Question

An average power output of 150 W is sent into a 3.0-Ω loudspeaker. What is the current flowing through the loudspeaker?

a) 5 A
b) 10 A
c) 15 A
d) 20 A

Answer 1

The current flowing through a 3.0-Ω loudspeaker with an average power output of 150 W is 7.07 A, which does not match any of the provided multiple-choice options.

Step-by-step explanation:

To find out the current flowing through the loudspeaker with an average power output of 150 W and a resistance of 3.0 Ω, we use the formula for electric power consumption P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts. We also know the relationship between voltage. resistance and current, given by Ohm's Law, V = IR. Therefore, you can rearrange the power formula to solve for current by substituting V from Ohm's Law to get P = I(IR) or P = I2R.

To solve for I, rearrange the equation to I = √(P/R). Substituting the given values, we get I = √(150 W / 3.0 Ω) which equals √(50) or approximately 7.07 A. None of the answers provided in the multiple-choice section (5 A, 10 A, 15 A, 20 A) exactly match this calculation, so none of the options are correct.