So we have learned the importance of artillery in the battle. Keep in mind that it is also important on the campaign map as in the battles you would otherwise prefer to let the AI command the army for you. Because of that the computer holds a great account in the cannons factor, a few cannons change a lot in the slider that shows how likely you are to win the battle. So if your system is not good enough to handle intense battles, do not forget to add a few cannon units, or more than a few, in fact you have quite sufficient line infantry, so that you can guarantee a more tendency of victory chased by the according AI battle.
Furthermore, we are also interested in playing on the battle map since this is what is napoleonic total war good at. The awesome battle graphics and the smasll campaign map means the producers actually did want us to play battle more oftenly, so if you have not the required system to handle all the graphics and such why do you buy the game and try to play it in the first place? Assuming you are already beyond this point, let us get to the part where you need to see the battle in the eyes of your cannons.
For these cannon fights, what is important is, positioning of the cannons. Yes exactly, where they are positioned is intensely important because it is what determines how likely they are to hit the enemy targets. For the most simple thoughts, it can be said that they need to be in high ground, a high ground that oversees all the battle map, or at least most of the battle map. There is something for certain, that the more part of the battle part the cannons see, the better it is. However, it is also important how you place your cannons on that very particular high ground. You should NOT place it on the top of the whole hill, where they can not see the downskirts of that exact hill, they are positioned on.
Because, the cannons are more likely to hit targets when they are close by, especially if they are firing carnister ammo onto the mere infantrymen with poor muzzle loading muskets. Also that, the fact that the infantry are wielding those muskets and they want to use it, it is possible for your cannons to fire carnisters and rain death on them as long as they insist on firing on them.
So, placing in high ground where the cannons can oversee the whole battle map, if they are only able to fire the infantrymen and other units of the enemy UNTIL they close by, it is a great waste of their position and also time, when they can fire no longer as the infantrymen have gone out of their line of sight. So what you should do is to put them on the downskirts of hills, and rotate them vertically to that they are looking at the enemy as a line and whole.