Jamie Forrester's hat-trick inspired Lincoln to an impressive victory.
Forrester drilled in a shot for his first after Lee Frecklington crossed, with his second coming from a penalty, after he was fouled by Ross Flitney.
Lee Beevers swept home to make it 3-0, with Forrester completing his hat-trick early in the second half.
Nick Bailey fouled Frecklington in the area and Forrester beat Flitney for a second time from the spot, with Leon Mettam completing the rout late on.
Barnet: Flitney, Hendon (Devera 77), Charles, Warhurst (Yakubu 84), Nicolau, Cogan (Graham 62), Bailey, Sinclair, Puncheon, Vieira, Hatch.
Subs Not Used: Gross, Janiez-Ruin.
Booked: Flitney.
Lincoln: Marriott, Eaden, Moses (Brown 20), Beevers, Mayo, Amoo, Frecklington (Mettam 80), Kerr, Hughes, Forrester, Stallard (Gritton 75).
Subs Not Used: Rayner, Ryan.
Goals: Forrester 26, 33 pen, Beevers 38, Forrester 53 pen, Mettam 90.
Att: 2,409
Ref: C Penton (Sussex).