Parallel Plate Capacitors Video Lessons

Concept

# Problem: Consider a charged parallel-plate capacitor. Which combination of changes would quadruple its capacitance?a) Double the charge and double the plate area.b) Double the charge and double the plate separation.c) Halve the charge and double the plate separation.d) Halve the charge and double the plate area.e) Halve the plate separation; double the plate area.f) Double the plate separation; halve the plate area.

###### FREE Expert Solution

In order to quadruple the capacitance, we need two actions that double the capacitance.

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

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###### Problem Details

Consider a charged parallel-plate capacitor. Which combination of changes would quadruple its capacitance?

a) Double the charge and double the plate area.

b) Double the charge and double the plate separation.

c) Halve the charge and double the plate separation.

d) Halve the charge and double the plate area.

e) Halve the plate separation; double the plate area.

f) Double the plate separation; halve the plate area.