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Voltage, otherwise known as electrical potential difference (denoted ∆V and measured in volts) is the difference in electric potential between two points (adapted from Wikipedia). Voltage can be constant (DC) or varying (AC).

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Does battery voltage actually get lower when connected to a load, or does it just appear to ...

A typical battery (i. e. non-ideal voltage source) will look like this: What you are measuring is voltage between terminals A and B. … So, the voltage drop is real — the measured voltage is what your load gets. The more current it draws from the battery, the lower is voltage it gets. …
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