A parallel plate condenser with oil (dielectric constant 2) between the plates has capacitance C. If oil is removed, the capacitance of capacitor beco

Question

A parallel plate condenser with oil (dielectric constant 2) between the plates has capacitance C. If oil is removed, the capacitance of capacitor beco

A parallel plate condenser with oil (dielectric constant 2) between the plates has capacitance C. If oil is removed, the capacitance of capacitor becomes
A. `sqrt(2C)`
B. 2C
C. `(C)/(sqrt2)`
D. `(C)/(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 - D
The capacitance of a parallel plate capacitor with dielectric (oil) between its plates is.
`C=(Kepsi_(0)A)/(d).....(i)`
where `epsi_(0)`,=electric permittivity of free space
K=dielectric constant
A=area of each plate of capacitor
d=distance between two plates
When dielectric (oil) is removed, so capacitance `c_(0)=(epsi_(0)A)/(d).....(ii)`
Comparing Eqs. (i) and (iii), we get
`C=KC_(0)`
`Rightarrow C_(0)=(C)/(K)=(C)/(2) (therefore K=2)`