|
AC Components and Circuits
Inductance
Section 1-5 Total Inductance
Inductors in Series and Parallel The total inductance of series and parallel inductor circuits is found by using the same form of equations you've been using for series and parallel resistor circuits. | 
Inductors in Series LT = L1 + L2 + L3 | 
Inductors in Parallel
| LT = | 1 | | 1 | + | 1 | + | 1 | | | | L1 | L2 | L3 | | | | Equations Total Inductance of a Series Circuit LT = L1 + L2 + L3 + ... + LnTotal Inductance of a Parallel Circuit | LT = | 1 | | 1 | + | 1 | + | 1 | + ... + | 1 | | L1 | L2 | L3 | Ln | Where - LT = Total inductance of the series circuit
- L1, L2, L3, Ln = Inductance of all the individual resistors
| The product-over-sum technique that is commonly used for pairs of parallel resistors works equally well for pairs of inductors. 
The shorthand notation for this equation is also to the resistance counterpart: LT = L1 || L2 | Example Problem Use the product-over-sum equation to find the total inductance of a parallel circuit comprised of inductors of 12mH and 22mH.  Procedure 1. Cite the appropriate equation: 2. Substitute the given values and do the math | LT = | (12 x 10-3)(22 x 10-3) | = 7.76 x 10-3 | | (12 x 10-3) + (22 x 10-3 | Solution LT = 7.6 mH | Examples Endless Examples & Exercises Given the values for inductors in series or parallel circuits, calculate the total capacitance. Work these exercises until you are confident you have mastered the procedures. Note: The answers shown in these example often do not appear in normalized forms. For example, an answer appears as 1200mH when it should be 1.2H. | | Combination Inductor Circuits 
Inductors in Series-Parallel
CombinationLT = L1 + (L2 || L3) | 
Inductors in Parallel-Series
CombinationLT = L1 || (L2 + L3) | The procedures for calculating the total inductance of combination inductor circuits is identical to those for combination resistor circuits. So a few exercises should be sufficient for mastering this particular topic. Endless Examples & Exercises | Given the values of the inductors in a combination circuit, calculate the total inductance. Work these examples until you are certain you understand the procedures. | |
|
