Final answer:
Vc's contribution from each voltage source in a circuit is determined by analyzing the circuit's impedance and phase relationships of voltages. Vc is out of phase with VL by 180°, leading to cancellations in their contributions. Detailed analysis with Kirchhoff's law and phasor diagrams is required to calculate the exact contributions.
Step-by-step explanation:
The question asks about the contribution of Vc from different voltage sources in a circuit, specifically the 2V source, 4V source, and 8V source. To determine Vc's contribution, it is essential to understand the concept of impedance (Z) and how it affects the circuit. Impedance, whose units are ohms (Ω), is inversely related to the current (I) in the circuit; higher impedance means lower current. Impedance is a combination of resistance (R), inductive reactance (XL), and capacitive reactance (XC).
According to the provided information, voltages across components like VR, VL, and Vc are phase-shifted with relation to the current. In particular, Vc lags the current by 90°, which means it is out of phase with VL by 180°. To analyze how Vc's contributions from each source affects the total voltage, one would need to consider the phase relationships and magnitudes of the voltages. Without specifics of the circuit such as whether the sources are in series or parallel, it's not possible to calculate the exact contributions. However, it's important to note that because of phase difference, Vc from each source does not simply add up to the total peak voltage Vo of the source.
In a more detailed circuit analysis, Kirchhoff's voltage law and phasor diagrams can be used to determine the resultant voltage across the capacitor that is due to each individual voltage source, taking into account their respective phases and magnitudes. The example given in the information also indicates that capacitors can affect the potential differences in a circuit, and thus the charges (Q), influencing Vc as well.