An increase of how many dB for voltage will result in a tenfold increase of the original dB value?

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In the context of decibels (dB), it's important to understand how the dB scale relates to power and voltage. The decibel scale is logarithmic, meaning that a certain increase in dB translates to a multiplicative change in the corresponding quantity, either in power or voltage.

For power, an increase of 10 dB corresponds to a tenfold increase in power. However, when dealing with voltage, the relationship is different. Since power is proportional to the square of voltage (P ∝ V²), an increase in voltage must be calculated differently. Specifically, if we want to achieve a tenfold increase in power through voltage, we must increase the voltage by 20 dB.

This means that a voltage increase of 20 dB results in the power increasing by a factor of ten, which aligns with the requirement stated in the question. Thus, when we talk about an increase of 20 dB for voltage, it reflects a tenfold increase in the original power level, making it the correct answer.

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