Impedance-controlled traces in PCB Design - Cell-by-Cell Formula Trace

Sample Data

Sample PCB trace parameters: width, dielectric height, dielectric constant, and impedance to be calculated.

Cell	Value
A1	Trace Width (mil)
B1	Dielectric Height (mil)
C1	Dielectric Constant
D1	Impedance (Ohms)
A2	10
B2	5
C2	4.5
D2
A3	15
B3	5
C3	4.5
D3
A4	20
B4	5
C4	4.5
D4

Formula Trace

Impedance = (87 / sqrt(Dielectric Constant + 1.41)) * ln(5.98 * Dielectric Height / (0.8 * Trace Width + Thickness))

Step 1: sqrt(C2 + 1.41)

Step 2: 87 / 2.43

Step 3: 0.8 * A2 + Thickness

Step 4: 5.98 * B2 / 9.4

Step 5: ln(3.18)

Step 6: 35.8 * 1.16

Cell Reference Map

    A       B       C       D
1 |Width |Height |Diel.  |Imp.  |
2 | 10   |  5    | 4.5   |      |
3 | 15   |  5    | 4.5   |      |
4 | 20   |  5    | 4.5   |      |

Arrows: D2 depends on A2, B2, C2, and Thickness (constant 1.4)

Impedance in D2 is calculated using trace width (A2), dielectric height (B2), dielectric constant (C2), and a fixed thickness value.

Result

    A       B       C       D
1 |Width |Height |Diel.  |Imp.  |
2 | 10   |  5    | 4.5   |41.53 |
3 | 15   |  5    | 4.5   |      |
4 | 20   |  5    | 4.5   |      |

The impedance for the first trace (row 2) is calculated as 41.53 Ohms using the formula.

Sheet Trace Quiz - 3 Questions

What is the result of sqrt(Dielectric Constant + 1.41) for C2=4.5?

A 2.43

B 3.91

C 1.41

D 4.5

Key Result

Impedance = (87 / sqrt(Dielectric Constant + 1.41)) * ln(5.98 * Dielectric Height / (0.8 * Trace Width + Thickness))

Practice

1. What is the main purpose of impedance-controlled traces in PCB design?

easy

A. To keep signals clear and reliable by controlling electrical impedance

B. To reduce the physical size of the PCB

C. To increase the number of layers in the PCB

D. To simplify the soldering process

Solution

1. Step 1: Understand signal integrity in PCB design

   Impedance-controlled traces help maintain signal quality by matching the trace impedance to the source and load.

2. Step 2: Identify the main goal of impedance control

   The goal is to keep signals clear and reliable by avoiding reflections and losses.

3. Final Answer:

   To keep signals clear and reliable by controlling electrical impedance -> Option A

4. Quick Check:

   Impedance control = signal clarity [OK]

Hint: Impedance control means matching signal path resistance [OK]

Common Mistakes:

• Confusing impedance control with PCB size reduction
• Thinking impedance control simplifies soldering
• Assuming it increases PCB layers

2. Which of the following is the correct way to describe the relationship between trace width and impedance in a PCB?

easy

A. Increasing trace width increases impedance

B. Increasing trace width decreases impedance

C. Trace width does not affect impedance

D. Trace width only affects impedance if the trace is longer than 10 cm

Solution

1. Step 1: Recall how trace width affects impedance

   Wider traces have lower impedance because they allow easier current flow.

2. Step 2: Confirm the inverse relationship

   As trace width increases, impedance decreases.

3. Final Answer:

   Increasing trace width decreases impedance -> Option B

4. Quick Check:

   Trace width ↑ -> Impedance ↓ [OK]

Hint: Wider trace means lower impedance [OK]

Common Mistakes:

• Thinking wider trace increases impedance
• Ignoring trace width effect on impedance
• Assuming length alone controls impedance

3. Given a PCB trace with a width of 0.3 mm and a height of 0.035 mm, which of the following statements about its impedance is most likely true?

medium

A. Impedance depends only on trace length, not width or height

B. The impedance is lower than a trace with 0.5 mm width

C. The impedance is the same regardless of width

D. The impedance is higher than a trace with 0.5 mm width

Solution

1. Step 1: Compare trace widths and their effect on impedance

   A narrower trace (0.3 mm) has higher impedance than a wider trace (0.5 mm).

2. Step 2: Understand height's minor role here

   Height is constant, so width mainly affects impedance.

3. Final Answer:

   The impedance is higher than a trace with 0.5 mm width -> Option D

4. Quick Check:

   Narrower width -> higher impedance [OK]

Hint: Narrower trace means higher impedance [OK]

Common Mistakes:

• Assuming impedance is same regardless of width
• Believing length controls impedance only
• Ignoring width effect on impedance

4. A designer calculates the impedance of a PCB trace but gets a value that is too low compared to the target. Which of the following is the most likely error?

medium

A. Ignoring the dielectric constant of the PCB material

B. Using a trace height smaller than specified

C. Using a trace width larger than specified

D. Calculating impedance based on trace length only

Solution

1. Step 1: Understand how trace width affects impedance

   Larger trace width lowers impedance.

2. Step 2: Identify why impedance is too low

   If impedance is too low, the trace width is likely larger than intended.

3. Final Answer:

   Using a trace width larger than specified -> Option C

4. Quick Check:

   Too low impedance = trace too wide [OK]

Hint: Too low impedance? Check if trace is too wide [OK]

Common Mistakes:

• Blaming trace height without checking width
• Ignoring dielectric constant effects
• Focusing only on trace length

5. You need to design a PCB trace with a target impedance of 50 ohms. The PCB material has a dielectric constant of 4.5, and the trace height is fixed at 0.035 mm. Which approach will best help you achieve the target impedance?

hard

A. Adjust the trace width using impedance calculation formulas or simulation tools

B. Change the trace length until the impedance matches 50 ohms

C. Increase the number of PCB layers to reduce impedance

D. Use a wider trace without calculation to lower impedance

Solution

1. Step 1: Recognize fixed parameters and target

   Dielectric constant and trace height are fixed; target impedance is 50 ohms.

2. Step 2: Use formulas or tools to adjust trace width

   Adjusting trace width with calculations or simulation is the correct way to meet target impedance.

3. Step 3: Understand why other options fail

   Trace length affects delay, not impedance; layers affect other factors; guessing width without calculation is unreliable.

4. Final Answer:

   Adjust the trace width using impedance calculation formulas or simulation tools -> Option A

5. Quick Check:

   Use formulas to set width for target impedance [OK]

Hint: Calculate width precisely to hit impedance target [OK]

Common Mistakes:

• Trying to change trace length to fix impedance
• Adding layers instead of adjusting width
• Guessing width without calculation