A 10kW resistor is connected in series with a 330F capacitor which charges from a 12.0-Volt battery,

                                  

 

A 10kW resistor is connected in series with a 330μF capacitor which charges from a 12.0-Volt battery, determine:

• the time constant of the circuit.                                                         
• the initial current through the capacitor.                                            
• Assuming the capacitor is fully uncharged initially, how long will it take the capacitor to charge to 10 Volts?                                                         
•  If the same components are used as a low-pass filter, determine the cut-off frequency of the low-pass filter.