Parallel Plate Capacitors Video Lessons

Concept

Problem: Two 2.50 cm × 2.50 cm plates that form a parallel-plate capacitor are charged to ± 0.708 nC.a) What is the potential difference across the capacitor if the spacing between the plates is 3.00 mm?b) What is the electric field strength inside the capacitor if the spacing between the plates is 3.00 mm?

FREE Expert Solution

Capacitance:

$\overline{){\mathbit{C}}{\mathbf{=}}\frac{{\mathbit{\epsilon }}_{\mathbf{0}}\mathbit{A}}{\mathbit{d}}}$

Potential difference:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{Q}}{\mathbf{C}}}$

Electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{V}}{\mathbf{d}}}$

a)

Capacitance,

$\mathbit{C}\mathbf{=}\frac{\mathbf{\left(}\mathbf{8}\mathbf{.}\mathbf{85}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{12}}\mathbf{\right)}{\mathbf{\left(}\mathbf{2}\mathbf{.}\mathbf{50}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{2}}\mathbf{\right)}}^{\mathbf{2}}}{\mathbf{3}\mathbf{.}\mathbf{0}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}}$

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Problem Details

Two 2.50 cm × 2.50 cm plates that form a parallel-plate capacitor are charged to ± 0.708 nC.

a) What is the potential difference across the capacitor if the spacing between the plates is 3.00 mm?

b) What is the electric field strength inside the capacitor if the spacing between the plates is 3.00 mm?