Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Capacitor Paradox   Consider two capacitors in parallel, but initially isolated by a switch such
that one is charged and the other not. After the switch is closed, the charges
redistribute themselves in such a way that the final electrostatic energy is
less than the initial. We show that the "missing" energy has been radiated away
by including an appropriate form of the radiation action in an equivalent
circuit analysis.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org