When wiring a house its always a good idea to put lights and outlets on separate circuits which guarantees that if the outlet circuit fails you still have light. My short answer to the question is that yes lights and power outlets aka ac receptacles can be on the same circuit controlled by a circuit breaker especially in a single family residential house.
Basic House Wiring
Wiring lights and outlets. The first outlet is connected to the source and 2 wire cable runs from box to box. Wiring a gfci outlet with a light switch in the first diagram the single way switch and light bulb is connected to the load terminal of gfci. As long as you dont put too many lights on the light circuit you can usually control that circuit with a 15 amp breaker as well as wire it with a 14 gauge wire. Wiring lights and outlets it is typical that the room outlets and lights are wired together on one circuit. Wiring multiple outlets and a gfci here a gfci receptacle is added at the end of a row of duplex receptacles for single location protection. With this kind of an illustrative guide you will have the ability to troubleshoot stop and full your projects without difficulty.
All wires are spliced with a pigtail at the devices to pass current to the next. Remove the face plate from the outlet or junction box. Two wire cable runs from the combo to the light fixture and the switch output is connected to the black wire running to the fixture hot terminal. Wiring lights and outlets on same circuit diagram you will want a comprehensive professional and easy to know wiring diagram. Some duplex outlets can have different circuits running to adjacent outlets. For lights turn the light switch on and off to be sure.
At the light it connects to the neutral terminal. To be safe test both the top and bottom with the radio. This way the switch and light bulb is gfci protected. The source neutral wire is spliced to the neutral on the receptacle half of the combo device and to the white cable wire running to the light. Before doing any wiring plug the radio into other outlets you plan to work on. In the second diagram the light switch is connected to the line terminals of gfci.
Locate a nearby electrical outlet or junction box that the recessed light switch and the recessed light will be wired to.