But if you can design an amplifier or power supply, you probably already understand how to think of all the basic circuit elements and write down a differential equation modeling the circuit behavior.
With respect to RF, it's also a large field. In lower frequency regimes you can model everything as a lumped circuit element. As you get into higher microwave frequencies, you start needing to worry about modeling things as a distributed circuit. If you are focusing on things like antennas then you need to know more about electromagnetics. These days practicing engineers dealing with things like antennas and feedlines typically model them with computers. In some ways RF analog circuitry is disappearing as ADCs and associated digital circuitry are becoming advanced enough to swallow large bandwidth signals.
In many ways EE is pretty close to "applied physics", just focusing more on emag and less on mechanics.