A parallel plate capacitor is having separation between plates 0.885 mm. It has a capacitance of 1 μF when the space between the plates is filled with an insulating material of resistivity 1×10¹³ Ωm and resistance 17.7×10¹⁴ Ω. Relative permittivity of the insulating material is α×10⁷. The value of α is _ _ _. (Take permittivity of free space =8.85×10⁻¹² F/m)

Electrostatics: JEE Main 2026 Physics question

JEE Main 2026 · 8 Apr, Evening shift · Q46

JEE Main 20268 Apr, Evening shiftPhysicsHardElectrostatics167× since 2002

A parallel plate capacitor is having separation between plates 0.885 mm. It has a capacitance of 1 μF when the space between the plates is filled with an insulating material of resistivity

1\times10^{13}

Ωm and resistance

17.7\times10^{14}

Ω. Relative permittivity of the insulating material is

\alpha\times10^7

. The value of

\alpha

is ______. (Take permittivity of free space

=8.85\times10^{-12}

F/m)

Your answerType your answer. Integers and decimals are accepted.

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