[Solved] Which of the following is the correct formula to estimate the impedance Z0 of a microstrip trace? - Ans: Z0 = (87 / sqrt(Er + 1.41)) * ln(5.98 * H / (0.8 * W + T)) | PCB Design

PCB Design - Advanced Routing Techniques

Which of the following is the correct formula to estimate the impedance Z0 of a microstrip trace?

AZ0 = (120 * pi) / (sqrt(Er) * (W + T))

BZ0 = (60 / sqrt(Er)) * ln(4 * H / W)

CZ0 = (87 / sqrt(Er + 1.41)) * ln(5.98 * H / (0.8 * W + T))

DZ0 = (50 * H) / (W * sqrt(Er))

Step-by-Step Solution

Solution:

Step 1: Recall microstrip impedance formula
The common microstrip impedance formula includes constants and logarithmic terms with dielectric constant (Er), height (H), width (W), and thickness (T).
Step 2: Match formula to known standard
Z0 = (87 / sqrt(Er + 1.41)) * ln(5.98 * H / (0.8 * W + T)) matches the widely accepted formula for microstrip impedance calculation.
Final Answer:
Z0 = (87 / sqrt(Er + 1.41)) * ln(5.98 * H / (0.8 * W + T)) -> Option C
Quick Check:
Microstrip impedance formula = Z0 = (87 / sqrt(Er + 1.41)) * ln(5.98 * H / (0.8 * W + T)) [OK]

Quick Trick: Use standard microstrip formula with ln and sqrt [OK]

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Which of the following is the correct formula to estimate the impedance Z0 of a microstrip trace?