please show all steps and workings

Consider the RC circuit below, having R_1 = 3k Ohm = R_2 = 2k Ohm, and C = 20 mu F. Assume a DC supply of 15V and that the capacitor starts out uncharged. The switch is left in position 1 for 100 ms before switching to position 2. Evaluate: The charging current at 15 ms The discharge current 0.2s after the switchover The time for discharging V_C to drop to 25% of the peak discharge value Sketch the capacitor voltage during the whole charge-discharge cycle, marking the most important points. The capacitor develops an internal fault across itself that results in a shunt leakage resistance of 18k Ohm. By applying lateral/creative thinking: Derive an expression for V_c and the current during charging. Derive an expression for V_c and for the current during discharge. Find the maximum voltage across the capacitor during an identical switching operation.Show transcribed image text Consider the RC circuit below, having R_1 = 3k Ohm = R_2 = 2k Ohm, and C = 20 mu F. Assume a DC supply of 15V and that the capacitor starts out uncharged. The switch is left in position 1 for 100 ms before switching to position 2. Evaluate: The charging current at 15 ms The discharge current 0.2s after the switchover The time for discharging V_C to drop to 25% of the peak discharge value Sketch the capacitor voltage during the whole charge-discharge cycle, marking the most important points. The capacitor develops an internal fault across itself that results in a shunt leakage resistance of 18k Ohm. By applying lateral/creative thinking: Derive an expression for V_c and the current during charging. Derive an expression for V_c and for the current during discharge. Find the maximum voltage across the capacitor during an identical switching operation.

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