Circuit Board Traces

EMC Question of the Week: June 25, 2018

Two circuit board traces are routed 0.25 mm over a half-ounce copper current-return plane. One trace carries a 5-volt digital signal and is terminated with a 10-pF load capacitance. The minimum transition time of the digital signal is 1 nanosecond. If the shared return path resistance of the plane is 1 mΩ, what is the maximum voltage coupled to the second trace due to common-impedance coupling?

  1. about 50 μV
  2. about 500 μV
  3. about 50 mV
  4. about 500 mV

Answer

The correct answer is "a." The maximum coupled voltage due to common-impedance coupling is the shared impedance times the maximum current in the source circuit. The maximum current in the source circuit is approximately C * dV/dt. C is 10 pF. dV is about 5 volts. dt is about 1 nanosecond. Therefore, the maximum current is about 50 mA. Multiplying by 1 mΩ yields 50 μV.

Note that this is not the maximum possible coupling. It is very likely in this case, that the electric-field coupling or magnetic-field coupling will dominate. 

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