Multi Inductor/Resistor Circuit
In order to prepare an LR circuit, you arrange a \(14V\) battery with five resistors (\(R\)) and four inductors (\(L\)), as shown above. The resistors in this circuit have the following resistances: \(R_1=6Ω\), \(R_2=12Ω\), \(R_3=12Ω\), \(R_4=5Ω\), and \(R_5=7Ω\). The inductances of the inductors are as follows: \(L_1=18H\), \(L_2=9H\), \(L_3=6H\), and \(L_4=3H\). Determine the time constant (\(\tau\)) of this LR circuit in seconds.