Primary coil of an ideal transformer. I need an equation.

  • Thread starter Thread starter Sarak
  • Start date Start date
  • Tags Tags
    Coil Transformer
Click For Summary
SUMMARY

The primary coil of an ideal transformer connected to a 120-V source draws 1.0 A, while the secondary coil has 600 turns and supplies 5.0 A. The voltage across the secondary coil is calculated to be 24 V, and the primary coil contains 3000 turns. To determine the maximum input current before the device is destroyed, the maximum power of 210 W is used, resulting in an input current of approximately 1.32 A.

PREREQUISITES
  • Understanding of transformer equations, specifically V2=V1I1/I2 and N1=N2I2/I1
  • Knowledge of electrical power calculations using P=V*I
  • Familiarity with Ohm's Law for calculating resistance (R=V/I)
  • Basic concepts of alternating current (AC) circuits
NEXT STEPS
  • Study the principles of ideal transformers and their equations
  • Learn about power calculations in electrical circuits, focusing on P=V*I
  • Explore load resistance calculations and their impact on transformer performance
  • Investigate the effects of varying turns ratio on transformer output
USEFUL FOR

Electrical engineering students, educators, and professionals working with transformers and AC circuits will benefit from this discussion.

Sarak
Messages
3
Reaction score
0

Homework Statement


The primary coil of an ideal transformer is connected to a 120-V source and draws 1.0 A. The secondary coil has 600 turns and supplies an output current of 5.0 A to run an electrical device.
A) What is the voltage across the secondary coil?
B) How many turns are in the primary coil?
C) If the maximum power allowed by the device (before it is destroyed) is 210 W, what is the maximum input current to this transformer?


Homework Equations


V2=V1I1/I2
N1=N2I2/I1
and ? I=P/V ?


The Attempt at a Solution


I found part A) to be V2=24, and part B) to be N1=3000. The only equation I can think of for part C) is I=P/V. P is given to be 210 W. I tried plugging V1 and V2 in that equation and haven't gotten the right answer. Can someone given me an idea how to go about this? I can't find anything in the text.
 
Physics news on Phys.org
Maybe you won't see this reply or no more need help but let me reply.

Let's find R(load resistance) from first,

R=V/I = 24/5 ohm

and

Vs= Is*R = Is * 24/5 Volt

also

Ps=Pp= 210 watt

lets use these,

Ps= Vs*Is = Is * 24/5 * Is = 210 watt

Is^2 = 210 * 5/24 A

Is = 6.61 A

now let's find input current. From

Ip/Is = Ns/Np

and

Ip=Ns/Np * Is = 600/3000 * 6.61 = 1,322 A

I suppose approx. correct.
 

Similar threads

Replies
33
Views
4K
Replies
4
Views
2K
Replies
8
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
2K