Note-A-Rific: Lenz’s Law


A question still remains when it comes to generating electricity using a changing magnetic field… what direction does the current flow?

·        Just a few years after Faraday discovered EM induction, the German physicist Heinrich Lenz came up with a rule based on some logic.

 

Lenz started with a general idea and worked out his rule.

·        If you use a magnet to induce an electrical current to flow through a coil of wire, you will actually be creating a brand new magnetic field in the coil.

o       This magnetic field is called an induced field.

o       Remember, any coil of wire with current flowing through it is a solenoid, a magnet.

·        Lenz wondered if the induced field would attract or repel the magnet.

o       He knew that he would also have to look at a couple of different cases.

§         Magnets being pushed into the coil.

§         Magnets being pulled out of the coil.

o       We’ll look at the different possibilities here, and decide (based on our knowledge of physics) which one is correct.

o       For now we will only look at situations of pushing the magnet into the coil.

 

First Possibility

·        As I push the magnet into the coil, I measure the electron flow going in the direction shown.

·        What is the direction of the magnetic field induced in the coil…?

o       Using the 2nd Left Hand Rule, we find that the end of the coil nearest to the magnet is the south end…

·        Let’s examine what would happen if this is correct…

o       I start pushing the magnet to the right.

o       This induces a current in the wires as shown.

o       The induced current creates an induced magnetic field around the solenoid, with the south end near the magnet I started pushing.

o       Since south attracts north, the coil pulls the magnet into the magnetic field… I don’t even have to push it anymore.

·        I now have the electrical energy in the coils and the kinetic energy of a moving magnet without having to do anything!!!

·        Sorry, but this is wrong.

o       It breaks the laws of thermodynamics… basically, “you can’t get something for nothing.”

o       If this situation was true, it would be like the universe was giving you energy for free.

 

Second Possibility

·        As I push the magnet into the coil, I measure the electron flow going in the direction shown.

·        What is the direction of the magnetic field induced in the coil…?

o       Using the 2nd Left Hand Rule, we find that the end of the coil nearest to the magnet is the north end (opposite to what it was before)…

·        Let’s examine what would happen if this is correct…

o       I start pushing the magnet to the right.

o       This induces a current in the wires as shown.

o       The induced current creates an induced magnetic field around the solenoid, with the north end near the magnet I started pushing.

o       Since north repels north, the coil pushes against the magnet … oh, man! I’m going to have to keep pushing really hard to keep generating electricity!

·        Even though you might not like doing work, this one is correct.

o       It obeys the laws of thermodynamics… I am not “getting something for nothing.”

o       The energy of my muscles (or another device) doing work the whole time is being transformed into electrical energy.

 

When I first learned about this, I had a way of remembering it.

“The universe is a tough place, and it will always make you do more work than you want to!”

 

A similar situation happens when you are trying to pull the magnet out of the coils…

·        Notice that when I pull the magnet out of the coil, the direction of the current reverses.

·        This means that the induced magnetic field of the solenoid is also pointing in the opposite direction.

o       Now the north end of the magnet is near the south end of the solenoid… they’ll attract!

o       Oh no! To keep on generating electricity I’ll have to do even more work to try to pull these two apart!

o       See, I told you the universe will always make you do more work than you want to…