In the circuit on the side, the capacitor is charged over a resistor. R = 2 kΩ, ε = 10 V and C = 1 µF. Capacitor is not loaded before switch S is closed. According to this: a) Find the time constant of the circuit and the maximum current in the circuit and determine the maximum load amount in the capacitor. b) Write the equations giving the load in the capacitor and the current in the circuit at any time t.

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