Potential difference in circuit with battery, resistors, switch, capacitor

AI Thread Summary
The discussion focuses on analyzing a circuit with a battery, resistors, a switch, and a capacitor. Immediately after the switch is closed, the uncharged capacitor acts like a short circuit, resulting in a higher current through the battery compared to the long-term state. Over time, as the capacitor charges, it will eventually stop current flow, making the circuit behave as if the capacitor is absent. The voltage across the capacitor will stabilize at a level determined by the circuit's resistors. Understanding these dynamics is crucial for solving the circuit's current behavior at different time intervals.
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Homework Statement



Consider the circuit shown in the Figure, where R1 = 29 and R2 = 4.8 .

http://www.webassign.net/walker/21-44alt.gif

(a) Is the current flowing through the battery immediately after the switch is closed greater than, less than, or the same as the current flowing through the battery long after the switch is closed?
Explain.

(b) Find the current flowing through the battery immediately after the switch is closed.

(c) Find the current in the battery long after the switch is closed.


Homework Equations





The Attempt at a Solution



I am completely lost on this. I'm sorry, but I don't even know how to begin. I hope you'll consider helping me anyway. :(
 
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Immediately after the switch is closed (at time 0+) the capacitor is still uncharged, and "looks like" a short circuit for all intents and purposes. You must have discussed this in class.

Similarly, after a long time, the capacitor will have charged up to whatever maximum amount is dictated by the surrounding circuit elements; no more current will flow into (or out of) the capacitor. The circuit will behave as though the capacitor is not there. What's the voltage across where it's connected?
 
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