Final answer:
The change in frequency of an RLC circuit when a switch changes position cannot be determined without additional information about how components' values change. Generally, resonant frequency depends on capacitance and inductance, not resistance.
Step-by-step explanation:
When a switch in an RLC circuit is moved from position A, where it's been for a long time, to position B, the behavior of the circuit will change due to different components (resistors, inductors, or capacitors) now being part of the circuit pathway. However, the question about what happens to the frequency of the RLC circuit when the switch is thrown to position B cannot be answered with the information given, as it requires specific values or changes in the components to determine the frequency's behavior. That said, generally in an RLC circuit, the resonant frequency is determined by the inductance (L) and capacitance (C), and is given by the formula ω = 1/√(LC), where ω is the angular frequency. When the capacitance or inductance is increased by a factor, the resonant frequency would change according to this relation. If resistance (R) is increased, while it affects the quality factor and the bandwidth of the resonance, it does not directly affect the resonant frequency itself. Hence, without further specifics, we cannot determine whether the frequency increases, decreases, remains constant, or fluctuates just from the switch's position change.