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Answer :
Final answer:
Three 6-ohm resistors in parallel to a 9-V battery use more power (40.5 watts) compared to the same resistors connected in series (4.5 watts), due to the lower total resistance in the parallel arrangement.a) three 6ohm resistors connected in parallel to a 9-V battery
Explanation:
The question involves finding out which configuration of resistors uses more power when connected to a 9-V battery: either three 6-ohm resistors in parallel or the same resistors in series. In the parallel case, the total resistance is 2 ohms (since 1/6 + 1/6 + 1/6 = 3/6, and the reciprocal gives 6/3 = 2 ohms), and using the formula P = V^2/R, the power consumed is 40.5 watts (9^2/2).
In the series case, the total resistance is 18 ohms (since 6 + 6 + 6 = 18 ohms), and the power consumed is 4.5 watts (9^2/18). Therefore, the parallel configuration uses more power than the series configuration.
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