When calculating impedance in a parallel circuit with two 8-ohm and two 16-ohm loudspeakers, what is the total impedance?

When calculating impedance in a parallel circuit with two 8-ohm and two 16-ohm loudspeakers, what is the total impedance?

• A. 12 ohms
• B. 2 ohms
• C. 2.7 ohms
• D. 24 ohms

Answer: (D)

To find the total impedance of loudspeakers connected in parallel, it's essential to use the formula for parallel resistors. When two or more impedances (or resistances) are in parallel, their total impedance can be calculated using the formula: \[ \frac{1}{Z_{total}} = \frac{1}{Z_1} + \frac{1}{Z_2} + \frac{1}{Z_3} + \ldots \] In this case, you have two 8-ohm loudspeakers and two 16-ohm loudspeakers connected in parallel. First, calculate the total impedance for the 8-ohm speakers: \[ \frac{1}{Z_{8}} = \frac{1}{8} + \frac{1}{8} = \frac{2}{8} = \frac{1}{4} \] Thus, \[ Z_{8} = 4 \, \text{ohms} \] Next, calculate the total impedance for the 16-ohm speakers in a similar way: \[ \frac{1}{Z_{16}} = \frac{1}{16} + \frac{1}{16} =

To find the total impedance of loudspeakers connected in parallel, it's essential to use the formula for parallel resistors. When two or more impedances (or resistances) are in parallel, their total impedance can be calculated using the formula:

[

\frac{1}{Z_{total}} = \frac{1}{Z_1} + \frac{1}{Z_2} + \frac{1}{Z_3} + \ldots

]

In this case, you have two 8-ohm loudspeakers and two 16-ohm loudspeakers connected in parallel. First, calculate the total impedance for the 8-ohm speakers:

[

\frac{1}{Z_{8}} = \frac{1}{8} + \frac{1}{8} = \frac{2}{8} = \frac{1}{4}

]

Thus,

[

Z_{8} = 4 , \text{ohms}

]

Next, calculate the total impedance for the 16-ohm speakers in a similar way:

[

\frac{1}{Z_{16}} = \frac{1}{16} + \frac{1}{16} =