The electrodes of a parallel plate capacitor are squares of side 25 cm, separated by 1.5 mm. The gap is filled with a dielectric material of relative permittivity 6.8. What is the plate charge when the potential difference between the plates is 140 V?

Respuesta :

Answer:

[tex].351\mu C[/tex]

Explanation:

The side of the square = 25 cm =0.25 m

Area of square [tex]A=side^2=.25^2=0.00625m^2[/tex]

Separation between the plate d = 1.5 mm [tex]=1.5\times 10^{-3}m[/tex]

Relative permitivity k =6.8

The capacitance of the parallel plate capacitor is given by [tex]C=\frac{k\epsilon _0A}{d}=\frac{6.8\times 8.85\times 10^{-12}\times 0.00625}{1.5\times 10^{-3}}=2.5\times 10^{-9}F[/tex]

Voltage across the capacitor V =140 Volt

So charge Q = CV [tex]=2.5\times 10^{-9}\times 140=351\times 10^{-9}C=.351\mu C[/tex]