... To increase the pressure you would need to input energy. Wouldn't that be the same with voltage?
You do need to add energy to increase the voltage, but it could be, for example, mechanical energy. If you have charge Q (and -Q) on the two plates of an air gap capacitor that are 1mm that make it have voltage v across the gap, and then you pull them farther apart, say to 1cm spacing you will do work against the electrical attraction between Q & -Q charges.
You will also reduce the capacitance by about a factor of 10, which I will assume for now.
Voltage on a capacitor is directly proportional to the charge on its plates and inversely proportional to the capacitance. So when plate are 10 cm apart the voltage is V =10v. The energy in a capacitor E = 0.5C V^2 or in this example pulling apart drops C by a factor of 10 and increase the V^2 by a factor of 100, so when you have done your work pulling apart there is now 10 times more energy in the capacitor.
Note however you can not get huge voltage and energy step ups this way by pulling the plates huge distance apart because when you have pulled the plates about 20 time the diameter of the plates you have reduced the capacitance to essentially zero and reduction of C below zero is not possible.
A note to phlogistician:
True that DC will not flow thru a capacitor, but implied is that the voltage of this DC is constant. If it should change, then the wires of the capacitor will have a current (out of the capacitor if the voltage is dropping and into the capacitor is it is rising, which would be Benny's case.)
However, another of the many things
Benny is ignorant of is that the electric field's voltage contours, which are constant voltage surfaces essentially parallel to the zero voltage surface of the Earth prior to his capacitor having any charge will change as it charges. I will try to "type draw" a "before" and "after" diagram:
Before:
------------------------------V where V> v. (The -------- represents constant voltage surface contours, one at V, the other at v.)
------------------------------v
..............C......................... dots represent the Earth and C a capacitor sitting on it.
After:
-----------
^---------------------V (The inverted V should be connected to the ------ s if drawing were better. I.e. the constant voltage contours are always continuous.)
-----------
^---------------------v
..............C.........................
The lightning is "looking" for an easy way to the zero potential ground, so it will avoid the region where higher above ground there is the bump up in the V voltage surface. I.e. even if Benny did manage to get some charge into his capacitor, that increase in its voltage would raise the voltage contours above his partially charged capacitor and cause the lightning bolt to by-pass his capacitor with an arc to ground at best, near his capacitor; however, I seriously doubt Benny will have this problem as the inductance of his lead in and divider wires plus that within the capacitor its self will make lightning by-pass his circuits from the very start so his capacitor will not develop much voltage and will not bend the voltage contours upward much.
BTW, lightning rods can be considered to work the same way, but with a copper rod sticking up it is the Zero voltage contour which is elevated up. This will attract lighting to it (instead of the house) as the lightning is "looking" for the easiest way to the zero potential surface (contour). With Benny's partially charged capacitor elevating the positive contours above it, it is REPELLING the lighting bolt - effectively telling the lightning:
"Look how high the voltage potential is here above the capacitor! - If you continue down towards it, you will have a long way to go, thru many more positive voltage contours. Be smart: by-past this high voltage hill and take the quick way to ground to the side of this higher voltage hill."
Lighting rods also, and more frequently, avoid any lightning strike near them or the house as their top is sharply pointed to encourage a weak steady discharge, which "bleeds off" the charge that if it continued to grow could become a bolt.
At time when it is very dark and there is great danger of a lighting strike this current makes enough ionization of the air to be visible. -It is called St Elmos' fire. - I have seen it from the top of an aluminum sailboat mast. - I was so scared that I even was praying as I knew what it was and that lightning might strike the mast, which was the highest thing for miles as I was in the ocean, far from land. At times that St Elmos' Fire was so strong I could hear it hissing!