Calculate the diameter of copper wire, Electrical Engineering

Assignment Help:

Calculate the diameter of copper wire of length 100 metres used as winding material in a transformer such that the resistance of the whole winding is 2 ohms. Calculate the diameter of wire if aluminium is to be used for the above winding, resistance remaining the same. Given the resistivity of Cu are 1.72 × 10-8 ohm-metres and of AI are 2.8 × 10-8ohm-metres.

Ans:

L = 100 meter

R = 2 ?

ρcu = 1.72 x 10-8 ? -meter

R = ρ (l/A)

= 1.72 x 10-8 x 100/A = 2

A = 1.72 x 10-8 x 100/2

= 0.86 x10-6

πr2 = 0.86 x10-6

r2 = 0.86 x10-6 / π

= 0.274 x 10-6

r = 0.523 x 10-3

Diameter = 1.047 x 10-3 meter

For Aluminium

ρAl = 2.8 x 10-8 ? -meter

R = ρ (l/A)

= 2.8 x 10-8 x 100/A = 2

A = 2.8 x 10-8 x 100/2

= 1.4 x10-6

πr2 = 1.4 x10-6

r2 = 1.4x10-6 / π

= 0.446 x 10-6

r = 0.667 x 10-3

Diameter = 1.335 x 10-3 meter


Related Discussions:- Calculate the diameter of copper wire

What is UNIVERSAL SERIAL BUS, What is USB? USB: The USB (UNIVERSAL SERI...

What is USB? USB: The USB (UNIVERSAL SERIAL BUS) is intended to join peripheral devices as keyboards, modems, a mouse and sound cards to the microprocessor by a serial data pat

Efficiency Equations for AC Generators., Most ac generators used in Power S...

Most ac generators used in Power Stations are of the " Flux Cutting " types. Their effiencies range from less than 33% to slightly more than 60%. In their efficiency equations, the

What are multistageand single stage networks, Q. What are multistageand sin...

Q. What are multistageand single stage networks? Compare strengths and weaknesses of each. OR List the key difference in single stage, two stage and three stage Networks. A

Operation of zener diode, Operation of Zener Diode The Zener diode's o...

Operation of Zener Diode The Zener diode's operation depends upon the heavy doping of its p-n junction permitting electrons to tunnel from the valence band of the p-type mater

Synchronous and asynchronous serial communication, Differentiate between sy...

Differentiate between synchronous and asynchronous types of serial communication.   Serial data communication uses two fundamental types as, synchronous and asynchronous. With

Measurement, Why delay circuit used in CRO?

Why delay circuit used in CRO?

Seal management - meter field testing, Seal Management - Meter Field Testin...

Seal Management - Meter Field Testing For an effective seal management system it is necessary that: i) The  seals  used  are  tamper  proof,  that is they  cannot  be  remo

The parallel resistance rule, The Parallel Resistance rule ...

The Parallel Resistance rule Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

Define the term real time clock, Define the term real time clock. A re...

Define the term real time clock. A real-time clock maintains the time in real time, which is, in hours and minutes. For the real-time clock the software contains an interrupt

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