How Is Voltage Across a Resistor Equivalent to That Across a Capacitor?

AI Thread Summary
The discussion centers on understanding why the voltage across a resistor is equivalent to that across a fully charged capacitor in a circuit. The key principle is Kirchhoff's loop rule, which states that the net voltage change around a closed loop must equal zero. This implies that the voltage difference between two points in the circuit, specifically across the resistor and the capacitor, must be the same since they connect the same two points. The confusion arises from the relationship between resistance and voltage, particularly when determining the voltage across the resistor without knowing its value. Clarifying this concept is essential for solving more complex circuit problems.
mcpoopants
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Alright, so there is a very basic theory involving capacitors and electric potential that is throwing me off. I have a very basic problem here: http://img444.imageshack.us/img444/2251/73619554.png

Assume the switch is closed and the capacitor is fully charged. From here I'm prompted to find the final voltage across the capacitor. Pretty obvious, you use V=IR, but I'm missing out on the value of "R". In this problem it is just R2, which is given to you. My problem is that I do not understand how the voltage across that resistor is equivalent to the voltage across that fully charged capacitor. It'd really help to explain as slowly as possible, because it is a basic idea that is kicking my butt in more complicated problems. Thanks to all.
 
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Use kirchhoffs loop rule around R2 and the capacitor. When you move from a point in a circuit, back to the same point, the net voltage change must be zero. This is the same thing as saying that the voltage difference between a point and itself is zero.

So, if a point on the top wire---between the resistor and capacitor---has a given voltage difference from a point on the bottom wire---between the resistor and cap---across the resistor, it has to be the same as across the capacitor... because they're the same two points.

Does that make any sense?
 
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