Finding the Time Constant in a circuit

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To find the time constant in the given circuit with switch K1 open, the relevant equation is T = RC, where R is the equivalent resistance and C is the capacitance. The circuit includes resistors R1 (100 Ohms) and R2 (200 Ohms) in conjunction with capacitor C1 (6 micro Farads) and a voltage source E1 (9V). The challenge arises in determining the equivalent resistance when the capacitor is discharging, as the configuration of the resistors may not be straightforwardly series or parallel. Clarification is sought regarding the role of a wire connecting the switch and R1, which may isolate parts of the circuit from the voltage source. Understanding these relationships is crucial for accurately calculating the time constant.
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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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