Compute the mutual inductance, Electrical Engineering

Assignment Help:

Compute the mutual inductance:

A long single layer solenoid has an effective diameter of 10 cm and it is wound with 1000 turns/m. There is a small concentrated coil with its plane lying in the centre cross-sectional plane of the solenoid. Compute the mutual inductance among two coils if the concentrated coil has 100 turns and an effective diameter of 4 cm.

Solution

Figure  is illustrated as follows :

2209_Compute the mutual inductance.png

Figure

Let current I1 is flowing through the solenoid. Then the flux density B is given by  

= μ 1000 I(wb/ m2)

So the flux linked with concentrated coil:

φ2  = BA2

The cross-sectional area of concentrated coil is following:

A2 = π r 2   =π (4 × 10-2 /2)2

= 12.568 × 10- 4 m2

∴          Flux φ2 = μ0 1.256 I1 wb

Mutual inductance between coil and solenoid

M = N2 φ2 / I1

= 100 × μ0 × 1.256 I1  / I1= 125.6 μo  Henry


Related Discussions:- Compute the mutual inductance

Digital signal processing, what can I do to sharpen the roll off and flatte...

what can I do to sharpen the roll off and flatten the passband of a finite impulse response filter

Water technology, #question. . =calculate the calcium carbonate equivalent ...

#question. . =calculate the calcium carbonate equivalent hardness of calcium sulphate of 5gms present in one litre

Reverse bias, Reverse bias Reverse biased generally refers to how a di...

Reverse bias Reverse biased generally refers to how a diode is employed in a circuit. If a diode is reverse biased, the voltage at the cathode is gets higher than that at the

Common source amplifier, Common Source Amplifier A common-source ampl...

Common Source Amplifier A common-source amplifier is one of three basic single-stage field-effect transistor abbreviated as FET amplifier topologies, commonly used as a volta

Introduction to power systems, Q. Introduction to power systems? Thomas...

Q. Introduction to power systems? Thomas A. Edison's work in 1878 on the electric light led to the concept of a centrally located power station with distributed electric power

Help , What''s hysteresis ?

What''s hysteresis ?

On a scale of one to ten, TRAPS: Give a perfect 10, and you'll seem too sim...

TRAPS: Give a perfect 10, and you'll seem too simple to please. Give anything less than a perfect 10, and he could press you as to where you're being significant, and that road lea

Resistors, Difference between linear and non-linear resistors

Difference between linear and non-linear resistors

Rankine cycle and modified rankine cycle, Discuss in detail the several ene...

Discuss in detail the several energy resources and their availability. How does a Rankine cycle differ from a modified Rankine cycle? Write down the mathematical expression of m

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd