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How do you calculate the total impedance in parallel AC circuits?

1 Answer

In parallel AC circuits, the total impedance (Z_total) is calculated differently from series AC circuits. In parallel circuits, the reciprocal of the total impedance is equal to the sum of the reciprocals of the individual impedances.

The formula to calculate the total impedance in a parallel AC circuit is:

1/Z_total = 1/Z_1 + 1/Z_2 + 1/Z_3 + ... + 1/Z_n

Where:
Z_total is the total impedance of the parallel circuit.
Z_1, Z_2, Z_3, ... Z_n are the individual impedances of the components connected in parallel.

If you have only two components, the formula simplifies to:

1/Z_total = 1/Z_1 + 1/Z_2

To find Z_total, you need to take the reciprocal of the sum of the reciprocals:

Z_total = 1 / (1/Z_1 + 1/Z_2)

And if you have more than two components, you continue to add their reciprocals and then take the inverse of the sum to find the total impedance.
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