$$
$$ \Rightarrow k = 2.33$$
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