What Is the Equivalent Capacitance of Capacitors in Series and Parallel?

[v0id19]

Quick capacitor question

Homework Statement

Three capacitors are connected to a battery as shown in the figure below. Their capacitances are C1 = 3C, C2 = C, and C3 = 5C

What is the equivalent capacitance of this set of capacitors (in terms of C)?

Homework Equations

In parallel, C_tot=C₁+C₂+...+C_n
In series, 1/C_tot=1/C₁+1/C₂+...+1/C_n

The Attempt at a Solution

my book never says how to add capacitors that are both in series and parallel, so i have no idea. i know the formulas above, but idk how to combine them...

 

[Dadface]

Do it in two parts.Use your first equation above -this gives you the single capacitor that can replace C2 and C3 and now you are left with this single capacitor in series with C1