Find the charge on parallel plate capacitor having circular plates of radius 8 cm and plate separation 1 mm. The potential difference is 100 V:

Options

A. `1.78 xx 10^(-5)` C
B. `2 xx 10^(-9) C `
C. `1.78 xx 10^(-8) `C
D. `4.3xx 10^(4) `C

Answer

C

Explanation

q = CV and `= (epsilon_(0)A)/(d)`
`= (8.85 xx 10^(-12)xx 3.14 xx (0.08)^(2))/(1xx 10^(-3))`
`= (8.85 xx 10^(-12) xx 3.14 xx (0.08)^(2) xx 100)/(1xx 10^(-3))`
`= 1.78 xx 10^(-8) C `