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

Estimate conversion time of counter-controlled a/d converter, Q. An 8-bit A...

Q. An 8-bit A/D converter is driven by a 1-MHz clock. Estimate the maximum conversion time if: (a) It is a counter-controlled A/D converter. (b) It is a successive-approximat

Explain total internal reflection, Explain Total internal reflection? T...

Explain Total internal reflection? The refractive index of a medium is defined as the ratio of velocity of light in vacuum to the velocity of light in that medium n x = C/V

Linear and IC applications, bias compensation techniques for ac and dc char...

bias compensation techniques for ac and dc characteristics

Magnetic Circuits:, A circular ring of magnetic material has a mean length ...

A circular ring of magnetic material has a mean length of 1m and a cross sectional area of .001m^2.A sawcut of 5mm width is made in the ring . calculate the magnetizing current req

Describe abrasive grit size, Describe the effect of following parameters. ...

Describe the effect of following parameters. Abrasive grit size. Amplitude and frequency of vibration.

Electro Chemistry, Construction and working of calomel electrode

Construction and working of calomel electrode

Distribution centre capacity, Discuss the following points with regard to t...

Discuss the following points with regard to the Company selecting Jebel Ali Free Zone as its Middle East base.  (a) How is a company likely to enhance its supply chain by using

Various steps in designing the counter, Design a mod-15 counter. Explain th...

Design a mod-15 counter. Explain the various steps in designing the counter

Averaged power dissipated in the load, (a) Consider the following transmiss...

(a) Consider the following transmission line with the reactance X1 placed across the input. It is being driven with a frequency ω such that the length of the line is λ/4. What v

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