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A PCB designer wrote the formula Z0 = (87 / sqrt(Er + 1.41)) * ln(5.98 * H / (0.8 * W - T)) but the impedance values are incorrect. What is the likely error?

medium📝 Formula Fix Q6 of 15
PCB Design - Advanced Routing Techniques
A PCB designer wrote the formula Z0 = (87 / sqrt(Er + 1.41)) * ln(5.98 * H / (0.8 * W - T)) but the impedance values are incorrect. What is the likely error?
AUsing ln instead of log10
BUsing subtraction instead of addition in denominator
CMissing sqrt around Er
DIncorrect constant 87 instead of 60
Step-by-Step Solution
Solution:
  1. Step 1: Identify formula error

    The denominator should be (0.8 * W + T), not (0.8 * W - T).
  2. Step 2: Understand impact of subtraction

    Subtraction reduces denominator, inflating ln value and causing wrong impedance results.
  3. Final Answer:

    Using subtraction instead of addition in denominator -> Option B
  4. Quick Check:

    Denominator sign error = Wrong impedance [OK]
Quick Trick: Use plus sign in denominator, not minus [OK]
Common Mistakes:
MISTAKES
  • Confusing addition and subtraction in formula
  • Changing constants without reason
  • Using wrong logarithm base

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