Combining Capacitors in Series & Parallel Video Lessons

Concept

Problem: You have two identical capacitors and an external potential source.Compare the maximum amount of charge stored in each case.Q(parallel)/Q(series) =?

FREE Expert Solution

Charge stored in a capacitor:

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

Equivalent capacitance in series:

$\overline{)\frac{\mathbf{1}}{{\mathbf{C}}_{\mathbf{e}\mathbf{q}}}{\mathbf{=}}\frac{\mathbf{1}}{{\mathbf{C}}_{\mathbf{1}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{C}}_{\mathbf{2}}}}$

Equivalent capacitance in parallel:

$\overline{){{\mathbf{C}}}_{\mathbf{e}\mathbf{q}}{\mathbf{=}}{{\mathbf{C}}}_{{\mathbf{1}}}{\mathbf{+}}{{\mathbf{C}}}_{{\mathbf{2}}}}$

Connecting two identical capacitors in series will half the capacitance.

Problem Details

You have two identical capacitors and an external potential source.

Compare the maximum amount of charge stored in each case.
Q(parallel)/Q(series) =?