Finding the Time Constant in a circuit

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SUMMARY

The time constant for the given circuit can be calculated using the formula T = RC, where R is the equivalent resistance and C is the capacitance. In this case, R1 is 100 Ohms and R2 is 200 Ohms, with C1 being 6 micro Farads. When switch K1 is open, the resistors are not in series or parallel, which complicates finding the equivalent resistance. The wire connecting the switch and R1 to the bottom node does not affect the circuit's behavior when the switch is open.

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Homework Statement


Find the time constant in the following circuit when switch K1 is open.
circuit_zps5c940856.jpg

R1 = 100 Ohms
R2 = 200 Ohms
C1 = 6 micro Farads
E1 = 9V

Homework Equations



T = RC

The Attempt at a Solution


When the resistors are in series or parallel, I am clear on how to do this, however when the capacitor is discharging, I don't think the resistors are in series or parallel, so I don't know how to find the equivalent resistance.
 
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Is the diagram correct? What is that wire that runs from where the switch and R1 meet down to the bottom node? Doesn't it prevent the switch and voltage source from affecting the rest of the circuit?
 

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