If 10000 soldiers are standing on a three men deep line with one yard between each soldier, that would make a 3000 yard line (and one yard is probably pretty tight). A fireball would kill thirty soldiers in one strike, as would all spells of that radius. If the soldiers would be placed within 5 feet of each other, this number would go down to 18 soldiers per fireball.
This is the maximum a mid level wizard can kill per round. If 5th level mages are as rare as the city construction guide seems to imply, wizards are not that dangerous on a battle field. At mid levels, they can be compared to the artillery pieces of the 30 years war; they will make armies fight on thin lines instead of deep formations.
High level wizards are of course a bigger problem, but there will probably be one high level wizard per big army, and he or she has to make sure he/she isnt hunted down and killed by either enemy mages or heroes in the enemy army. So in a battle, wizards are able to kill maybe 1000-2000 soldiers (a very high number I confess), but for armies of the 30 year war size (20000-40000) it isnt the end of the army. The big army can still fight (with big losses from spells) after the wizards are out of spells.
This is the maximum a mid level wizard can kill per round. If 5th level mages are as rare as the city construction guide seems to imply, wizards are not that dangerous on a battle field. At mid levels, they can be compared to the artillery pieces of the 30 years war; they will make armies fight on thin lines instead of deep formations.
High level wizards are of course a bigger problem, but there will probably be one high level wizard per big army, and he or she has to make sure he/she isnt hunted down and killed by either enemy mages or heroes in the enemy army. So in a battle, wizards are able to kill maybe 1000-2000 soldiers (a very high number I confess), but for armies of the 30 year war size (20000-40000) it isnt the end of the army. The big army can still fight (with big losses from spells) after the wizards are out of spells.