Recall that there is a uniform electric field inside a capacitor. Recall also that in general, LaTeX: V=-/int{/vec{E}/cdot/vec{dl}}V = - ∫ E → ⋅ d l →. In regions of uniform field, this simplifies to LaTeX: V=|/vec{E}|dV = | E → | d, where d is the distance traveled parallel to the electric field. A capacitor with a gap of 0.5 mm has a potential difference from one plate to another of 22 V. What is the magnitude of the electric field within the capacitor? Give your answer in units of kV/m.

Question

Physics

Monica Bray

21 August, 17:18

Recall that there is a uniform electric field inside a capacitor. Recall also that in general, LaTeX: V=-/int{/vec{E}/cdot/vec{dl}}V = - ∫ E → ⋅ d l →. In regions of uniform field, this simplifies to LaTeX: V=|/vec{E}|dV = | E → | d, where d is the distance traveled parallel to the electric field. A capacitor with a gap of 0.5 mm has a potential difference from one plate to another of 22 V. What is the magnitude of the electric field within the capacitor? Give your answer in units of kV/m.

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Answers (1)

Know the Answer?

Dalton Vance · Answer 1

E = 44 kV / m

Explanation:

In a capacitor the potential difference is

ΔV = - E x

E = - ΔV / x

Let's reduce to the SI system

x = 0.5 mm = 0.5 10⁻³ m

Let's calculate

E = 22 / 0.5 10⁻³

E = 44 10³ V / m

E = 44 kV / m

Note that this electric field is uniform