Der Beamer fällt kurz aus, aber nach einer Minute erscheint die nächste Folie wieder.

In German, der Beamer usually means a video projector / data projector. It is a pseudo-English word: it sounds English, but native English speakers normally do not use beamer for this meaning.

So in this sentence:

• Der Beamer = the projector

A more international or formal alternative is der Projektor, but Beamer is extremely common in everyday German.

Because the verb is ausfallen, which is a separable verb.

Its basic form is:

• ausfallen = to fail / to stop working / to be cancelled, depending on context

In a normal main clause, the conjugated part goes in the usual verb position, and the prefix moves to the end:

• Der Beamer fällt aus.

So in your sentence:

• fällt = conjugated verb part
• aus = separable prefix

This is very common in German:

• Ich stehe um 7 Uhr auf.
• Der Computer fährt herunter.
• Der Beamer fällt aus.

Here, ausfallen means that the projector stops working temporarily or cuts out.

The verb ausfallen can have different meanings depending on context, for example:

• Der Unterricht fällt aus. = The lesson is cancelled.
• Der Strom fällt aus. = The power goes out.
• Der Beamer fällt aus. = The projector stops working / fails.

So the meaning is not always the same in English, but the general idea is that something fails, does not happen, or stops functioning.

Here kurz is an adverb meaning briefly or for a short time.

• Der Beamer fällt kurz aus = The projector briefly stops working

German adverbs often appear in the middle of the clause, especially near the verb. In this sentence, kurz describes how long the failure lasts.

You could think of it as:

• kurz = briefly

This is because German main clauses follow the verb-second rule.

In the second clause:

• aber nach einer Minute erscheint die nächste Folie wieder

The first position is taken by nach einer Minute, so the verb must come next:

1. nach einer Minute
2. erscheint
3. die nächste Folie
4. wieder

If the subject came first, you would get:

• Aber die nächste Folie erscheint nach einer Minute wieder.

That is also correct. German is flexible about what comes first, but the finite verb still stays in second position.

Because the preposition nach takes the dative case here.

• die Minute = nominative
• eine Minute = accusative
• einer Minute = dative

So:

• nach einer Minute = after one minute

This is a very common pattern:

• nach dem Essen = after the meal
• nach einer Pause = after a break
• nach einer Minute = after a minute

In this clause, die nächste Folie is the thing that appears, so it is the subject.

The verb erscheinen usually works like to appear in English:

• Die Folie erscheint. = The slide appears.

There is no direct object here. The slide is not receiving an action; it is the thing doing the appearing.

That is why die nächste Folie is nominative.

A learner might expect something more like zeigt die nächste Folie, but that would be a different structure and usually would need a subject such as der Beamer or das Programm.

Yes. Here erscheint means appears or comes back onto the screen.

The infinitive is erscheinen.

In this context:

• die nächste Folie erscheint wieder = the next slide appears again / comes back

German often uses erscheinen for things that show up on a screen, in print, or in view.

Examples:

• Der Text erscheint auf dem Bildschirm. = The text appears on the screen.
• Eine Fehlermeldung erscheint. = An error message appears.

Here wieder means again, but in natural English the best translation may sometimes be back.

So:

• erscheint ... wieder = appears again / comes back

In this sentence, the idea is that the slide had disappeared because the projector failed, and then it is visible once more.

That is why English might translate it naturally as either:

• the next slide appears again
• the next slide comes back

Yes, absolutely.

• der Beamer = very common everyday German for projector
• der Projektor = also correct, often a bit more formal or technical

So both are possible:

• Der Beamer fällt kurz aus.
• Der Projektor fällt kurz aus.

If you are speaking everyday German, Beamer is very natural.

Aber means but and connects the two main clauses.

Important point: aber does not itself force inversion in the way some learners expect. The inversion happens because nach einer Minute is placed first in the second clause.

Compare:

• ..., aber die nächste Folie erscheint nach einer Minute wieder.
• ..., aber nach einer Minute erscheint die nächste Folie wieder.

Both are correct.

So:

• aber = but
• nach einer Minute in first position = causes the verb erscheint to come before the subject

Because both subjects are singular.

• der Beamer = singular
• die nächste Folie = singular

So the verbs must be in the 3rd person singular:

• fallen → fällt
• erscheinen → erscheint

Compare:

• Der Beamer fällt aus.
• Die Beamer fallen aus.

and

• Die nächste Folie erscheint.
• Die nächsten Folien erscheinen.