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Question diagram

A parallel- plate capacitor of area ( A ), plate separation ( d ) and capacitance ( C ) is filled with four dielectric materials having dielectric constant ( k _ { 1 } , k _ { 2 } , k _ { 3 } ) and ( k _ { 4 } ) as shown in the figure below. If a single dielectric material is to be used to have the same capacitance ( C ) in this capacitor, then its dielectric constant ( k ) is given by

Options

A.k = k _ { 1 } + k _ { 2 } + k _ { 3 } + 3 k _ { 4
B.k = \frac { 2 } { 3 } \left( k _ { 1 } + k _ { 2 } + k _ { 3 } \right) + 2 k _ { 4
C.\frac { 2 } { k } = \frac { 3 } { k _ { 1 } + k _ { 2 } + k _ { 3 } } + \frac { 1 } { k _ { 4 }
D.1k=1k1+1k2+1k3+32k4\frac { 1 } { k } = \frac { 1 } { k _ { 1 } } + \frac { 1 } { k _ { 2 } } + \frac { 1 } { k _ { 3 } } + \frac { 3 } { 2 k _ { 4 } }

Correct Answer

A. k = k { 1 } + k { 2 } + k { 3 } + 3 k { 4

Exam
NEET
Language
English
Year
2016
Difficulty
1/5
Section
Physics

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