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A parallel-plate capacitor has circular plates of 10.8 cm radius and 1.07 mm sep

ID: 2280476 • Letter: A

Question

A parallel-plate capacitor has circular plates of 10.8 cm radius and 1.07 mm separation. (a) Calculate the capacitance in picofarads. (b) What charge in nanocoulombs will appear on the plates if a potential difference of 91.8 V is applied?

(a)

Number

Units

(b)

Number

(a)

Number

Units

pF pF/m H H/m A parallel-plate capacitor has circular plates of 10.8 cm radius and 1.07 mm separation. (a) Calculate the capacitance in picofarads. (b) What charge in nano coulombs will appear on the plates if a potential difference of 91.8 V is applied?

Explanation / Answer

Capacitance = epsilon*A/d = 8.85*10^-12 * 3.14*(0.108)^2/(1.07*10^-3) = 302pF


b) charge in nanocoulombs will appear on the plates if a potential difference of 91.8 V is applied is

= 91.8*302*10^-12 = 27.723nC

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