An unchanged capacitor with a solid dielectric is connected to a similar air capacitor charged to a potential of `V_(0).`. If the common potential aft

Question

An unchanged capacitor with a solid dielectric is connected to a similar air capacitor charged to a potential of `V_(0).`. If the common potential aft

An unchanged capacitor with a solid dielectric is connected to a similar air capacitor charged to a potential of `V_(0).`. If the common potential after sharing of charges becomes V, then the dielectric constant of the dielectric must be
A. `V_(0)//V`
B. `(V)/(V_(0))`
C. `((V_(0)-V))/(V)`
D. `((V_(0)-V))/(V_(0))`

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

Salim Ahmed Kawsar

Correct Answer - C
`"Common potential, V"=("Total charge")/("Total capacitance")`
`V=(C_(1)V_(1)+C_(2)V_(2))/(C_(1)+C_(2))=(0+CV_(0))/(KC+C)`
`K=(V_(0))/(V)-1=(V_(0)-V)/(V)`

4 views Answered 2023-02-05 15:29