A capacitor is made by taking two sheets of aluminum foil, each 0.022 mm thick and placing between them a sheet of paper which comes from a ream of 500 sheets, the ream being 5.5 cm thick with sheets measuring 216 mm by 279 mm. What is the capacitance of the capacitor made this way if the dielectric constant of the paper is 3.7?


THE ANSWER SHOULD BE (18nF)

Respuesta :

the answer is 18 nf in this equation

The capacitance of the capacitor if the dielectric constant of the paper is 3.7 :  18 nF

Given data :

Thickness of aluminium capacitor = 0.022 mm

Number of sheets = 500

Thickness of ream = 5.5 cm = 0.055 m

measurement of sheets = 0.216 m by 0.279 m

dielectric constant ( k ) = 3.7

Determine the capacitance of the capacitor

we will apply the capacitance formula below

C = Kε₀A / d

  = 3.7 * 8.85*10⁻¹² * 0.216 *0.279 / ( 0.055 / 500 )

  = 1.8 * 10⁻⁸F ≈ 18nF

Hence we can conclude that The capacitance of the capacitor if the dielectric constant of the paper is 3.7 :  18 nF

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