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geft said:Referring to the attached image, find the equivalent inductance.
L1 = 2 + 2 - 2 = 2H
L2 = 1 + 2 - 2 = 1H
L3 = 3 - 2 - 2 = -1H
Leq = 2 + 1 - 1 = 2H
Just checking to see if I got the concept right.
gneill said:So how were the 2H mutual inductances with the 1H coil managed?
berkeman said:Are the dots meant to imply that the coils are all wound on the same core? If so, I get a different answer from you.
geft said:The dots indicate the 'polarity' of the inductors (i.e. the way they are wound). Could you please elaborate?
rude man said:My view is that the instructor (if so) was an idiot for giving students a scenario violating basic physical laws.
The concept of equivalent inductance refers to the total inductance of a circuit when multiple inductors are connected in series or parallel. It is a simplified representation of the individual inductances, and is used to analyze and design circuits more easily.
To calculate equivalent inductance for inductors in series, you can simply add the individual inductances together. This can be represented by the formula: Leq = L1 + L2 + L3 + ... + Ln, where Leq is the equivalent inductance and L1, L2, L3, etc. are the individual inductances.
When inductors are connected in parallel, the equivalent inductance decreases. This is because the total current is divided among the inductors, resulting in a lower overall inductance. The formula for calculating equivalent inductance for inductors in parallel is: 1/Leq = 1/L1 + 1/L2 + 1/L3 + ... + 1/Ln.
The placement of inductors does not affect the equivalent inductance in a series circuit. However, in a parallel circuit, the equivalent inductance will be different depending on whether the inductors are connected in a "side-by-side" or "end-to-end" configuration. In a "side-by-side" configuration, the equivalent inductance will be lower compared to an "end-to-end" configuration.
No, it is not possible for the equivalent inductance to be negative. Inductance is a physical quantity that represents the ability of an inductor to store energy in the form of a magnetic field, and it cannot have a negative value. If the calculated equivalent inductance is negative, it is likely that an error was made in the calculations.