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6. You take two resistors of resistance 2R and 3R and connect them in parallel in an electric circuit. Calculate the ratio of the electrical power consumed by 2R and 3R?

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The ratio of the electrical power consumed by resistors 2R and 3R when connected in parallel is given by the inverse ratio of their resistances. So, the ratio of power consumed by 2R to 3R is (3R)^2 : (2R)^2 = 9R^2 : 4R^2 = 9 : 4.
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