Would a random damage type table for my damaging spells unbalance a wizard?

For background reasons, my character knows that he is linked to one damage type (e.g. fire, cold, lightning, etc.) due to his ancestry. The problem is, that he doesn’t know yet which one. He became a wizard to find out about his past and his heritage. Naturally, if he knew that fire were his element, he would put more effort into researching fire spells and I would pick spells like burning hands and scorching ray. Consequently, if his “elemental-background-thingy” were ice/cold, I would choose ice knife, cone of cold, etc. as his spells. If there were not enough spells to sufficiently represent a damage type, my GM would probably let me reskin some of the spells to fit the damage type.

In order to leave all possibilities open, my wizard would have tried to avoid learning spells that do only one type of damage. Chromatic orb would be an optimal choice. Unfortunately, there aren’t that many spells that let you choose what kind of damage you would like to deal. So I plan to introduce a random table, that determines which type of damage a spell deals. This could change every time he casts a spell. The in-universe explanation would be that he includes a random element in the thesis for his damaging spells when he writes them into his spellbook. So the Weave randomly “decides” which type of damage is dealt at the moment the spell is cast.

I think the table from the chaos bolt spell would be suitable for such randomness. Every time a damaging spell is cast, I would roll an additional d8, which would determine the damage type. Of course, this would make no sense for some spells, but I wouldn’t pick them anyway. This small table would be right next to my character sheet, so it wouldn’t take extra time to figure out what happens. The obvious upside is that a “fireball” could be used against something with immunity to fire damage, if another damage type is rolled on the random table. I think this advantage is balanced by the risk of dealing some kind of damage the enemy is immune to, e.g. poison damage against an earth elemental. I don’t know if this randomness would make my wizard more powerful, less powerful, or just powerful in a different way. So my question is:

Would a random damage type table for my damaging spells unbalance my wizard?

Can a multiclassed Spell Sage (wizard archtype) use the ability Focused Spells with a different class’s spells?

Can a multiclassed Spell Sage (wizard archtype) use the ability Focused Spells with a different class’s spells?

The ability says:

once per day the spell sage’s understanding of spells allows him to increase his caster level by 4 for a single spell cast.

Can this be applied to a sorcerer’s magic missile?

Can an Evocation Wizard that casts wish to duplicate Chaos Bolt add their intelligence modifier to the damage?

The Evocation Wizard gets the Empowered Evocation feature which states:

Beginning at 10th level, you can add your Intelligence modifier to one damage roll of any wizard evocation spell you cast.

The wish states:

The basic use of this spell is to duplicate any other spell of 8th level or lower. You don’t need to meet any requirements in that spell, including costly components. The spell simply takes effect…

Notably Empowered Evocation only applies when you cast wizard spells but the chaos bolt spell is Sorcerer exclusive.

I would like answers to assume that Duplicating a spell using wish counts as casting the duplicated spell. What I am unsure of is if a Wizard duplicates a spell with wish does that spell now count as a Wizard spell?

How do prepared and known spells work for a multiclassed Eldritch Knight 7 / Wizard 2-3? [duplicate]

This question already has an answer here:

  • If I multiclass into 2 or more spellcasting classes, how do I determine my known/prepared spells? 1 answer

I generally understand the multiclassing spell rules, but multiclassing a 1/3rd-caster class with a wizard is making me scratch my head. I know I have 5 spells for EK at level 7, and 2 cantrips, both from the same list. I also have Level 2 spell slots at level 7 on EK, so I know I can cast a level 2 spell as an EK.

However, if I take only 2 levels of Wizard, can I learn any extra level 1 spells? Or am I stuck being unable to prepare level 2 spells I learn as a wizard?

I assume I can’t even choose level 2 spells for my known wizard spells, can I? Because I can’t prepare them. If I had, say, Wizard 3, and thus had the ability to prepare level 2 spells as a wizard, and I didn’t prepare them, could I then cast them unprepared using my Eldritch Knight spell slots?

EK 7 / Wizard 2 should look like: 8 level 1 spells chosen for the wizard levels, 4 level 1 spells and 1 level 2 spell chosen for the EK levels. There’s no way to learn level 2 spells as a wizard until I’ve taken level 3 in wizard; is that correct?

Can I cast unprepared wizard spells using my Eldritch Knight spell slots? Or can I only cast the spells learned specifically from my EK dips without them being prepared?

Can a Simulacrum of a wizard use the wizard’s spellbook?

Suppose a wizard casts Simulacrum on their self, creating a duplicate who has all the same spells prepared and has all the same spell slots (minus the 7th level slot used to cast Simulacrum, of course). Can the duplicate use the wizard’s spellbook to do any of the following?

  1. Prepare new spells after a long rest
  2. Cast spells as rituals
  3. Copy new spells into the book
  4. Copy their currently prepared spells into a new book that is then usable by the original wizard

Which of those, if any, is the duplicate capable of doing? Is there anything the duplicate can’t do with the spellbook that the original wizard can?

Is there a balancing issue giving a Wizard a wand capable of casting Illusory Script once per day?

Wizard expressed a desire for a magical wand that could cast the ritual spell Illusory Script without burning a spell slot/ritual slot. I though about giving a wand that can cast the spell once per day. Seems relatively fair for a magical item but not sure if there are any balance implications.

Multiclassing with Wizard and Sorcerer. Does the Wizard school effects benefit sorcerer spells?

If I’m primarily a sorcerer and multiclass into a wizard of the school Evocation/Admixture, with this effect:

Versatile Evocation (Su): When you cast an evocation spell that does acid, cold, electricity, or fire damage, you may change the damage dealt to one of the other four energy types. This changes the descriptor of the spell to match the new energy type. Any non-damaging effects remain unchanged unless the new energy type invalidates them (an ice storm that deals fire damage might still provide a penalty on Perception checks due to smoke, but it would not create difficult terrain). Such effects are subject to GM discretion. You can use this ability a number of times per day equal to 3 + your Intelligence modifier.

Can I use this effect when casting sorcerer evocation spells to change the damage type?