Finding the Time Constant in a circuit

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mlb2358
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Homework Statement


Find the time constant in the following circuit when switch K1 is open.
Circuit schematic with voltage source E1 on the left, switch K1 at the top left, resistor R1 in series along the top, resistor R2 hanging down in parallel with capacitor C1 on the right.

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.
 
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?