Two parallel plates are charged with 7.58*10^-9 C of charge. What must the area of the plates be to create an electric field of 47500 N/C? (Unit = m^2)

Respuesta :

Answer:

area of the plates is 0.01802 m²

Explanation:

given,

charge between the plate = 7.58 × 10⁻⁹ C

electric field = 47500 N/C

E = [tex]\dfrac{V}{d}[/tex]

V = E× d

charge on the plate

 Q = C V

Q =[tex]\dfrac{\varepsilon _0 A}{d}\times V[/tex]

Q = ∈₀ × A × E

A = [tex]\dfrac{Q}{\varepsilon _0 E}[/tex]

A = [tex]\dfrac{7.58 \times 10^{-9}}{8.854\times 10^{-12} \times 47500}[/tex]

A = 0.01802 m²

hence, area of the plates is 0.01802 m²