0
$\begingroup$

I've seen plenty of examples on how to calculate reactance with a combination of a coil, capacitor and ohmic resistor. However, I'm not sure how to find the overall reactance in a circuit that would look the following. We have AC and 3 coils where one coil is parallel to a series of the two other coils. Now I have 2 ideas.

  1. Does $ \frac{1}{X}= \frac{1}{X_1} + \frac{1}{X_2+X_3}$ for the parallel connection work?

  2. The other one would be to calculate the overall inductance of the coils, $\frac{1}{L}= \frac{1}{L_1} + \frac{1}{L_2+L_3}$ and then from there use the usual $X=2\pi fL$. Many thanks in advance

$\endgroup$

1 Answer 1

0
$\begingroup$

Reactances in series add like resistors in series, in parallel they combine like resistors in parallel.

Series: $X_{equiv} = X_1 + X_2$

Parallel: $X_{equiv} = \frac{1}{\frac{1}{X_1}+\frac{1}{X_2}}$

If inductive reactance, then it has a j operator to indicate its impedance at the particular steady-state frequency has angle of 90 degrees. If capacitive reactance it has a -j operator (-90 degrees).

Combine the two that are in series first, then you will be left with 2 in parallel that you can combine.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.