Mark Yeates, Jamie O'Hara and Kieran McKenna struck in an impressive display by Clive Allen's side who dominated throughout.
Charlie Daniels returned and was included in the starting line-up in place of Tomas Pekhart who scored two more goals for the Under-18s on Saturday. At 1-0 up, O'Hara and Andy Barcham assisted by Yeates both went close as the visitors applied the pressure. Reto Ziegler also tried an effort at goal.
Ben Alnwick was called on to make his first save of the night to deny Mark Randell before a diving header by Leigh Mills diverted further danger at the back just before half time.
Shortly after the interval Alnwick again saved from Randall but within 10 minutes Tottenham's lead was doubled.
Alnwick then saved a retaken penalty and prevented Nacer Barazite reducing the deficit, before Arsenal's Henri Landsbury was sent off for a second bookable offence. Spurs completed the rout in the final minute.
Clive Allen: "I was delighted with the way the boys responded to last week, we were bitterly disappointed as we said at the time. They worked really hard and I could sense that they were really up for the game.
"It was a young Arsenal side but, as I said to the boys, whatever side they put out would be looking to get a result against us and we had to do the job. I thought we went about it in the right way, they were difficult conditions, but the surface was very good and we played some excellent football to create our chances and score the goals."
"Adel has had his second game and I think he learned a lot last week, certainly about the nature of the game here. He responded in a positive way and I just felt that we looked likely to score, especially in the way we built up and we got crosses over the face the of the goal. That is where the first one came from."
"I thought it was a penalty and it was the first time I felt we were too deep defensively, they got into our area and a rash challenge cost us a penalty.
"Ben kept his nerve, he had a second chance to save and maybe outwitted the striker to make a good stop. Then we went on to control the game again, which was important."
Source: TottenhamHotspur.com