1.

A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10^(-12)F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?

Answer»

Solution :Capacitance of capacitor with air as MEDIUM between the plates ,
`C_(0)=(in_(0)A)/(d)`
`8 xx10^(-12)= (in_(0)A)/(d)`
Now, dielectric fHled between two plates of capacitor and the distance between the PLATE is REDUCED to half, then the capacitance will be,
`C = (in_(0)A)/((d)/(2)) = (2K in_(0)A)/(d)`
`:. C= 2 xx6xx8xx10^(-12) ` ( From equation (1))
`=96 xx10^(-12) F `
`:.C = 96p E `


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