This picture, taken by passenger Martin Stewart, shows the broken cable hanging over the track in Radlett station yesterday.
Severe delays have been predicted on Southeastern, East Midlands Trains and First Capital Connect until the end of the week.
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London Underground's offer was conditional on unions responding by 6.30pm tonight.
Luke Gutteridge was taken to court after dropping a piece of fruit the size of a 10 pence coin.
The offer includes a 2% rise this year and £2,000 for drivers on the new all-night service.