A parallel-plate capacitor has plates of area 3.00×10 4 m2 . A.) What plate sepa
ID: 1589041 • Letter: A
Question
A parallel-plate capacitor has plates of area 3.00×104 m2 .
A.) What plate separation is required if the capacitance is to be 1600 pF ? Assume that the space between the plates is filled with air? (Dielectric constant for air is 1.00059)
Express your answer using three significant figures.
d=___m
B.) What plate separation is required if the capacitance is to be 1600 pF ? Assume that the space between the plates is filled with paper. (Dielectric constant for paper is 3.7)
Express your answer using two significant figures.
d=___m
Explanation / Answer
here,
area of the parallel plates , a = 3 * 10^-4 m^2
A)
let the space between plates be d
capacitance , C= 1600 * 10^-12
A * e0 /d = 1600 * 10^-12
3 * 10^-4 * 8.85 * 10^-12 / d = 1600 * 10^-12
d = 1.66 * 10^-6 m
the space between the plates is 1.66 *10^-6 m or 1.66 um
B)
let the space between plates be d
capacitance , C= 1600 * 10^-12
k = 3.7
k * A * e0 /d = 1600 * 10^-12
3 * 3.7*10^-4 * 8.85 * 10^-12 / d = 1600 * 10^-12
d = 6.14 * 10^-6 m
the space between the plates is 6.14 *10^-6 m or 6.14 um