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AC Circuits: Alternating Current, Capacitance, Inductance, and Transformers, Slides of Physics

Alagappa UniversityPhysics

Various topics related to ac circuits, including capacitive reactance, inductive reactance, phasor diagrams, resonance, and transformers. It also provides formulas for calculating impedance, phase angles, and power delivered to the circuit. Examples and references to maxwell's equations for further study.

Typology: Slides

2012/2013

Uploaded on 07/24/2013

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Chapter 28: Alternating-Current Circuits
• Review of Mini Exam 4
• Review of
LRC
circuits
• Voltage/phase relations
• Impedance
• Resonance
• Power in
LRC
circuits
• Example problem
• Transformers
• Maxwell’s equations (Ch. 29 – if time)
Reading: up to page 515 in the text book (Ch. 28/29)
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Chapter 28: Alternating-Current Circuits

  • Review of Mini Exam 4
  • Review of LRC circuits
    • Voltage/phase relations
    • Impedance
    • Resonance
    • Power in LRC circuits
  • Example problem
  • Transformers
  • Maxwell’s equations (Ch. 29 – if time) Reading: up to page 515 in the text book (Ch. 28/29)

AC Circuits and R, L and C: a Summary Capacitive reactance: X C = 1 / !C (units - !) Inductive reactance: X L = !L (units - !)

Resonance I p = V p R 2

  • X L ! X C ( ) 2

X

L

= X

C X L

X C X L < X C V leads V lags

o

LC

At resonance, Z = R , and ϕ = 0 (just like a DC circuit) tan_!_ =

X

L

! X

C R

Resonance

X

L

= X

C X L

X C X L < X C V leads V lags P = 1 2 I p V p cos_!_ = I rms V rms cos_!_ Power delivered to the circuit:

Transformers Soft iron

  • Energy must be conserved, so ‘power in’ must equal ‘power out’
  • Therefor, I 1 V 1 = I 2 V 2 ! V 2 V 1 = I 1 I 2 = N 2 N 1