Combining Capacitors in Series & Parallel Video Lessons

Concept

# Problem: The switch S is closed for a long time and charges the capacitors. There is a dielectric k in C3. Find the charge and potential on each capacitor.

###### FREE Expert Solution

For capacitors in series, the equivalent capacitance is for two capacitors:

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

For capacitors in parallel, the equivalent capacitance is:

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

Charge:

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

C2 and C3 are in parallel.

C23 = C2 + kC3

C1 and C23 are in series.

C123 = C1(C2 + kC3)/(C1 + C2 + kC3)

100% (118 ratings)
###### Problem Details

The switch S is closed for a long time and charges the capacitors. There is a dielectric k in C3. Find the charge and potential on each capacitor.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Combining Capacitors in Series & Parallel concept. You can view video lessons to learn Combining Capacitors in Series & Parallel. Or if you need more Combining Capacitors in Series & Parallel practice, you can also practice Combining Capacitors in Series & Parallel practice problems.