Showing posts with label RCL Phase Relationships. Show all posts
Showing posts with label RCL Phase Relationships. Show all posts

Monday, 29 August 2022

Week 6 Term 2 2022

 Homework

  • Act 16A, p.265-266 Peak and rms voltage and current
  • Act 16B, p.260 Capacitor Reactance
  • Act 16C, p.275-276 Voltage and Current in a RC circuit
  • Act 16D, p.279 Voltage Current and Impedance in a RC circuit
  • Act 16E, p.282 Inductor Reactance
  • Act 16F, p.286-287 Voltage Current and Impedance in a RL circuit
  • Act 16G, p.289 The LCR series circuit
  • Act 16H, 293-296 Resonance
  • Ex 6L, p.316-317, RC Circuits
  • Ex 6M, 319-320, LC Circuits
  • Ex 6N, 321-324, LCR Circuits

Capacitor Reactance

Inductor Reactance

Resistors in AC Circuits

Capacitors in AC Circuits

Inductors in AC Circuits

RCL in AC Circuits - Part 1

RCL in AC Circuits - Part 2

Capacitors in AC Circuits - Part 3

Inductors in AC Circuits - Part 3

RC in AC Circuits - Part 4

RL in AC CIrcuits - Part 4

RCL in AC Circuits - Part 3

Summary of RCL Circuits

RCL Resonance


RCL Phase Relationships





Impedance of a Capacitor Resistor Circuit
Z = √(XC2 + R2)
θ = tan-1(-XC/R) = tan-1(-VC/VR)
The Capacitor Reactance is 90° behind the Resistance
The Capacitor Voltage is 90° behind the Resistor Voltage


Impedance of a Inductor Resistor Circuit
Z = √(XL2 + R2)
θ = tan-1(XL/R) = tan-1(VL/VR)
The Inductor Reactance is 90° ahead of the Resistance
The Inductor Voltage is 90° ahead of the Resistor Voltage


Impedance of a RCL Circuit
Z = √((XL - XC)2+ R2)
θ = tan-1((XL - XC)/R) = tan-1((VL - VC)/VR)

Resonance



A.C. Circuits & Resonance





Sunday, 12 September 2021

Term 3 Week 5-7 A.C. Electricity

 Homework

  • Act 16A, p.265-266 Peak and rms voltage and current
  • Act 16B, p.260 Capacitor Reactance
  • Act 16C, p.275-276 Voltage and Current in a RC circuit
  • Act 16D, p.279 Voltage Current and Impedance in a RC circuit
  • Act 16E, p.282 Inductor Reactance
  • Act 16F, p.286-287 Voltage Current and Impedance in a RL circuit
  • Act 16G, p.289 The LCR series circuit
  • Act 16H, 293-296 Resonance



RCL Phase Relationships





Impedance of a Capacitor Resistor Circuit
Z = √(XC2 + R2)
θ = tan-1(-XC/R) = tan-1(-VC/VR)
The Capacitor Reactance is 90° behind the Resistance
The Capacitor Voltage is 90° behind the Resistor Voltage


Impedance of a Inductor Resistor Circuit
Z = √(XL2 + R2)
θ = tan-1(XL/R) = tan-1(VL/VR)
The Inductor Reactance is 90° ahead of the Resistance
The Inductor Voltage is 90° ahead of the Resistor Voltage


Impedance of a RCL Circuit
Z = √((XL - XC)2+ R2)
θ = tan-1((XL - XC)/R) = tan-1((VL - VC)/VR)

Resonance



A.C. Circuits & Resonance

Monday, 23 September 2019

Term 3 Week 10 2019

Homework

  • Ex 6A, p.251-254 Level 2 D.C. Circuit Revision
  • Ex 6B, p.261-261 Internal Resistance of a Battery
  • Ex 6C, p.267-272 Kirchhoff's Laws
  • Ex 6D, p.277-280 Capacitors Ep = ½ QV
  • Ex 6E, p.283-284 Capacitors C = 𝜺r𝜺oA/d
  • Ex 6F, p.289-292 Capacitor Networks (Series & Parallel)
  • Ex 6G, p.298-300 Capacitor Charge & Discharge
  • Ex 6H, p.303-305 Inductance in D.C. Circuits
  • Ex 6I, p.308-310 Inductors Charge & Discharge
  • Ex 6J, p.311-312 Transformers
  • Ex 6K, p.314-315 A.C. Peak and r.m.s.
  • Ex 6L, p.316-317 A.C. Capacitor Reactance
  • Ex 6M, p.319-320 A.C. Inductor Reactance
  • Ex 6N, 321-324 A.C. RCL Impedance



  • RCL Phase Relationships





    Impedance of a Capacitor Resistor Circuit
    Z = √(XC2 + R2)
    θ = tan-1(-XC/R) = tan-1(-VC/VR)
    The Capacitor Reactance is 90° behind the Resistance
    The Capacitor Voltage is 90° behind the Resistor Voltage


    Impedance of a Inductor Resistor Circuit
    Z = √(XL2 + R2)
    θ = tan-1(XL/R) = tan-1(VL/VR)
    The Inductor Reactance is 90° ahead of the Resistance
    The Inductor Voltage is 90° ahead of the Resistor Voltage


    Impedance of a RCL Circuit
    Z = √((XL - XC)2+ R2)
    θ = tan-1((XL - XC)/R) = tan-1((VL - VC)/VR)

    Resonance



    A.C. Circuits & Resonance

    MIT Physics Demo -- Resonant RLC Circuit


    Tuesday, 24 October 2017

    Term 4 Week 1 2017





    RCL Phase Relationships





    Impedance of a Capacitor Resistor Circuit
    Z = √(XC2 + R2)
    θ = tan-1(-XC/R) = tan-1(-VC/VR)
    The Capacitor Reactance is 90° behind the Resistance
    The Capacitor Voltage is 90° behind the Resistor Voltage


    Impedance of a Inductor Resistor Circuit
    Z = √(XL2 + R2)
    θ = tan-1(XL/R) = tan-1(VL/VR)
    The Inductor Reactance is 90° ahead of the Resistance
    The Inductor Voltage is 90° ahead of the Resistor Voltage


    Impedance of a RCL Circuit
    Z = √((XL - XC)2+ R2)
    θ = tan-1((XL - XC)/R) = tan-1((VL - VC)/VR)

    Resonance



    A.C. Circuits & Resonance

    MIT Physics Demo -- Resonant RLC Circuit