Magnetic Force on a Conductor Learning Target 2: I understand that when moving charges (individual or in conductors) are placed in magnetic fields, they will often experience a force. I can determine the direction of this force, and quantify it.

This is also called the Motor Principle: To get a grasp on this concept we will visit http://www.physics4spm.com/2009/05/animated-motor-principle.html Instead of analyzing a single point charge, we will analyze current within a conductor. Recall from yesterday the force on a single point charge is:

Fm  qvB sin 

Force on a conductor of length “l” with current “I”

Fm  IlB sin 

Derivation of above formula:

With this formula you finally get a general idea of what a Tesla really is…. 1 T is the magnetic field strength present when a conductor with a current of 1A and a length of 1m at an angle of 90 degrees to the magnetic field experiences a force of 1N; 1T = 1N/Am

The Right Hand rule learned yesterday for a point charge applies today as well, just switch the velocity vector (v) with the current (conventional) direction (I). See the last page of this note explaining difference between current flow and electron flow.

Example: A conductor 45 cm long with a mass of 15g lies in a horizontal position at a 90 degree angle to a uniform magnetic field of magnitude 0.20T. a) What must the current in the conductor be in the magnetic force is to support the weight of the conductor?

b) Supposing the current stays the same, but the angle the conductor makes with the magnetic field is changed to 45 degrees. Calculate the magnitude of the new magnetic force.

Common Questions Which Might Arise 1.

Electron Flow vs. Current Flow (conventional)

Conventional (current) flow is from + to -. It comes from early times when no one knew the charge of the current carriers and so they arbitrarily defined them as being positive. But the current carriers turned out to be electrons, which are negatively charged, and since like charges repel and opposite charges attract, they are attracted to a plus terminal. Thus electrons flow from minus to plus. When we say "current flows from + to -", we do NOT mean electron flow. We mean conventional current flow or "hole" flow. We know positive charges come from protons and negative charges come from electrons. But we also know that protons do not flow since the proton is stuck in the nucleus, therefore positive charges do not physically flow. Electrons on the other hand, do flow since they can jump from atom to atom so negative charges can flow. But when the negative charge jumps, it leaves behind a "hole" of positive charge that originates from the proton in the nucleus which no longer has it's charge cancelled to zero because the electrons isn't there anymore. As the electrons move in one direction and leave behind holes, it will appear as though the holes flow in the opposite direction. This hole flow is conventional current. 2. So what’s the difference between a generator and motor then? motor= converts electrical energy to mechanical energy when current flows through conductor in presence of magnetic field resulting in motion of conductor generator = mechanical energy converted to electrical energy when a conductor is rotated in a magnetic field or a magnetic field is rotated near a conductor. This causes generation of electricity. This is what we are building for our unit project.

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