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3. Complex RC Circuit Consider the circuit shown below. Initially, the capacitors are uncharged an ...
3. Complex RC Circuit Consider the circuit shown below. Initially, the capacitors are uncharged and the switch is open. The capacitances are as follows: \( C_{1}=C \) and \( C_{2}=2 C \). The resistances are: \( R_{1}=R, R_{2}=2 R \), and \( R_{3}=R_{4}=3 R \). Express your answers to the following questions in terms of \( C, R, \mathcal{E} \), and numerical constants. (a) What is the current that flows onto the upper plate of \( C_{1} \) immediately after the switch is closed? (b) A very long time after the switch is closed, what is the energy stored in \( C_{1} \) ?