What is the current flowing through the 100muf capacitor, Physics

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What is the current flowing through the 100muf capacitor

(a) What is the time constant of this circuit?

(b) What is the current flowing through the 100μF capacitor when the circuit is first hooked up? Assume the capacitors are completely uncharged?

(c) What is the current as a function of time in the 5Ω resistor? What is the voltage on one of the 2.7μF as a function of time?

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