5e Rage combo question

[Raymith]

I was reading the abjuration wizard's ability of Projected Ward, and was wondering... If the ward is placed on a raging barbarian, does the ward take the full damage of the attack, or the lesser resisted amount of damage the Barbarian would take?

[Blood of Gaea]

Nope, the Wards' pool of HP is separate from HP or THP, it's not affected by your resistances, immunities, and vulnerabilities.

[Vessyra]

Resistance and vulnerability are applied after all modifiers to damage. And as Blood of Gaea mentioned, the ability states that the ward take the damage, not you

[Joe the Rat]

Ward takes full.
Ward --> subtractions --> resistance /vuln modifier --> temp hp --> regular hp