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Quiz 6. Physics 7C Fall 2008 Lecture 6: Field model. Electric Force & Electric Field (review) PE electric & Electric Potential Magnetic Force & Field. Calendar. Sections 1-4: DLM 17 on Tuesday Section 5: DLM 17 on Weds 8-10:20 Section 7 & 10: DLM 17 on Mon 8-10:20 or 2:10-4:30
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Physics 7C Fall 2008Lecture 6: Field model Electric Force & Electric Field (review) PEelectric & Electric Potential Magnetic Force & Field
Calendar Sections 1-4: DLM 17 on Tuesday Section 5: DLM 17 on Weds 8-10:20 Section 7 & 10: DLM 17 on Mon 8-10:20 or 2:10-4:30 Sections 8, 9, 11: DLM 17 either Monday OR Weds: Ask TA
Models of Electric Phenomena: • Electric Field and Forces • Each source charge Q generates an Electric FieldEQ • Direction convention shown at right • The net Electric Field is the sum of all the source fields • Charge q, placed in an electric field Etot, experiences a force Felec on q=qEQ. • For + test charge, force points in the same direction as field. • For - test charge, force points in opposite direction of field • Field, Forces, Potential Energy, and Potential
Models of Electric Phenomena: • Field, Forces, Potential Energy, and Potential • PE & Forces • started in 7A • Similar relationship to V & E • Potential--started in 7B • PE & V have similar relationship as F & E F PE V E
Reviewing what you’ve previously studied… • Gravitational Potential Energy 3 g 2 1
Relationship between Potential Energy and Force 0 r Potential Energy -
Relationship between Potential Energy and Force 0 r 1 2 Potential Energy 3 Negative means decrease of PE with decreasing r -
Relationship between Potential Energy and Force 0 r 1 2 F = - DPE/Dr, the - slope Potential Energy 3 Force increases with greater slope More slope closer to earth means F is greater there -
Reviewing what you’ve previously studied… • Relationship between Potential Energy and Force. 1 • Magnitude of Force = slope of PE vs. r graph. 4 3 2
Defining a new quantity • Gravitational Potential: How much Potential Energy would a mass m have if placed (x,y)? y 3 g 2 1 x
Electric Field and Potential: Constant Electric Field • Slope of the potential • constant as a function of distance. • negative • Electric field is • constant as a function of distance • positive
Electric Potential of a point charge:Positive and Negative Charge. • Not all potentials are straight lines!
Equipotential Surfaces: Lines where V is the same. • Equipotential surfaces for a point charge. • Circles are 0.5 V apart. • Distance between circles is NOT uniform! • Circles get closer and closer toward center • Potential grows like 1/r
Putting it all together… • Which quantities depend only on source charge(s)? • Electric Field (E) • Electric Force (F) • Electric Potential Energy (PE) • Electric Potential (V)
Putting it all together… • Which are vector quantities? • Electric Field (E) • Electric Force (F) • Electric Potential Energy (PE) • Electric Potential (V)
Putting it all together… • Which quantities are related by slopes (that is, if you take the slope of one, you get the other) • Electric Field & Electric Force • Electric Potential Energy & Electric Potential • Electric Force & Potential Energy • Electric Field & Electric Potential
Field Model: • A source (A) creates a (B) _ field in a direction _. • The net (B) _ field is the sum of all the source fields. • A test (A) , placed in a (B) _ field, experiences a (B) _ force • Magnitude given by _____ • Direction of force: _____
Field Model: Magnetism • A source ____________ creates a magnetic field in a direction given by _______. • The net magnetic field is the sum of all the source fields. • ___________, placed in a magnetic field, experiences a magnetic force • Magnitude given by _____ • Direction of force given by _____
A little background • Compasses or bar magnets, if allowed, will always orient north-south Why?
A little background • Compasses orient in the same direction as the magnetic field.
A little background • Iron fillings also orient in the same direction as the magnetic field.
Magnetic Field from a wire • If we allow iron fillings freedom to rotate, and put them near a current-carrying wire, this is how they align:
Magnetic Field from a wire • If we place compasses around a long current-carrying wire, this is how they align (view is looking down wire) What does this mean for the magnetic field model??
Field Model: Magnetism • A source moving charge creates a magnetic field in a direction given by _______. • The net magnetic field is the sum of all the source fields. • A test moving charge, placed in a magnetic field, experiences a magnetic force • Magnitude given by _____ • Direction of force given by _____
Phenomenon: Magnet near an electron beam • The beam is composed of electrons--moving charges • Observe the effects of a large magnet on the beam…
Phenomenon: jumping wires • Two wires • Initially no current (observe wires) • Connect both wires to a generator, making current flow. Observe: • What happens to the wires? • What happens if I reverse the direction of the current in one wire (compared to first time)? • What happens if I reverse the direction of the current in both wires (compared to the first time)? • What would happen if I could put current in only one wire?
Field Model: Magnetism • A source moving charge creates a magnetic field in a direction given by RHR1. • The net magnetic field is the sum of all the source fields. • A test moving charge, placed in a magnetic field, experiences a magnetic force • Magnitude given by _____ • Direction of force given by _____
Which direction is the magnetic field at point A? Into the screen Out of the screen Towards the wire Away from the wire Points down Points up Another direction A B C I
Which direction is the magnetic field at point B? Into the screen Out of the screen Towards the wire Away from the wire Points down Points up Another direction A B C I
Which direction is the magnetic field at point C? Into the screen Out of the screen Towards the wire Away from the wire Points down Points up Another direction A B C I
Magnetic Force F into the screen v x RHR2 (for positive charge): your thumb points in the direction of the moving charge, B is along your index finger, and F is the middle finger. Very Bad Finger B v B q F F = qvBsinq, where q is the angle between B and v
Magnetic Force • Suppose a large magneticfield points downward at every point in the room. What direction is the force on a positive particle traveling along the chalkboards, to your left? Into the board Out of the board Left (along particle path) Right (opposite path) Down Up No Force v B q F = qvBsinq, where q is the angle between B and v
Magnetic Force • Suppose a large magneticfield points downward at every point in the room. What direction is the force on a positive particle traveling out of the board, to the back of the room? Into the board Out of the board Left (along particle path) Right (opposite path) Down Up No Force v B q F = qvBsinq, where q is the angle between B and v
Magnetic Force • Suppose a large magneticfield points downward at every point in the room. What direction is the force on a positive particle traveling upward, toward the ceiling? Into the board Out of the board Left (along particle path) Right (opposite path) Down Up No Force v B q F = qvBsinq, where q is the angle between B and v
Field Model: Magnetism • A source moving charge creates a magnetic fields in a direction given by RHR1. • The net magnetic field is the sum fo all the source fields. • A test moving charge, placed in a magnetic field, experiences a magnetic force • Magnitude given by F=qvBsin • Direction of force given by RHR2