Question

A capacitor consists of two parallel plates, each with an area of 16.0 cm2 , separated by a distance of 0.150 cm . The material that fills the volume between the plates has a dielectric constant of 6.00. The plates of the capacitor are connected to a 400 V battery.

Answer 1

Step-by-step explanation:

Given

area of capacitor
`A=16\ cm^2`

Distance between Capacitor
`d=0.15\ cm`

dielectric constant
`k=6`

Voltage applied
`V=400\ V`

Capacitance C is given by
`C=k(\epsilon A)/(d)`

`C=6* (8.85* 10^(-12)* 16* 10^(-4))/(0.15* 10^(-2))`

`C=56.64* 10^(-12)\ F`

Charge on Plates

`Q=C* V`

`Q=56.64* 10^(-12)* 400`

`Q=22,656* 10^(-12)`

`Q=22.656\ nC`