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I'm pretty sure I've got this right, but I would like to make sure before I hand this is.

V=10V DC source

I1 = 1H inductor

I2 = 2H inductor

R = Resistor

S= a switch that has been closed for a long time and is opened at t=0

|----I1---R---|----|

| | |

V I2 S

| | |

|-------------|----|

Am I correct in assuming that opening the switch will have no effect on the current running through I1 and R? In other words, would I be right in assuming that after the switch has been closed for a long time, I2 will become fully charged and can be treated as a short circuit in this simple problem?

Thanks for any help.