Introduction

• Fundamental components of a.c. series circuits are Resistance (R), Inductance (L) and Capacitance (C)
• Effect of frequency (f) on inductance and capacitance
  Inductive Reactance X_L = 2 π f L ; Capacitive Reactance X_C = 1 / 2 π f C
• Circuit characteristics vary based on series or parallel connection of R, L and C components
  Net impedance of a series circuit represented as Zφ
  Where | Z | = √{ R² + (ω_L - 1 / ω_C)²} and φ = Tan^-1 { ( ω_L - 1 / ω_C) / R} and ω = 2 π f
• Representation of vector addition of voltage drops across various components using String Diagram

]]> Run 1: RLC Series Circuit

• Circuit Diagram for experimental setup of RLC Series Circuit
• Types of instruments used in the circuit
• How resonance can be achieved by varying any one parameter i.e. either Frequency, Inductance or Capacitance
• Current is maximum and impedance is minimum at resonance
• For performing experiment, vary inductor to achieve resonance condition X_L=X_C
• Phasor Diagram for RLC Series Circuit for following conditions
  i) V_L=V_C, ii) Maximum Line Current, iii) V_L > V_C, and iv) V_L < V_C

]]> Run 2: RLC Parallel Circuit

• Circuit Diagram for experimental setup of RLC Parallel Circuit
• Types of instruments used in the circuit
• Effective expressions for RLC Parallel Circuits
  Admittance | Y | = √{(1/R)² + ( 1/ωL - ωC)²} and φ = Tan^-1 { R. ( 1/ωL - ωC)}
• Voltage is maximum, current is minimum and admittance is minimum at resonance
• Vary inductor to achieve resonance condition ωC =1/ωL
• Phasor Diagram for RLC Parallel Circuit for following conditions
  i) I_L=I_C, ii) Minimum Line Current, iii) I_L>I_C, and iv) I_L< I_C

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