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A new pair of speakers could be a great way to upgrade your music listening experience, and some enthusiasts prefer old-school passive gear's audio quality and future customizability. However, a passive setup is more complex than an active configuration because your chain (audio signal path) also requires a power amp. This requirement means you'll have to match these components to avoid damaging the speaker.

If the amplifier is too powerful for the speakers, a simple moment of carelessness (going aggressive on the volume knob) can cause damage. Though you could technically do with an overpowered amplifier if you're careful, choosing a weaker amp can be much more destructive in a scenario known as clipping. An underpowered amp is more likely to clip as it struggles to drive the speakers, burning out the loudspeaker's high-frequency driver. Naturally, this may sound terrifying, but if you keep your volume within reason (i.e., not running it at max capacity) and account for speaker sensitivity, you'll likely be fine.

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The optimal speaker-amp pairing is all about balance. Any mismatch can generate heat that, over time, will damage components such as the voice coil. For example, driving smaller speakers with an amplifier designed to deliver stadium-level power is overkill. On the other hand, an underpowered amp will continuously struggle to deliver the necessary power. This can lead to clipping, which can generate heat and put undue stress on the speakers' components.

So, what's the best pairing? Many audiophiles and audio engineers recommend that the amplifier should be between 1.2 and 2 times more powerful than the speakers. It's a rough guideline, but following this rule will provide your sound system more headroom to handle volume peaks. 

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There are additional factors that can muddy up home audio setups (it's easy to see why active-power bookshelf speakers are getting so popular). Along with just the power rating, you should also consider the speaker sensitivity. To keep it light on the physics, loudspeakers can have different sensitivity ratings, with ones near 100 dB considered high-sensitivity, and a speaker rated at 85 dB falling toward the lower end of the spectrum. The latter will actually need more power to achieve the same volume as the former.  

So, how does this all come together? Before biting the bullet on a new set of speakers, consider your room, personal needs, and whether your current setup is sufficient. A speaker upgrade can be a waste of money if you're putting large 600W monstrosities in a small office or expecting powerful bass from tiny 30W bookshelf monitors. The context absolutely matters. Instead of building an arena rock touring rig in a small living room, solid high-sensitivity speakers will provide an enjoyable experience even if the amp you connect them to is underpowered.

Ultimately, don't overthink it too much. If your amplifier is too powerful for your speakers, you'll probably be fine unless you push it to its capacity. Similarly, an underpowered amp can serve you well if it's not driven too hard.