Ok, as a question, what make and model? Many laptops employ "smart-step" or similar technology, allowing them to profile the CPU and bus speed depending on the power source etc. This is normally set at fairly sane settings, but of course they can become messed up, meaning that less resources are allocated when on mains power.
There might be some bios settings involved as well - but let's start with the simple stuff!

Do you have all the correct drivers installed for the laptop? Might be worth visiting the manufacturers website to see if there are any updates.
Jay
FOG Admin & IT Techincal Consultant

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