Tilted metallic plate touching two capacitor plates

A parallel plate capacitor of capacitance $$C$$ is as shown. A thin metal plate A is placed between the plates of the given capacitor in such a way that its edges touch the two plates as shown. Find the capacitance across $$P$$ and $$Q$$.

I think the answer is $$0$$ as the current literally passes through the capacitor since metal is touching both the plates.

But the answer given is infinity, "because $$d$$ becomes zero". What does this mean? Why is my answer wrong?

• I think I saw this question in PSE before but I can't find it ... – SG8 May 26 at 5:39
• its really bugging me – RUP May 26 at 10:43
• Infinite capacitance in parallel with a short is a short. – relayman357 May 26 at 12:02
• This post might be useful. – Vincent Thacker May 26 at 13:42