A circuit consists of an AC audio amplifier,a resistor,and a speaker,all in series.The amplifier puts out an alternating voltage of 16.0 V (rms),the resistance of the resistor is 10.0 Ω,and the speaker has a resistance of 11.9 Ω.What is the time-averaged power delivered to the speaker?
A)21.5 W
B)30.5 W
C)6.35 W
D)8.69 W

Question

​A circuit consists of an AC audio amplifier,a resistor,and a speaker,all in series.The amplifier puts out an alternating voltage of 16.0 V (rms),the resistance of the resistor is 10.0 Ω,and the speaker has a resistance of 11.9 Ω.What is the time-averaged power delivered to the speaker?
A)​21.5 W
B)​30.5 W
C)​6.35 W
D)​8.69 W

Quizplus · Accepted Answer

The total resistance in the circuit is the sum of the resistor and the speaker, which is 21.9 Ω. The current in the circuit is given by I = V/R = 16.0 V / 21.9 Ω = 0.73 A (rms). The power delivered to the speaker is P = I²R = (0.73 A)² * 11.9 Ω = 6.35 W.

​A Circuit Consists of an AC Audio Amplifier,a Resistor,and a Speaker,all

A Circuit Consists of an AC Audio Amplifier,a Resistor,and a Speaker,all