Calculating time constant in RC circuit

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Hitman6267
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Circuit schematic with two 12 V sources, switch S1, resistors R, R1, R2 and R2 and R1 labelled, a capacitor C between nodes a and b carrying current ic, and the caption asking for the time constant after S1 closes at t = 0.

I know that T = RC

I've tried different combinations of R (not really sure what Req to take) but none of them worked. Any one can show me the right way ?
 
Have you tried taking the Thevenin equivalent for point a to b?
 
No I haven't and it was suggested on another forum and it worked. Thank you :)