For a parallel plate capacitor, given: Area of one plate = 41 cm2. Space between the plates = 2.5 mm. Material between the plates = air. Calculate the capacitance. Write your answer in pF (i.e. 10^-12 F)

Respuesta :

Answer:

Capacitance, C = 14.51 F

Explanation:

It is given that,

Area of a parallel plate capacitor, [tex]A=40\ cm^2=0.0041\ m^2[/tex]

Spacing between the plates, d = 2.5 mm = 0.0025 m

We need to find the capacitance of the parallel plate capacitor. Its formula is given by :

[tex]C=\dfrac{A\epsilon_o}{d}[/tex]

[tex]C=\dfrac{0.0041\times 8.85\times 10^{-12}}{0.0025}[/tex]

[tex]C=1.451\times 10^{-11}\ F[/tex]

[tex]C=14.51\times 10^{-12}\ F[/tex]

[tex]C=14.51\ pF[/tex]

So, the capacitance of the capacitor is 14.51 pF. Hence, this is the required solution.