Discussion Overview
The discussion revolves around the concept of capacitor charging in a circuit with a DC voltage source, specifically addressing whether a capacitor can be considered fully charged and the implications of changing voltage on capacitance and charge storage.
Discussion Character
- Conceptual clarification
- Debate/contested
Main Points Raised
- One participant suggests that after a long time, the capacitor will have the same voltage across its terminals as the DC voltage source, implying it is fully charged.
- Another participant agrees that the capacitor is fully charged at that voltage but adds that increasing the DC voltage allows the capacitor to store more charge.
- A different participant questions the assertion that capacitance increases with an increase in DC voltage, stating that this is not true.
- One participant clarifies that while the charge stored in the capacitor increases with voltage, the capacitance itself remains constant, defined as the ratio of charge to voltage.
Areas of Agreement / Disagreement
There is disagreement regarding the relationship between voltage and capacitance, with some participants asserting that capacitance does not change with voltage, while others initially suggest otherwise. The discussion remains unresolved on this point.
Contextual Notes
Participants reference the definitions of capacitance and charge but do not explore the conditions under which these definitions hold, nor do they address potential nonlinearities in real capacitors at high voltages.