# What is the equivalent capacitance when a capacitor is connected in parallel with a conducting wire?

What is the equivalent capacitance when a capacitor is connected in parallel with a conducting wire?

For example something like this circuit: Suppose each capacitor has a capacitance 1 microfarad.We can easily notice the vertical axis of symmetry.Hence we can isolate the central junction.

I'm getting the equivalent capacitance of upper branch as as 3/8 microfarad using formula for capacitors in series i.e. 1/(1/1+1/1.5+1/1) microfarad .Therefore capacitance of the whole circuit is 3/8+3/8+0=3/4 microfarad.

However according to my textbook the answer is 2 microfarad.Where am I going wrong?

• In reference to the second schematic you drew, the wire in the middle is a dead short. Those capacitors may as well not be in circuit from an electrical perspective... Aug 29, 2016 at 2:17
• So you mean capacitance is 0 ? @vicatcu
– user72436
Aug 29, 2016 at 2:26
• Did your schematic come out correctly? It doesn't look like it's a correct re-drawing of the original circuit. Aug 29, 2016 at 2:59