Question

If an amplifier is rated to deliver 25 watts to one 4 ohm speaker, but instead, two 12 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

When two 12 ohm speakers are connected in parallel to an amplifier rated for 25 watts at 4 ohms, each speaker will theoretically receive approximately 17 watts.

Step-by-step explanation:

To calculate the power delivered to each speaker, we first need to find the total resistance when two 12 ohm speakers are connected in parallel. The formula for calculating the total resistance in a parallel circuit is:

1/R(total) = 1/R(1) + 1/R(2)

Substituting the values, we get:
1/R(total) = 1/12 + 1/12
1/R(total) = 1/6
R(total) = 6 ohms

Now, we can use the power formula P = V²/R to find the power delivered to each speaker:

P = (25W) * (4 ohms) / (6 ohms)
P = 16.67 watts

Therefore, the amplifier will theoretically deliver approximately 17 watts to each speaker.