Why does Ohm's law not apply to transformers?

In summary: So the transformer is actually increasing the current in the primary compared to the secondary. In summary, a transformer can increase the voltage yet lower the current by transforming the resistance of the load to a different value, as seen by the supply. This is possible because the transformer increases the current in the primary compared to the secondary, due to the law of Conservation of Energy. The equations P=VI and V=RI are not contradictory, but rather work together to explain the effects of a transformer on voltage and current.
  • #1
AsrielDreemurr
2
0
How can a transformer increase the voltage yet lower the current? Are the equations P=VI and V=RI contradictory?

Thanks in advance and sorry if I made any english mistakes.
 
Physics news on Phys.org
  • #2
Hi, http://forums.mikeholt.com/showthread.php?t=160324discussion might help you with this.
 
  • #3
AsrielDreemurr said:
Are the equations P=VI and V=RI contradictory?
Not at all. You'll need to study transformer magnetics first. Primary current "due to" the primary voltage source is called magnetizing current and it establishes the flux in the core. When we say VpIp=VsIs, Ip is the reflected secondary current, an extra current drawn from supply to totally cancel out the demagnetizing action of secondary mmf and maintain constant flux in the core(the one produced by magnetizing current). Magnetizing current is very very small compared to Ip, hence is neglected in explanations about the transformer. For power transfer, Ip is responsible. Get any good electrical machinery book and you'll see all these things explained in detail.
 
  • #4
AsrielDreemurr said:
Are the equations P=VI and V=RI contradictory?
Not when you realize that the effect of a transformer is to modify (transform) the Resistance of the load to a different value, as seen by the supply. In order to understand this you have to get the causes and effects in the right order. The produce VI will be unchanged but the R of the load will determine the current through it for a given secondary Volts. The Load Current times the Secondary Volts is the Power dissipated and so is the Supply Current times the Primary Volts.
We all know that the Voltage is altered by the ratio of the numbers of turns in primary and secondary but also the Load resistance is transformed by the square of the turns ratio. So a mains transformer will supply high current at a low voltage (to a low resistance load) but demand a low current from the mains voltage supply (presenting itself as a high resistance).
 
  • #5
AsrielDreemurr said:
How can a transformer increase the voltage yet lower the current? Are the equations P=VI and V=RI contradictory?
Increase the voltage vs what? Was the circuit run without a transformer before the transformer was installed? What was the current then?

The equations work fine, the problem is that you are not being strict/specific in your analysis.
 
  • #6
I think I got it, thanks a lot!
 
  • #7
AsrielDreemurr said:
How can a transformer increase the voltage yet lower the current?

It doesn't lower the current. It's best to think of the current in the secondary as determined by the load not the transformer. No load => no secondary current Is. If the load is a resistor of value R then Is = Vs/R.

If the transformer increases the voltage (in the secondary compared to primary) then the current in the primary Ip will be greater than the secondary Is. So it looks like the transformer is reducing the current in the secondary compared to the primary but in reality it's the other way around. The secondary current is dictating the primary current. This is due to the law of Conservation of Energy. If the transformer is lossless (aka "Ideal") then the power going into the primary must equal that drawn by the load on the secondary.

Conservation of energy...
Pp=Ps
but P=IV so..

IpVp=IsVs
rearrange
Ip = Is* (Vs/Vp)

So if Vs > Vp then Ip > Is
 

1. Why is Ohm's law not applicable to transformers?

Ohm's law states that the current through a conductor is directly proportional to the voltage across it, for a given temperature. However, transformers are not simple conductors and their operation involves more complex principles of electromagnetism.

2. How do transformers violate Ohm's law?

Transformers violate Ohm's law because they have two separate circuits, the primary and secondary, which are connected by a magnetic field. This magnetic field causes a change in the voltage and current between the two circuits, making it difficult to apply Ohm's law to the overall system.

3. What are the factors that make Ohm's law not applicable to transformers?

There are several factors that contribute to the non-applicability of Ohm's law to transformers. These include the presence of a magnetic field, the varying number of turns in the coils, and the differences in impedance between the primary and secondary circuits.

4. How does the magnetic field affect the applicability of Ohm's law in transformers?

The magnetic field in transformers plays a significant role in their operation and causes a change in the voltage and current between the primary and secondary circuits. This makes it difficult to determine the resistance or impedance of the overall system, which is necessary for applying Ohm's law.

5. Can Ohm's law be used in any aspect of transformer operation?

While Ohm's law may not be applicable to the overall operation of transformers, it can still be used to calculate the current and voltage within each individual circuit (primary and secondary). However, it cannot be used to determine the overall behavior of the transformer as a whole.

Similar threads

  • Electromagnetism
Replies
16
Views
663
  • Electromagnetism
Replies
32
Views
2K
Replies
22
Views
4K
Replies
7
Views
1K
  • Electromagnetism
Replies
11
Views
1K
  • Classical Physics
2
Replies
57
Views
7K
Replies
1
Views
822
  • Classical Physics
Replies
20
Views
1K
  • Electromagnetism
Replies
16
Views
1K
  • Electromagnetism
Replies
8
Views
2K
Back
Top