A parallel plate capacitor with plate area A & plate separation d is filled with a dielectric material of dielectric constant given by`K=K_(0)(1+alphax).`. Calculate capacitance of system: (given `alpha d ltlt 1)`.

Options

A. ` ( AK in _ 0 ) /( d ) ( 1 + alpha d ) `
B. ` ( A in _0 K ) /( d ) ( 1 + (( alphda d ) /(2)) ^(2)) `
C. ` ( A in _0 K ) /(d) ( 1 + ( alpha ^ 2 d ^(2))/(2)) `
D. ` ( AK in _ 0 ) /( d ) ( 1 + ( alpha d ) /(2)) `

Answer

4