Question 83578
Given:
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{{{V = sqrt(P*R)}}}
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Also given that the voltage (V) is 120 volts, and the Power (P) is 1500 watts.
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Substitute these values into the equation to get:
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{{{120 = sqrt(1500*R)}}}
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Square both sides of this equation ...
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{{{120^2 = 1500*R}}}
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Squaring the 120 results in 14400. Substituting this results in:
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{{{14400 = 1500*R}}}
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To solve for R divide both sides of this equation by the multiplier of R which is 1500:
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{{{14400/1500 = R}}}
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The division on the left side results in:
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{{{9.6 = R}}}
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The answer is that the resistance R is equal to 9.6 ohms.
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Hope this helps you to understand the math manipulations that can be used to solve this
problem.