Inductor

1
Inductor

• Circuit element in which a change of current
  induces a voltage difference.
• I-V Relationship for linear inductor
• Inductance Unit L in Henry (H V sec / A)
• Drill Determine vL(t) when (a) iL(t) e-2t A,
  and (b) iL(t) 2A
• When all sources are DC, an inductor is
  equivalent to .

2
Continuity Property

• Drill Determine vL(t) when iL(t) is (a) a
  triangular wave and (b) a square wave.
• Current through an inductor cannot change
  instantaneously

3
Power and Energy

• Power absorbed by the inductor
• Energy stored in the inductor over t0,t1
• Drill Find the current through the inductor and
  the energy stored for t ? 0 when vL(t)cos(2pt)
  for t ? 0

4
Capacitor

• Circuit element in which a change of voltage
  induces current flow
• I-V Relationship for linear capacitor
• Capacitance Unit C in Farads (F A sec / V)
• Drill Determine iC(t) when (a) vC(t) e-500t
  sin(1000t) V, and (b) vC(t) 10V
• When all sources are DC, a capacitor is
  equivalent to .

5
Continuity Property

• Drill Determine iC(t) for vC (t) shown
• Voltage across a capacitor cannot change
  instantaneously

6
Power and Energy

• Power absorbed by the inductor
• Energy dissipated by the inductor over t0,t1
• Drill Find the voltage across the capacitor and
  the energy stored for t ? 0 when iC(t)sin(2pt)
  for t ? 0

vC (t)
0.5 H
iC(t)
7
Conservation of Charge

• Current definition
• Relationship of charge to capacitor voltage and
  current
• The Principle of Conservation of charge

8
Series and Parallel Inductors

• Series inductors
• Parallel

9
Series and Parallel Capacitors

• Series capacitors
• Parallel capacitors

10
Solving L and C Circuits

• 6 p. 211, 24 p. 213, 34 p. 215

11
Duality Principle

• Dual Circuits Two circuits N and N are dual if
  by interchanging (I ? I) and (V ? V) KVL, KCL
  and I-V of circuit N become KCL, KVL and V-I for
  circuit N.
• Dual Capacitor and inductor I-V

12
Constructing Dual Circuit

• interchange current and voltage sources
• interchange resistances, R, and conductances,
  1/RG.
• interchange capacitors and inductors
• Parallel connections become series conections.
• Drill Example 7.12 p. 206.