The capacitance of a parallel plate capacitor with air as medium is `3 muF.` with the introduction of a dielectric medium between the plates, the capa

Question

The capacitance of a parallel plate capacitor with air as medium is `3 muF.` with the introduction of a dielectric medium between the plates, the capa

The capacitance of a parallel plate capacitor with air as medium is `3 muF.` with the introduction of a dielectric medium between the plates, the capacitance becomes `15mu F.` The permittivity of the medium is
A. `5C^(2)N^(-1)M^(-2)`
B. `15C^(2)N^(-1)m^(-2)`
C. `0.44xx10^(-10)C^(2)N^(-1)m^(2)`
D. `8.854xx10^(-11)C^(2)N^(-1)m^(-2)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - C
Capacitance of parallel pate capacitor with air is `C = (epsi_(0)A)/(d)`
Capacitance of a same parallel plate capacitor with the introduction of a dielectric medium is ` C = (K epis_(0)A)/(d)`
where k is the dielectric constant of a medium
` or (C)/(C) = k or K = (15)/(3) = 5 or k = (epsi)/(epsi_(0))`
or ` epsi = Kepsi_(0) = 5 x 8.854 xx 10^(-12) = 0.4xx 10^(-10) C^(2)N^(-1) m^(2)`