Determine the self inductance of the two coils, Electrical Engineering

Determine the self inductance of the two coils:

Two coils with a coefficient of coupling of 0.6 between them are connected in series so as to magnetize (i) in the same direction, and (ii) in the opposite direction. The corresponding values of equivalent inductance are achieved as 1.8 H for (i) and 0.8 H for (ii). Determine the self inductance of the two coils and the mutual inductance between them.

Solution

Coefficient of coupling k = 0.6

(a)             For magnetization in the same direction,

 Equivalent inductance L = L1+ L2 + 2M

or,        1.8 = L1+L2 + 2M        

(b)             For magnetization in the opposite direction,

 Equivalent inductance L = L1 + L2 - 2M

or,        0.8 = L1 + L2 - 2M        

Subtracting Eq. (43) from Eq. (42), we get

                4M = 1

or,        M = 0.25 H

Adding Eq. (42) and Eq. (43), we obtain

2 (L1 + L2) = 2.6

or,        L1 + L2 = 1.3     . . . (2.44)

We know,

786_Determine the self inductance of the two coils.png

∴          L1 L2  =M2 / k2 = (0.25)2 / (0.6)2 = 0.1736                     

Now  (L1 - L2)2 = (L1 + L2)2 - 4 L1 L2 = (1.3) 2 - 4 × 0.1736 = 0.9956

 

∴          L1  - L2  = 0.9978              

Adding Eq. (44) and Eq. (46), we obtain

∴ L1 = 1.1489 H

L2  = 1.3 - L1  = 1.3 - 1.1489 = 0.1511 H

Posted Date: 2/4/2013 6:27:24 AM | Location : United States







Related Discussions:- Determine the self inductance of the two coils, Assignment Help, Ask Question on Determine the self inductance of the two coils, Get Answer, Expert's Help, Determine the self inductance of the two coils Discussions

Write discussion on Determine the self inductance of the two coils
Your posts are moderated
Related Questions
Qestions: a)  Draw the approximate equivalent circuit for a single phase power transformer. Identify all circuit elements and briefly explain their physical relevance. b)  S

are you able to help with power system

Example of binary subtraction of Negative number Case 2.   Negative number is more than  the positive number ( i e, answer  is negative)  Example : Subtract 92 10 ( 101

what is the disadvantages of superposition theorem?

Q. What do you mean by Oscilloscope? To measure time-varying signals (voltages and currents), an instrument known as an oscilloscope is employed. It can be used as a practical

Q. What do you understand by major systems of a telecommunication network? Explain in detail the subscriber loop systems. Ans: Major systems of any telecommunication netw

Explain chemical vapour deposition method for the preparation of nanomaterial and its properties

Ask question introduction of co2 single stroke positive displacement pump using cam and follow system to transfer co2 into small cylinders

Q. A 75-kVA, 230/115-V, 60-Hz transformer was tested with these results: • Open-circuit test: 115 V, 16.3 A, 750 W • Short-circuit test: 9.5 V, 326 A, 1200 W Determine:

Determine the total active power: Circuit is introduced in the Face 1. It is about a single-wires face for a three-phase system. The voltage of the AC source is of 69kV. The s