Video:

Steps:

1. Enter the chamber and take the bridge to your left. Pick up the connector and place it such that it lights up the receptor next to the bridge.
2. Cross the newly formed bridge on your left. Pick up the first connector you see and move it slightly left.
3. Turn around and pick up the lamp behind you. Take it back over the bridge, and move around the side to place the lamp so that it shines on the receptor the connector is currently lighting.
4. Pick up the connector and run with it across both bridges on the left, past the setup from earlier, until you end up on the other side of the map. Stick to the left side of the second bridge - if it collapses beneath you, you either didn't stay far enough left or you didn't move the connector from step 2 far enough left.
5. Place the connector so that it just slightly doesn't light up the receptor that's on the bridge you just crossed.
6. Run back along the bridge and move the receptor there back towards its original location, so that it just slightly DOES light up the receptor.
7. Make your way back to your lamp and take it down both bridges on the right, before placing it so that it shines towards the exit. 8] Pick the connector on this side of the bridge back up and take a very narrow path across the right of the right-hand bridge, such that you don't light up the receptor.
8. Solve the rest of the chamber as usual, using the two connectors you now have available to make a path towards the exit.