AC Circuits

# AC Circuits - PHY 2049C General Physics B Fields, Circuits,...

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PHY 2049C – General Physics B Fields, Circuits, Waves, Light Today: 1) Induction / Inductance reviewed 2) AC circuits:“Reactance” : R,L,C 3) Transformers

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Self-Inductance L The magnetic flux through a coil is proportional to the current flowing through it, so we can write The proportionality constant L is called the self-inductance of the coil, whose unit is the henry (H = 1 Wb/A ) If the current is changing , it results in induced Voltage of =LI Φ ind dd I V= = L dt Φ −−
Inductance Example: Self-inductance of a long solenoid that is, 2 0 L NA l μ = 0 2 0 N =NBA=N I A l =I l ⎛⎞ Φ ⎜⎟ ⎝⎠ l inside 0 N B I l

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Example: Car Engine Ignition Coil Principle: ind m V= dt ΔΦ
AC Generators Magnetic flux Induced Voltage sin , =NBA = t θ θω Φ ind d V= dt Φ ind peak peak cos t , V V =N B A ω

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AC Generators 2 PI V I R == Power delivered to resistor 22 av peak 1 2 R I R <> Average power peak cos t V I= =I t R ω
Generators 0 2 av peak rms rms 1 2 PI R I V == Average power

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rms Voltage / Current Average power where the root mean
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## AC Circuits - PHY 2049C General Physics B Fields, Circuits,...

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