# 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.

Note: $$\tau=\frac{L_{circuit}}{R_{circuit}}$$

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