Golgappa.net | Golgappa.org | BagIndia.net | BodyIndia.Com | CabIndia.net | CarsBikes.net | CarsBikes.org | CashIndia.net | ConsumerIndia.net | CookingIndia.net | DataIndia.net | DealIndia.net | EmailIndia.net | FirstTablet.com | FirstTourist.com | ForsaleIndia.net | IndiaBody.Com | IndiaCab.net | IndiaCash.net | IndiaModel.net | KidForum.net | OfficeIndia.net | PaysIndia.com | RestaurantIndia.net | RestaurantsIndia.net | SaleForum.net | SellForum.net | SoldIndia.com | StarIndia.net | TomatoCab.com | TomatoCabs.com | TownIndia.com
Interested to Buy Any Domain ? << Click Here >> for more details...

show that power dissipated by a pure inductor exited by a
sinusoidal voltage source v = vm sin wt is zero

Answer Posted / sarmadahmed

Let Vmcos(wt+X) be the voltage and Imcos(wt+Y) be the current through the inductor.
Now the power is given by
P=V*I=VmImcos(wt+X)cos(wt+Y)
By using a trigonometric identity:
P= 0.5 * VmIm * cos(X-Y) + 0.5 * VmIm * cos(2wt+X+Y)
This expression has 2 terms which both must be zero.
The first term is a constant (independent of time) but notice that in an inductor Voltage leads Current by 90 degrees so X-Y = 90 and cos(90) = 0 so first term is zero.
Now for average power integrate the above expression for a cycle and divide it by time period, since integral of every sinusoid for a complete cycle is zero the next term will essentially be zero too.

So P = 0 for an inductor.

Email me if you still have any doubt or query.
sarmadahmed@live.com

Is This Answer Correct ?    3 Yes 0 No



Post New Answer       View All Answers


Please Help Members By Posting Answers For Below Questions

what is cathodic protection and why it use in industries?

2347


stand by earth fault protection (51G) for transformer rating 2000 kVA,Dyn11,33/0.400 V. LV NCT ratio and necessary resistor and metrosil values how to calculate

2868


Any Electrical Engineering jobs?Please refer for interviews. Thank you

1974


WHY L-G FAULT IS MORE SEVERE IN TERMS OF RRRV?

3243


hi....I am from india..i have completed my engineering in electrical and electronics field with 58.4% and my IELTS score is 5.5 bands....Recently i received my I-20 in computer and information science from Troy university in Alabama.On 18th i have a visa interview can u please tell me what type of questions i have to answer ??????

1891


along with technical test papers

1663


why we cannot protect 100% winding of an alternator by using differential protection?

2302


what is the mechanical safety of DG ?

2256


how we can decide that what value of ht line will come to any commercial building? (ans except According to the building load)

1715


how to get electrical supervisor competency certificate in gujarat. i did 3 year diploma in electrical

2633


Is the installation of the filter cloths necessary before spreading the gravels at the transformer yards?

1986


mostly the questions were from machines... d.c. machines, transformer, synchronous and induction all theory paper........ few from power system... but the level of paper was easy.....

2025


What are the three constants associated with a steady state error?

1274


CAN U PLEASE TELL ME SOME G.D TOPICS FOR APGENCO INTERVIEW&G.D

2462


what is the use of surge suppresser in 33 KV incoming panel. where it must be installed,inseries with incoming cable surge suppresser must be at incoming of the breaker are outgoing of the breaker

5482