Dispel cards are vitally important because they are used to counter hostile magic. When an enemy wizard casts a spell then you may play a Dispel card to try and stop it working.
To see if the Dispel is successful, roll a D6. On the roll of a 4, 5 or 6 the enemy spell is cancelled or dispelled: the spell fails and the power cards which were used to power it are placed on the discard pile. If you fail to cancel a spell, you may make another attempt, assuming you have another Dispel card. Any number of Dispels may be attempted in this way, subject to the restrictions noted below.
The first Dispel attempted against a spell is always assumed to have been cast by your highest level wizard. If this fails, the next Dispel is cast by your next highest wizard, and so on. Once all your wizards have attempted (and failed) to dispel a spell then you can still use any further Dispels you have but you will require a 5 or 6 to succeed rather than a 4, 5 or 6.
Wizards receive a +1 bonus when they attempt a Dispel against a spell cast by a lower level wizard. They therefore make a successful Dispel on the D6 roll of 3, 4, 5, or 6.
Wizards suffer a -1 penalty when they attempt a Dispel against a spell cast by a higher level wizard. They therefore make a successful Dispel on the D6 roll of a 5 or a 6.
In the case of a Dwarf army the natural magical resistance of these creatures means that Dispels always work on a roll of 4+ even if there is no wizard in the army. Dwarfs do not have wizards, so they rely more upon their natural resilience to magic than other races.
When it is a player's turn to cast a spell he may instead play a Dispel card to cancel a spell which is already in play. In the case of a spell which is in play, only one attempt may be made to dispel it per magic phase. The Dispel will work on the appropriate D6 dice roll exactly as described above.
Note that a Dispel can only be played on a spell and never on another magic card. You cannot, for example, attempt to dispel another Dispel card. You can dispel spells which are cast using magic items, as these are considered to be spells in the same way as any others.