The visitors worked tirelessly after Murray Wallace had been dismissed in the 17th minute, but could not keep their efforts up after the break as Neil Adams's side romped to victory in the Championship.
Town were left to rue Murray's second red card of the season, having made a bright start.
The best chance of the first half fell Jerome's way, with his free header looping over the bar when it looked easier to score.
Norwich did not dwell on that, though, and came out firing after the interval to quickly put the result beyond doubt.
Less than a minute after the break, Hooper played a clever back-heel into Johnson's path, leaving the midfielder with a simple finish to give his team the lead.
Redmond doubled it just two minutes later, heading home a Martin Olsson cross, and Johnson quickly added a third by nodding in a rebound, after Howson had seen a volley blocked by Smithies.
The one-way traffic continued, with Jerome scoring the fourth on 69 minutes following a lovely move. Redmond had plenty of time to pick out Hooper, whose knockdown was prodded home by his strike partner.
Tiring by the minute, the 10 men of Huddersfield were punished even further by substitute Lewis Grabban, who scored with his first touch of the afternoon to put the icing on the cake for Norwich.