Multi Resistor/Capacitor Circuit
In hopes of creating an RC circuit, you have a \(9V\) battery arranged in a circuit of five capacitors (\(C\)) and five resistors (\(R\)). This circuit has resistors with the following resistances: \(R_1=5Ω\), \(R_2=3Ω\), \(R_3=7Ω\), \(R_4=6Ω\), \(R_5=3Ω\). The capacitors have the following capacitance values: \(C_1=1F\), \(C_2=5F\), \(C_3=2F\), \(C_4=4F\), and \(C_5=8F\). Determine the circuit's time constant (\(\tau\)) in seconds.
Note: \(\tau =RC\).