A parallel plate capacitor with air as dielectric between the plates has a separation of 5mm and plate area` 50 cm^(2)` is connected to a 200V source. Calculate
a. the charge on the plates.
(b) the charge on the plates if the space between the plates is filled with a dielectric K=5

Explanation

Data supplied,
`C=(epsi_(0) KA)/(d) and q=CV " "epsi_(0)=8.854 xx 10^(-2) C^(2)//Nm^(2)`
K=1 for air `A=50 cm^(2)=50 xx 10^(-1) m^(2)" "d=5mm=5 xx 10^(-3)m`
V=200V
`a, therefore q=(epsi_(0)KV)/(d)=(8.854 xx 10^(-12) xx 1 xx 50 xx 10^(-4) xx 200)/(5 xx 10^(-3))=1.77 xx 10^(-9)C=1.77nC`
(b), `q=(epsi_(0) K.A.V)/(d)=(8.854 xx 10^(-12) xx 5 xx 50 xx 10^(-4) xx 200)/(5 xx 10^(-3))" "q=8.85nC`