What We’ve Observed An increasing magnetic field induces a negative emf A decreasing magnetic field induces a positive emf A magnetic field that alternates by increasing and decreasing causes current to move back and forth
Lenz’s Law Heinrich Lenz Image obtained from:
Lenz’s Law A current induced by a changing B field opposes the change in the B field If B is increasing, current will flow to try and decrease B field B B
Lenz’s Law A current induced by a changing B field opposes the change in the B field If B is increasing, current will flow to try and decrease B field B inc. B induced I × × × × × × I B inc.
Lenz’s Law A current induced by a changing B field opposes the change in the B field If B is increasing, current will flow to try and decrease B field B initial B induced B inc. B net B still increases, but was opposed by B from induced current Negative feedback
Lenz’s Law A current induced by a changing B field opposes the change in the B field If B is increasing, current will flow to try and decrease B field If B is decreasing, current will flow to try and increase B field B B
Lenz’s Law A current induced by a changing B field opposes the change in the B field If B is increasing, current will flow to try and decrease B field If B is decreasing, current will flow to try and increase B field B dec. B induced I I B dec.
Lenz’s Law A current induced by a changing B field opposes the change in the B field If B is increasing, current will flow to try and decrease B field If B is decreasing, current will flow to try and increase B field B initial B induced B dec. B net B still decreases, but was opposed by B from induced current Negative feedback
Lenz’s Law A helpful analogy: Inertia: mass resists changes to its velocity If velocity is = 0 m/s, wants to remain at 0 m/s If velocity is ≠ 0 m/s, wants to keep moving with that velocity B B
Lenz’s Law A helpful analogy: Inertia: mass resists changes to its velocity If velocity is = 0 m/s, wants to remain at 0 m/s If velocity is ≠ 0 m/s, wants to keep moving with that velocity B B
Lenz’s Law A helpful analogy: Inertia(?): charge resists changes to its current If velocity is = 0 m/s, wants to remain at 0 m/s If velocity is ≠ 0 m/s, wants to keep moving with that velocity B B
Lenz’s Law A helpful analogy: Inertia(?): charge resists changes to its current If current is = 0 A, wants to remain at 0 A If velocity is ≠ 0 m/s, wants to keep moving with that velocity B B
Lenz’s Law A helpful analogy: Inertia(?): charge resists changes to its current If current is = 0 A, wants to remain at 0 A If current is ≠ 0 A, wants to keep flowing with that current Lenz’s Law describes how current in wires do this B B
Inductance Suppose you have the following circuit: Inductor- resists changes in current If connected to source, keeps current from flowing for a while If disconnected from source, keeps current flowing for a while
Inductance Assume switch has just been closed Current flowing through inductor was 0 A Current now increasing through inductor Lenz’s Law: inductor opposes change by inducing a current in opposite direction of increasing current Acts like a temporary battery
Inductance Assume switch has just been closed Current flowing through inductor was 0 A Current now increasing through inductor Lenz’s Law: inductor opposes change by inducing a current in opposite direction of increasing current Acts like a temporary battery
Inductance After letting this run for a while, inductor operates like a normal wire
Inductance After letting this run for a while, inductor operates like a normal wire But what happens to a solenoid with a current flowing through it? Strong B field inside inductor B
Inductance Now suppose switch is opened B
Inductance Now suppose switch is opened Was current flowing through inductor Current now decreasing through inductor Lenz’s law: inductor opposes change by inducing a current in same direction as decreasing current Acts like a temporary battery B
Inductance Now suppose switch is opened Was current flowing through inductor Current now decreasing through inductor Lenz’s law: inductor opposes change by inducing a current in same direction as decreasing current Acts like a temporary battery B
Inductance After letting this run for a while, inductor operates like a normal wire B
Inductance After letting this run for a while, inductor operates like a normal wire Where did the current come from? Strong B field inside inductor is no longer there Hmm…
Inductance Inductors store energy in a B field When current first flows into inductor, some current gets stored in B field When current is cut off, current stored in B field released Capacitors & Inductors Capacitors store charge in E field Inductors store current in B field
Inductance
Image obtained from: Joseph Henry
Inductance Image obtained from: Joseph Henry