Heating with PV panels vs black paint
Suppose I've got 2 boxes of water in my yard. Both boxes have a large footprint but are very short, for example 10' long x 10' wide x 1' tall, so that only the top gets meaningful sun exposure and we can ignore the other sides.
Box A is painted black, using the most absorptive paint known to man. Or whatever other non-PV surface that will maximize the collection of heat.
Box B is perfectly covered with a solar panel. The solar panel is directly connected to a resistive heating element submerged in the water.
How much of a difference is there in the amount of water heating that occurs? Is it fair to say that if box B's solar panel is rated for 20% efficiency, then the water in box B will gain 20% as much energy as box A (plus whatever heat travels from the solar panel directly into the box, if they are thermally coupled enough rather than spaced out and casting a shadow on the box)?