The home side made a bright start in the opening minutes, with a Barry Bannan ball nearly playing Svante Ingellson in on goal.
But that was about as good as it got for Wednesday, who have gone 13 years without a win in this fixture.
United made the most of a gift to take the lead in the 11th minute when Riedewald pinched the ball with the home side trying to play out of defence and Campbell finished with aplomb from O’Hare’s pass.
It maybe should have been 2-0 when Danny Ings latched on to another defensive error only to see his shot smothered by Ethan Horvath.
Ings did have the ball in the net before the break but his close-range finish was ruled out for offside.
The reprieve was short-lived for the home side.
Peck intercepted a ball by debutant Liam Cooper, on as a half-time replacement for the injured Dominic Iorfa, and Campbell made it three goals in three derby games with ease.
Cannon was denied one-on-one by Horvath and fellow substitute Patrick Bamford nearly flicked in from close range before Cannon grabbed his first goal of the season as the home fans headed for the exits.
The Owls, who have won just one of their 16 league games this season, did not manage a single shot on target.
