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High speed Digital Design fundamentals - Various Reactances in PCBs

Reactances

Digital Designers need to be aware of following four reactances sources that a signal sees on the board
    • Normal capacitance
    • Normal inductance
    • Mutual Capacitance
    • Mutual Inductance

Normal Capacitance

  • The capacitance can be defined as the reluctance offered by the capacitor either to charge quickly or decay quickly.
  • The initial current into the uncharged capacitor will be high, at short time scale, capacitor acts like short

Normal Inductance

  • Inductance is everywhere, in all electric circuits
  • The inductance can be defined as the reluctance offered by the inductor either to build up quickly or decay quickly.
  • At short time scales, inductor acts as open circuit

Mutual capacitance

  • Mutual capacitance is present wherever there are two or more circuits
  • There will be interaction between two circuits. The level of interaction decays expoential with the increase in distance
  • Unit: farads or amp-sec/volt
  • Mutual capacitance coupling is like a parasitic capacitor connected between circuit 1 and circuit 2
  • A mutual capacitance injects a current into circuit 2 which is proportional to the rate of change of voltage in circuit 1.
  • Mutual capacitance is less harmful than mutual inductance
  • Mutual capacitance of 8-10% may induce voltage levels of around 0.5 V

Mutual inductance

  • Mutual inductance exists wherever there are two or more loop currents
  • Coefficient of mutual inductance decreases as distance between two loop currents increases
  •  Unit:henries or volt-sec/amp
  • Quick changes in current in loop 1 induces large voltage in loop 2
  • Similar to mutual  capacitance, the mutual inductance induces unwanted crosstalk between circuits
  • Faraday's law states that the induced voltage Y(t) is proportional to the rate of change of flux in loop 1. Hence, a fraction of the total flux from loop 1 passes through loop 2.
  • Overall, voltage induced in loop 2 is directly proportional to current in loop 1. Since magnetic field is vector quantity, the voltage induced reverses as direction of current reverses