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Extract Crss line values

Exract the Crss line from this chart showing values at each tick mark
Extract Crss line values from chart image
The user uploaded an image and wants me to extract the "Crss" line (probably a line labeled "Crss" in a chart) with values at each tick mark. Let me first read the image file to see it.
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image.png
Trace Bottommost C_rss Curve in Image
This is a "Typical Junction Capacitance" chart (Figure 10) from a MOSFET datasheet. It shows three capacitance curves vs drain-source voltage:
  • C_iss (input capacitance) — top curve, roughly flat ~300 pF
  • C_oss (output capacitance) — middle curve
  • C_rss (reverse transfer capacitance) — bottom curve
The user wrote "Crss line" — they want the C_rss (reverse transfer capacitance) line extracted with values at each tick mark of V_DS (0, 5, 10, 15, 20, 25, 30 V).
The chart is log-scale on Y axis (1, 10, 100, 1000 pF) and linear X axis 0-30 V.
I need to extract the C_rss values at each tick mark. The C_rss curve starts near 0 V at maybe ~100 pF (it appears C_oss and C_rss both start high near V=0; at V=0, C_rss looks like it starts around 60-100 pF... actually looking at the chart, the C_rss line drops steeply from about 100 pF at low voltage, crosses ~10 pF around 5-7 V, and ends around 5 pF at 30 V).
Let me carefully analyze the image with Python to extract pixel coordinates of the C_rss curve and map them to chart coordinates.
This looks like the IRF540 or similar MOSFET datasheet Figure 10. Actually, this is likely from IRFP260N or IRF540N datasheet. The typical junction capacitance figure appears in many IR datasheets. Let me just extract from the image itself.
Plan:
  1. Load image with Python, identify plot area (axes boundaries).
  2. Calibrate: X axis 0-30 V linear; Y axis log scale 1-1000 pF.
  3. Find gridlines to calibrate precisely.
  4. Extract the C_rss curve (lowest curve) pixels.
  5. Sample at x tick marks (0, 5, 10, 15, 20, 25, 30 V).
  6. Convert to pF values.
Let me do image processing. The image is 480x382 approximately. Let me analyze.
First, load and find the axes. The plot area: left axis around x=95 px? Let me compute programmatically.
I'll use OpenCV/PIL to detect lines. Let me write code.
Steps:
  • Read image, convert to grayscale, threshold dark pixels.
  • Find long vertical/horizontal lines to determine plot box.
  • Calibrate x: find x pixel of "0" tick (y-axis) and "30" tick (right edge).
  • Calibrate y: find y pixels for 1, 10, 100, 1000 gridlines (major lines).
  • For C_rss: the bottom curve. At each target x pixel, scan vertically for dark pixels below the C_oss curve region, excluding the x-axis labels and text "C_rss".
There's a text label "C_rss" around y corresponding to ~6 pF region near x=15-17 V. That could interfere. I need to be careful.
Alternative: trace the curve by following it. The C_rss curve is the lowest continuous curve. At each column, find dark pixels that belong to the bottommost curve (above the axis box).
Let me start by examining the image dimensions and finding the plot box.
I'll extract the C_rss (reverse transfer capacitance) curve from this chart. Let me analyze the image carefully.
Выполнить код Python
Locate Plot Box and Gridlines in Image Using Thresholding Analysis
The plot box: left axis at x=105, and there should be a right edge. Col 311 has many dark pixels — that might be the "15" gridline region or a major vertical gridline. Let me look more carefully. Rows: 30 (top, 1000 line?), 35, 40... The bottom axis is probably row 309/310.
Let me find the plot box by looking at the extent of the grid. Let me lower thresholds and find vertical gridlines at 0,5,10,...,30.
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Adjust Gridline Threshold to 180 for Better Plot Visibility
Only two strong vertical lines: x=105 (left axis) and x=311. That's odd. The right edge of the plot should be around x=410 or so. Let me check with lower threshold. Maybe gridlines are lighter (gray) — threshold of 100 too strict. Let me use a higher threshold like <180.
Выполнить код Python
Determine y-coordinate from trace using C_rss and gridline sampling
Now I can see the structure:
Vertical gridlines (x-axis ticks 0, 5, 10, 15, 20, 25, 30):
  • x=105/106 → 0 V
  • x=156/157 → 5 V
  • x=208/209 → 10 V
  • x=259/260 → 15 V
  • x=311 → 20 V
  • x=362/363 → 25 V
  • x=414/415 → 30 V
So x pixel = 105.5 + (V/5)*51.5 approx. Spacing: (414.5-105.5)/30 = 309/30 = 10.3 px/V. Check: 105.5 + 51.5 = 157 ✓, +51.5 = 208.5 ✓, 260 ✓, 311.5 ✓, 363 ✓, 414.5 ✓.
Horizontal lines: y=25/26 is likely the top frame (1000 pF). Bottom frame y=309/310 is 1 pF.
Major decade lines: 1000 at y≈25.5, 100 at y≈120-121?, 10 at y≈215?, 1 at y≈309.5. Let's check: log scale, 3 decades between 1 and 1000. y(1000)=25.5, y(1)=309.5. Decade height = (309.5-25.5)/3 = 94.67 px. So y(100) = 25.5 + 94.67 = 120.2 ✓ (matches 120/121), y(10) = 214.8 ✓ (matches 215).
So mapping: log10(C) = (309.5 - y)/94.67.
Now extract the C_rss curve — the lowest of the three curves. At each x tick, scan the column for dark pixels (strict threshold, curves are black) between the top frame and bottom frame, and find the curve closest to the bottom (but above the axis at y=309). But also the text label "C_rss" is around x≈290-310 px, y≈270? Let me check where the text is. The label "C_rss" appears near 15-17 V at about y=270ish in the image (value ~6 pF region). The curve at 15 V is around 8 pF? Actually from the chart, C_rss at 15 V ≈ 8 pF → y ≈ 309.5 - 94.67*log10(8) = 309.5 - 85.5 = 224. Hmm wait, at 15 V the curve looks like ~8 pF, y≈224. The "C_rss" text label is at around y≈270 (below the curve, ~5 pF?). Let me just visualize the dark pixel distribution per column to trace the curves.
Better approach: for each column x, find dark pixels (strict threshold <100) within plot area (y from 27 to 308). Curves are thick black lines. At tick columns, the vertical gridlines are gray (<180 but maybe >100?). Gridlines appeared at threshold <180 but with strict <100 only x=105 and x=311 showed — those are darker (left axis and... x=311 is 20V line which appears darker, maybe it's drawn darker). Hmm, at exactly the tick columns there may be dark gridline pixels interfering. I can sample slightly off the tick (e.g., average over a small window excluding the gridline columns, or interpolate the curve trace from neighboring columns).
Plan: trace the bottom curve for all columns, then read values at tick x positions (using nearby columns if gridline interferes).
To trace bottom curve: for each column, among dark pixels with y in [28, 307], take the ones belonging to the lowest curve. But the x-axis frame at y≈309 is excluded. Also axis labels/text inside plot: "f = 1MHz" at top-left, "C_iss" text around x≈275-300, y≈104; "C_oss" text around x≈280-300, y≈205; "C_rss" text around x≈290-312, y≈270. These texts will interfere in columns 275-315.
Strategy: trace using continuity. Start from right side (x=414, 30V) where curve ~5 pF, y≈243. Move left; at each column pick dark pixel closest to previous y. Skip text regions by continuity preference — but text "C_rss" is below the curve, distance ~40px; continuity should keep us on the curve.
Alternatively: for the bottom curve, at each column take the maximum y (lowest) dark pixel that is part of a continuous curve... but text is below the curve in that region, so max-y would jump to text. Continuity tracking is better.
Let me first print dark pixel y-ranges per column at the tick positions to see what's there. Also visualize a crop.
Let me do the trace:
  • For each column x in [106, 414], get ys of dark pixels (strict) in y range [28, 306].
  • Initialize at x=414: expected C_rss ≈ 5 pF → y ≈ 309.5 - 94.67*log10(5) = 309.5 - 66.2 = 243.3.
  • Move leftward, pick candidate y closest to prev y (within some max jump, say 8 px).
  • Also handle that curves are ~3 px thick; take mean of contiguous cluster.
Then sample at tick columns; if column is a dark gridline (x=311), use neighbors.
Let me also verify by plotting the trace overlay on the image.
Выполнить код Python
Visualize Trace Data Around 290–312 to Confirm Smoothness
The trace gives values. But at V=0, the curve value 42 pF — looking at the chart, near V=0 the C_rss curve rises steeply; right at x=0 the line appears to go up to ~100 pF. Actually, looking at the image, both C_oss and C_rss start around 100 pF at V near 0. The steep drop happens between 0 and 1 V. At exactly the y-axis (x=105-106), the axis line itself interferes. My window of ±3 px around x=105.5 sampled x=103..108 — but the plot starts at x=106, so samples were 106,107,108,109 area... wait X_L=106. xs would be [106,107,108] plus maybe 103-105 not in trace. At x=106-108, curve y=155 → 42 pF. Hmm, but visually at V=0, the curve seems to start higher (~60-100 pF). The near-vertical part of the curve is right at the axis.
Let me check what the trace looks like near the left edge, and verify overall by overlaying the trace on the image. Also verify the C_rss label text didn't corrupt the trace around x≈290-312 (15-20 V region). Values at 15/20 V (7.1, 6.0) look smooth and plausible.
Let me visualize to double-check.
Trace obtained. Let me verify it visually against the original chart:
Выполнить код Python
tool result image 1
Report Approximate 40 pF at 0 V with Near‑Vertical Curve Near Origin
The red trace follows the C_rss curve well across the whole range. Near V=0 the curve rises steeply — at x=106 (basically V≈0.05), y=152.5 → ~45 pF. But visually, at V=0 the curve seems to start near ~60-70 pF (the steep segment goes up to where it nearly merges with C_oss at ~100 pF right at the axis). The axis line itself is at x=105-106, so the very start is ambiguous. The curve at V=0 is essentially the vertical segment; the trace at the leftmost readable columns gives ~40-45 pF.
Looking at the chart again: the C_rss line near V=0 — the steep part goes up to about the 60-100 pF region right at x=0. Honestly, the value "at 0 V" from a log plot's steep segment is roughly ~100 pF where it merges, but the readable value just right of the axis is ~40 pF. Hmm.
Actually wait — looking at the overlay image, the red trace at the left edge follows a curve that at x≈106-108 is at y≈152-157 (40-45 pF). Above that, the curve continues steeply upward very close to the y-axis (x≈105) up to y≈120 (100 pF) where it merges with C_oss start. Since the axis line occupies x=105-106, the top of the steep segment is hidden behind the axis. So at V_DS = 0 exactly, the curve isn't really readable; the datasheet curve effectively starts around ~0.1-0.2 V.
For the tick at 0 V, I should report the value as read near the origin. The trace at the leftmost columns reads ~40-45 pF. But visually the line at the axis appears to go up to ~100 pF. This is a known ambiguity. Many of these datasheets (this looks like the IRFZ44N or IRF3205 Figure 10 — actually with C_iss ~300 pF at 30V... hmm, C_iss ~1700? No, this one has C_iss ≈ 300 pF, C_oss ≈ 60→10 pF... This looks like a small MOSFET, maybe 2N7000? No — 2N7000 datasheet Figure 10 "Typical Junction Capacitance"! Yes, this is from the 2N7000/BS170 datasheet. For 2N7000: C_iss ~ 50 pF... hmm no. Whatever the part, extraction stands on its own.)
Given the steep drop, the honest approach: report the extracted values and note that at 0 V the curve is nearly vertical, so the reading there is approximate (~40-60 pF right at the origin, rising toward ~100 pF where it merges with the axis).
Actually, let me reconsider the 0 V reading. Let me look at columns 106-110 more carefully — maybe the trace locked onto the steep segment correctly. y=152.5 at x=106 → 45 pF. The windowed median gave 42 pF. I'll report ≈ 40 pF at 0 V with a caveat, or I could report "~40 pF (curve is near-vertical at the origin; rises toward ~100 pF right at the axis)".
Hmm, but is that right? Let me zoom into the top-left corner to see the curve near origin.
The trace tracks the C_rss curve cleanly. Let me zoom into the origin region, where the curve is nearly vertical, to pin down the 0 V reading:
Выполнить код Python
tool result image 1
Provide extracted values in a concise table
Now I can see the origin region clearly. Both C_oss and C_rss emanate from near the top of the y-axis (~100 pF at y≈120) right at x≈105-107. The two curves split: C_oss (upper) and C_rss (lower). The C_rss curve at x=106 (V≈0.05V) is the cluster around y=149-158 (the lower curve) → the trace picked y≈152.5 → ~45 pF. But truly at V=0 (x=105, the axis), the curve comes down from ~100 pF (y≈120-130).
So at exactly V_DS = 0, the curve is essentially vertical from ~100 pF down. The first readable point just off the axis is ~40-45 pF at ~0.1-0.2 V. The steep segment: at x=107 the lower cluster is y≈151-158 (~40-44 pF), at x=108 y≈154-161 (~36-42)...
So for the tick at 0 V, honest reporting: the curve drops almost vertically at the origin from ≈100 pF; the readable value immediately right of 0 V is ≈40 pF. I'll note this. Or simply report the value at the 0 tick as ~40 pF with a footnote. Actually, many would read "value at 0" as where the curve meets the axis, which is ambiguous (spans 40-100). I'll report ≈40 pF at the first readable point and note the near-vertical rise to ~100 pF right at the axis.
Hmm, actually let me reconsider. Looking at the zoom: at x=106-107, the lower curve's cluster is at y≈149-158, i.e., center ~153-154 → ~44 pF. The near-vertical segment connecting y≈130 to y≈150 happens within x=105-107, i.e., within ~0.15 V. So "at V_DS = 0" the plotted line effectively spans the axis; a reasonable single number to quote is ~40 pF (just off zero) — but the chart shows the line touching ~100 pF at V=0.
For practical datasheet-extraction purposes, I'll give the table with the 0 V value marked as ≈40 pF (near-vertical at origin; curve emerges from ~100 pF at the axis). Alternatively I can give a range 40–100. Let me present the final table:
V_DS: 0 → ~40 pF (steep; see note) 5 → 12 pF 10 → 8.7 ≈ 9 pF 15 → 7.1 ≈ 7 pF 20 → 6.0 pF 25 → 5.4 ≈ 5.5 pF 30 → 4.9 ≈ 5 pF
Let me double-check the values at 5 V and elsewhere against gridlines. At 5 V (x≈156.5), y≈206.5 → log = (309.5-206.5)/94.67 = 1.088 → 12.2 pF. From the chart, at 5 V the C_rss curve is just above the 10 pF line — consistent.
At 10 V: y=220.5 → 8.7 pF. Chart shows ~9 pF at 10 V. Good. At 30 V: y=244 → 4.9 pF. Chart shows just under 5 pF at 30. Good.
Should I deliver a file? The user just asked to extract values — a table in the reply suffices. Maybe also offer a CSV? The instruction says don't create files unless asked. A concise table response is appropriate. The user's ask is simple. I'll present the table plus brief notes on method/uncertainty. No file needed.
Rounding: I'll give one decimal or round numbers typical of datasheet reading: 40 (0 V, approximate), 12, 9, 7, 6, 5.4, 5 pF.
Format: a small markdown table, with a note about the 0 V steep region and that values are read from a log scale (±~5-10% uncertainty). Keep it concise.
Here's the C_rss (reverse transfer capacitance) line extracted at each V_DS tick mark:
Таблица
Копировать
V_DS (V)C_rss (pF)
0≈ 40 *
5≈ 12
10≈ 8.7
15≈ 7.1
20≈ 6.0
25≈ 5.4
30≈ 4.9
Notes on the extraction:
  • Values were digitized from the log-scale y-axis (1–1000 pF) against the linear 0–30 V x-axis, tracing the bottom curve; reading accuracy is roughly ±5–10% due to line thickness and image resolution.
  • *At 0 V the curve is nearly vertical — it plunges from ~100 pF right at the axis and passes through ~40 pF within the first fraction of a volt, so that point is the least certain. From ~5 V onward the curve flattens out and readings are reliable.
  • For reference, the curve behaves roughly as C_rss ≈ 5 pF at high voltage (25–30 V), which is consistent with the typical C_rss rating found in small-signal MOSFET datasheets of this style.