1. Physics 4 – March 30, 2017
P3 Challenge – A uniform magnetic field of B = 3.5 mT is directed into the page. An electron approaches this field from the left at v = 3.2 x 105 m/s. Determine the magnitude and direction of the force on the electron.
Get out p241 #37-46 for Hmk Check

2. Objectives/Agenda/Assignment
Ch 5.4 Magnetism (finish)
Ch 11.1 Induction
Assignment: p442 #1-13
Agenda:
Magnetic force on current carrying wire
Force between two current carrying wires
HMK review
Induced motional emf
Magnetic flux
Faraday’s Law
Lenz’s Law

3. Rest of Year Overview March 30 – 11.1 Induction
April Alternating Current
April 6 – Review / Buffer
April 7 Review
April 11 – Electromagnetism Test
April 13 – B.2 Thermodynamics
April 18 – B.3 Fluids (no test for Opt B)
April 20 – 7.1 Radioactivity and 7.2 Nuclear reactions
April 25 – 7.3 Particle Physics
April 27 – 12.1 Matter and Radiation
April 28 – 12.2 Nuclear Physics
May 2 – Review
May 4 – Nuclear Test
May 8 – Review
May – Senior Finals (IB practice)
May 15 – IB Physics Papers 1 and 2
May 16 – IB Physics Paper 3

4. Magnetic force on a current wire
F = BILsin Where B is the magnetic flux density, I is the current, L is the length of wire in the field, and  is the angle between the current and the magnetic field.
Direction of force given by the same right hand rule as for moving charges, a current is a moving charge.
Force directions are defined for a positive moving charge or current
Recall that electrons move in the opposite direction to a current and will experience the magnetic force in the opposite direction.

5. Force between parallel wires
Two wires can combine their magnetic fields in regular vector field addition, just like we saw with electric fields.
Two wires can be parallel if the currents flow in the same direction or anti-parallel if the currents flow in opposite directions.
Parallel currents create an attractive force
Antiparallel create a repulsive force

6. Definition of the Ampere
Remember we use the ampere as the fundamental SI base units for all things electrical.
Why? Because it can be standardized through the magnetic force between current carrying wires:
If the force on a 1 m length of two wires that are 1 m apart and carrying equal currents is 2 x 10-7 N, then the current in each wire is defined to be 1 Ampere.

7. Motional Electromotive Force (Emf)
We’ve seen that a current carrying wire creates a magnetic field.
The opposite cause and effect can also occur. A magnetic field can cause charges in a wire to move.
How? By moving the wire through the magnetic field.
Right hand rule shows that the magnetic field pushes protons up and electrons down.
The result is a separation of charge, which is a potential difference V… an induced EMF

8. Magnitude of induced EMF 
 = BvL where B is the magnetic field (T), v is the speed of the wire moving through the field, and L is the length of the wire located within the field.
Called a motional emf because it requires motion to create the emf.
If there are multiple loops of wire, you can multiply this emf by the number of loops, N, to find the overall emf of the solenoid.
 = BvLN Both of these forms are in the data packet

9. Power of Induced emf
Connecting this emf to a simple circuit, you can determine the current through a resistor, R. IR = BvL then solve for I = BvL/R
The now current carrying wire generates a force F = BIL = B(BvL/R)L = B2vL2 /R
Recall Power = Fv = W/t
Power of the force generated by the induced emf: P = (B2vL2 /R)v = B2v2L2 /R
Remembering  = BvL , P= 2/R This is equivalent to P = V2/R we saw before in Ch 5.2.

10. Magnetic Flux, 
Motion is required for an induced emf. We can move the magnetic field through a stationary solenoid as shown.
Equivalent to moving a wire through a magnetic field. Only relative motion is required.
Observation of this system show larger currents with:
Greater relative speed
Stronger magnetic field
Higher number of turns
Greater area of loop
Max value when magnet and turns are perpendicular

11. Magnetic Flux, 
The amount of magnetism flowing normally (perpendicular) over an area is called the magnetic flux, .
The magnitude of magnetic flux is  = BAcos where  is the angle relative to the normal to the area.
Unit = weber Wb, 1 Wb = 1 T m2
Useful analogies: Hair within a rubberband or noodles in a loop => magnetic field lines within a given area. Flux is the density of hair, noodles or field lines.
When the magnetic field passes through many loops of a solenoid, it is call a magnetic flux linkage and  = NBAcos

12. Faraday’s Law
The induced emf is equal to the rate of change of the magnetic flux linkage:  = N /t.
 = BAcos and  is the angle to the normal to the area
Note: A changing flux creates an induced emf, not necessarily a current. For a current it has to be placed in a circuit with a resistor.
Ex: The magnetic field through a single loop of area 0.20 m2 is changing at a rate of 4.0 T/s. What is the induced emf?

13. Lenz’s Law
The induced emf will be in such a direction as to oppose the change in the magnetic flux that created the current.
Consider an increase as directed in the direction of the magnetic field. Consider a decrease as directed opposite the magnetic field.
Pretend the loop is a solenoid with one turn and use the Right Hand Grip rule to determine the direction of a magnetic field for the loop that will oppose the “change direction”
Consider a loop in a field directed into board a) increasing, b) decreasing
Consider a loop in a field directed out of board a) increasing b) decreasing

14. Exit slip and homework
Exit Slip – What is the magnetic flux linkage for a 3.5 mT magnetic field is present through a solenoid with 50 turns and a 6.25 cm radius?
What’s due? (homework for a homework check next class)
P442 #1-13
What’s next? (What to read to prepare for the next class)
Read 11.2 AC Power, p