SOLUTION: the voltage in a circuit is given by the equation V= square root of PR, where P is the power in the watts and R is the resistance in ohms, if the voltage in a circuit is 120 volts

Algebra ->  Expressions-with-variables -> SOLUTION: the voltage in a circuit is given by the equation V= square root of PR, where P is the power in the watts and R is the resistance in ohms, if the voltage in a circuit is 120 volts       Log On


   

Question 83578: the voltage in a circuit is given by the equation V= square root of PR, where P is the power in the watts and R is the resistance in ohms, if the voltage in a circuit is 120 volts and the circuit produces 1500 watts of power, what is the resistance in the circuit?
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
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V+=+sqrt%28P%2AR%29
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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%281500%2AR%29
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Square both sides of this equation ...
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120%5E2+=+1500%2AR
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Squaring the 120 results in 14400. Substituting this results in:
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14400+=+1500%2AR
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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%2F1500+=+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.