1.

A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its plates is ‘d'. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant K_1 =3and thickness d/3 while the other one has dielectric constant K_2 = 6 and thickness2/3d. Capacitance of the capacitor is now

Answer»

`1.8 pF`
`45pF`
`40.5 pF`
`20.25 pF`

Solution :Here `C = (epsi_0A)/d = 9 pF`
When capacitor is filled with two DIELECTRICS, the NEW capacitance
`C. = (epsi_0A)/((d_1/K_1 + d_1/k_2))=(epsi_0A)/(((d//3)/3+ (2D//3)/6))=(epsi_0A)/(((2d)/9)) = 9/2 (epsi_0A)/d = 9/2 xx 9 pF= 40.5 pF`


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