Question

If an amplifier is rated to deliver 125 watts to one 12 ohm speaker, but instead, two 16 ohm speakers are connected to the amplifier in parallel, how many watts will the amplifier now theoretically deliver to EACH speaker? Round your answer to the nearest watt.

Answer 1

The amplifier will theoretically deliver approximately 140.63 watts to each speaker.

Step-by-step explanation:

To determine the number of watts the amplifier will deliver to each speaker, we need to use the formula P = V^2 / R, where P is the power, V is the voltage, and R is the resistance.

In this case, the amplifier is rated to deliver 125 watts to one 12 ohm speaker. The voltage can be calculated using Ohm's law, V = IR, where I is the current in amps. So, V = 125 W * 12 Ω = 1500 V.

Now, if two 16 ohm speakers are connected in parallel, the total resistance will be (1/16 + 1/16)^-1 = 8 ohms. Plugging this value into the formula P = V^2 / R, we get P = 1500 V^2 / 8 Ω ≈ 281.25 watts. Since there are two speakers, the amplifier will theoretically deliver approximately 140.63 watts to each speaker.