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
- 1 Answers
- 4998 Views
- I also Faced
- E-Mail Answers
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
How to calculate cable size in HT AND LT
Batteries. What is the difference between Lead and Nickel batteries ?
How many types of protection relays are there based on the characteristic?
IN SINGLE PH TRANSFORMER IF LEKAGE IMPEDANCE DROP IS NEGLECTED ,THE FLUX IN THE MAGNETIC CORE and the lekage flux linking a winding are a)proportional to the applied v to the winding i respectively.
give me atleast four differences between circuit and network
What is mean by hot and cold loop testing?
Why arc quenching is used in Diode ?
what is automatic voltage regulator?we can control the vlotage by using fuzzy controller in matlab?why we go for fuzzy?
Hi all I had applied for the RRB test in the ELECRICAL category. I would be pleased if any of you can sent me previous year question papers. Please forward the question papers to varshashahi@yahoo.com Thanks and regards Varsha
what is the grounding Calculation formula? spouse i want to provide grounding to 3phase 18kw motor or i want to provide ground to 3phase 10kva dry type transformere or you give me any exemple...... Thanks.
How stabilizer works??
If one tertiary phase i.e. R,Y or B is earthed of a loaded type tertiary delta connected (Without load)of a power auto transformer, what is its advantage/disadvantage?
why does make gain margin and phase margin on same plot.?
Dg pf .71 i am improve pf 0.80 what capacitor connected in dg how?
How to calculate main incomer rating of APFC Panel ? Let's say i want to find main incomer for 11kV, 1000kVAR Panel.
