Constructing experiment to prove P=IV

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To prove that P=IV, the experiment should focus on demonstrating maximum power output when internal resistance (r) is zero and total resistance equals the normal resistance (R). A practical approach involves using a 12-volt car battery connected to a 1-ohm resistor submerged in water to measure the heat generated. By monitoring the temperature change in the water, one can calculate power using the formula P=IV or P=V^2/R, which should yield approximately 144 watts. The internal resistance of the battery contributes minimally to power loss, confirming the relationship. This setup effectively illustrates the principles of electrical power in a practical context.
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Not sure if the title is clear enough, but basically I've got a practical in a couple of days time and I have to construct an experiment to prove that P=IV by proving that P is greatest when the value of r (internal resistance) is zero and total resistance is equal to R (normal resistance).

I'm quite confused at what this is actually asking me to to do. Any ideas.

thanks
 
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Is this a real project or a virtual project? One accurate way to measure power is to heat a resistor in a calorimeter, and measure the energy transferred to a cup of water. Suppose you had a 12-volt car battery with an internal resistance with about r = 1/100 ohm. Get a R=1 ohm resistor and put it in about a cup (about 225 cc) of water, and connect it to the battery. Get a thermometer and measure the rate at which the water heats up. P = I*V = V^2/R = 144 watts. Only about 1% of the battery power is lost in the internal resistance r.
 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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