Amplifier Ohms

Amplifier Ohms
An Amplifier is putting out 10 volts into a 4 ohms load. What is the output of the amp?

I’m a college student in the Audio Production program. I am stuck on this question…its a math question…I need the equation and possibly an explanation so I understand how to set it up and answer the question…we have to do the math to get the credit…help is super appreciated…thanks

I am horrible at math…

There are several ways to measure power. By definition,

P = I V = V^2 / R = I^2 R

Where I is current in amps, V is voltage, and R is resistance. Pick the formula that uses the terms you have available. When you see the term “RMS” applied, it means the root-mean-square, or average, value of an AC quantity, and you can consider it equivalent to DC. Otherwise, you need to convert the quantity before using these formulas. For example, a 1 V peak sinewave is only 0.707 V RMS, so you would multiply by 0.707 or 0.707^2 before calculating power.

In your example, P = V^2 / R or 25 W.

Things get a little confusing in the audio world, because you will undoubtedly see the terms dBu and dBV come up in the near future. These are respectively the ratio of the measured signal to 1 milliwatt into 600 ohms, or 1 volt into any impedance, and are RMS quantities. You can’t convert the above into dBu directly, because the impedance is not 600 ohms, but ten volts is ten times 1 v, making it 10 dBV.


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