Two isolated copper plates, each of area 0.40 m2, carry opposite charges of magnitude 7.08 × 10-10 C. They are placed opposite each other in parallel alignment, with a spacing of 4.0 cm between them. What is the potential difference between the plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Respuesta :

Answer:

The potential difference between the plates is 8 V.

Explanation:

Given that,

Area of plates = 0.40 m²

Charge [tex]q=7.08\times10^{-10}\ C[/tex]

Distance = 4.0 cm

We need to calculate the electric field

Using for formula of electric field

[tex] E=\dfrac{2q}{2\epsilon_{0}A}[/tex]

Where, q = charge

A = area

Put the value into the formula

[tex]E=\dfrac{7.08\times10^{-10}}{8.85\times10^{-12}\times0.40}[/tex]

[tex]E=200\ V/m[/tex]

We need to calculate the potential difference between the plates

Using formula of potential difference

[tex]V=E\times d[/tex]

Where, E = electric field

d = distance

Put the value into the formula

[tex]V=200\times0.04[/tex]

[tex]V=8\ V[/tex]

Hence, The potential difference between the plates is 8 V.

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