FF Equivalent
75mm
Angle of View
39.6°
Full Frame
50mm
APS-C
75mm
MFT
100mm
1-inch
135mm
What is Focal Length Equivalent (Crop Factor)?
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फोकल लांबी समतुल्य कॅल्क्युलेटर लेन्सची वास्तविक फोकल लांबी त्याच्या 35 मिमी पूर्ण-फ्रेम समतुल्य मध्ये रूपांतरित करते, कॅमेरा सेन्सरच्या क्रॉप घटकासाठी खाते. वेगवेगळ्या कॅमेरा सेन्सरचे भौतिक आकार वेगवेगळे असतात — एक पूर्ण-फ्रेम सेन्सर 36 × 24 मिमी (35 मिमी फिल्म फ्रेम प्रमाणेच) मोजतो, तर APS-C सेन्सर (Canon EF-S, Nikon DX, Sony E APS-C) अंदाजे 22-24 × 15 मिमी मोजतात. आणि तिसरे F3 मिमी, आणि तिसरे मि.मी. 13 मिमी. कारण एक लहान सेन्सर त्याच लेन्समधून दृश्याचा अरुंद कोन कॅप्चर करतो, तो स्पष्ट फोकल लांबी प्रभावीपणे गुणाकार करतो. या गुणकाला क्रॉप फॅक्टर (किंवा फोकल लेंथ गुणक) म्हणतात. उदाहरणार्थ, Canon APS-C कॅमेऱ्यावरील 50mm लेन्स (क्रॉप फॅक्टर 1.6×) पूर्ण-फ्रेम कॅमेऱ्यावरील 80mm लेन्सप्रमाणेच दृश्य क्षेत्र प्रदान करते. छायाचित्रकारांसाठी ही संकल्पना महत्त्वाची आहे जे कॅमेरा सिस्टीममध्ये स्विच करतात, लेन्स भाड्याने घेतात किंवा उधार घेतात, उत्पादकांमधील फोकल लांबीची तुलना करतात किंवा विशिष्ट सर्जनशील हेतूंसाठी (पोर्ट्रेट, लँडस्केप, मॅक्रो) लेन्स निवडतात. फील्ड ऑफ व्ह्यू व्यतिरिक्त, क्रॉप फॅक्टर फील्डच्या उघड खोलीवर परिणाम करतो — APS-C वरील 50mm f/1.8 लेन्स फुल-फ्रेमवर 80mm च्या समतुल्य व्ह्यू फील्ड देते, परंतु फील्डची खोली मूळ सेन्सरवर f/1.8 वर 50mm समतुल्य राहते, याचा अर्थ पूर्ण फ्रेम 0mm पेक्षा पूर्ण-शैलो 80mm दिसते. फ्रेमिंग पार्श्वभूमी वेगळे करू पाहणाऱ्या पोर्ट्रेट फोटोग्राफर आणि सिनेमॅटोग्राफरसाठी हा फरक खूप महत्त्वाचा आहे. कॅल्क्युलेटर 35mm फुल-फ्रेम, APS-H, APS-C (Canon, Nikon/Sony, Fujifilm), मायक्रो फोर थर्ड्स, 1-इंच, 1/2.3-इंच आणि मध्यम स्वरूपासह सर्व प्रमुख सेन्सर फॉरमॅटला सपोर्ट करतो.
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सूत्र
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35 मिमी समतुल्य फोकल लांबी = वास्तविक फोकल लांबी × क्रॉप फॅक्टर
क्रॉप फॅक्टर = फुल-फ्रेम सेन्सरचा कर्ण / कॅमेरा सेन्सरचा कर्ण
सेन्सर कर्ण = √(रुंदी² + उंची²)
क्रॉप फॅक्टर (FF) = √(36² + 24²) / √(sensor_width² + sensor_height²)Variable Legend
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| प्रतीक | नाव | एकक | वर्णन |
|---|---|---|---|
| FL_eq | 35 मिमी समतुल्य फोकल लांबी | mm | पूर्ण-फ्रेम कॅमेऱ्यावरील फोकल लांबी जो दृश्याचा समान कोन तयार करतो. |
| FL_act | वास्तविक फोकल लांबी | mm | लेन्स बॅरलवर चिन्हांकित केल्याप्रमाणे लेन्सची खरी फोकल लांबी. |
| CF | पीक घटक | × | पूर्ण-फ्रेम सेन्सर कर्ण आणि कॅमेरा सेन्सर कर्णाचे गुणोत्तर. FF पेक्षा लहान सेन्सरसाठी नेहमी ≥1; मध्यम स्वरूपासाठी <1. |
| AOV | दृश्य कोन | degrees | लेन्स-सेन्सर संयोजनाद्वारे कॅप्चर केलेल्या दृश्याची टोकदार व्याप्ती, तिरपे मोजली जाते. |
How to Focal Length Equivalent (Crop Factor)
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- 1पायरी 1: तुमच्या कॅमेऱ्याचा सेन्सर फॉरमॅट ओळखा आणि त्याचे क्रॉप फॅक्टर पहा किंवा त्याची गणना करा. फुल-फ्रेम = 1.0×, Canon APS-C = 1.6×, Nikon/Sony APS-C = 1.5×, मायक्रो फोर थर्ड्स = 2.0×.
- 2पायरी 2: तुमच्या लेन्स बॅरलवर छापलेली वास्तविक फोकल लांबी लक्षात घ्या (उदा. 35 मिमी प्राइम लेन्ससाठी 35 मिमी).
- 3पायरी 3: गुणाकार: 35 मिमी समतुल्य = वास्तविक फोकल लांबी × क्रॉप फॅक्टर. 1.5× APS-C कॅमेऱ्यावर 35mm लेन्स = 35 × 1.5 = 52.5mm समतुल्य.
- 4पायरी 4: दृश्य कोनासाठी: AOV = 2 × आर्कटान(सेन्सर_डायगोनल / (2 × फोकल_लांबी)). 43.3mm च्या पूर्ण-चौकट कर्ण सह समतुल्य फोकल लांबी वापरून सिस्टम दरम्यान तुलना करा.
- 5पायरी 5: विशिष्ट पूर्ण-फ्रेम फोकल लांबीशी जुळण्यासाठी क्रॉप सेन्सरवर आवश्यक लेन्स शोधण्यासाठी: आवश्यक लेन्स = लक्ष्य 35 मिमी समतुल्य / क्रॉप फॅक्टर. MFT (2×) वर 50mm FF लेन्स जुळण्यासाठी: 25mm लेन्सची आवश्यकता आहे.
Worked Examples
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50 × 1.5 = 75 मिमी. 50mm लेन्स Nikon DX बॉडीवर लहान पोर्ट्रेट टेलीफोटोप्रमाणे वागते, क्लासिक 'सामान्य' दृष्टीकोन कमी करते.
12 × 2.0 = 24 मिमी. Olympus 12mm f/2.0 ही एक लोकप्रिय स्ट्रीट लेन्स आहे जी मध्यम रुंद 24mm पूर्ण-फ्रेम दृष्टीकोन प्रदान करते.
100 × 1.6 = 160mm. The APS-C crop gives extra reach, effectively making this a long portrait telephoto on the crop body.
28 / 2.0 = 14mm. To achieve a 28mm wide-angle field of view on a MFT camera, use a 14mm lens — such as the Panasonic Lumix G 14mm f/2.5.
Real-World Applications
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Electrical engineers in power distribution companies use Focal Length Equivalent to size conductors, calculate voltage drop across long cable runs, and verify that circuit breaker ratings provide adequate protection against fault currents in residential, commercial, and industrial installations.
Electronics design engineers apply Focal Length Equivalent during printed circuit board layout to determine trace widths for required current capacity, calculate impedance matching for high-speed signal traces, and verify thermal dissipation in surface-mount components under worst-case operating conditions.
Maintenance technicians in manufacturing plants use Focal Length Equivalent to troubleshoot motor control circuits, verify transformer tap settings, and calculate expected current draws when commissioning variable frequency drives and programmable logic controller systems.
Renewable energy system designers rely on Focal Length Equivalent to size solar panel arrays, calculate battery bank capacity for off-grid installations, and determine inverter ratings that match the expected peak and continuous load demands of residential and commercial photovoltaic systems.
Special Cases
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ओपन सर्किट किंवा अनंत प्रतिकार
In practice, this edge case requires careful consideration because standard assumptions may not hold. When encountering this scenario in focal length equivalent calculations, practitioners should verify boundary conditions, check for division-by-zero risks, and consider whether the model's assumptions remain valid under these extreme conditions.
शॉर्ट सर्किट स्थिती
In practice, this edge case requires careful consideration because standard assumptions may not hold. When encountering this scenario in focal length equivalent calculations, practitioners should verify boundary conditions, check for division-by-zero risks, and consider whether the model's assumptions remain valid under these extreme conditions.
प्रतिक्रियात्मक घटक वर्चस्व
In practice, this edge case requires careful consideration because standard assumptions may not hold. When encountering this scenario in focal length equivalent calculations, practitioners should verify boundary conditions, check for division-by-zero risks, and consider whether the model's assumptions remain valid under these extreme conditions.
Crop Factor Reference by Sensor Format
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| Sensor Format | Sensor Size (mm) | पीक घटक | Common Cameras |
|---|---|---|---|
| मध्यम स्वरूप (टप्पा पहिला) | ५३.७ × ४०.४ | 0.78× | Phase One IQ4, Fujifilm GFX 100 |
| Full Frame (35mm) | 36 × 24 | 1.0× | Sony A7 series, Nikon Z6/Z7, Canon EOS R |
| APS-H (Canon) | २७.९ × १८.६ | 1.3× | Canon EOS-1D (legacy) |
| APS-C (Nikon/Sony) | 23.5 × 15.7 | १.५× | Nikon Z50, Sony A6600, Fujifilm X-T5 |
| APS-C (Canon) | 22.3 × 14.9 | 1.6× | Canon EOS 90D, Canon M series |
| सूक्ष्म चार तृतीयांश | १७.३ × १३.० | 2.0× | Olympus OM-D, Panasonic Lumix G |
| 1-इंच | १३.२ × ८.८ | 2.7× | Sony RX100 series, Nikon Z30 |
| 1/1.7-इंच | ७.६ × ५.७ | 4.5× | Canon S120, Ricoh GR (compact) |
| 1/2.3-इंच (स्मार्टफोन) | ६.२ × ४.७ | 5.6× | Most smartphones, action cameras |
Frequently Asked Questions
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Does crop factor affect depth of field?
Crop factor affects apparent depth of field when comparing equivalent framing. To get the same framing and same depth of field as a 50mm f/1.8 on full-frame, you need a 33mm f/1.2 on a 1.5× APS-C camera. The crop sensor lens achieves the equivalent DOF by opening up the aperture proportionally. In practice, crop sensors offer inherently greater depth of field for the same equivalent field of view.
Is a 50mm lens still a 'normal' lens on a crop sensor?
No — the 'normal' focal length corresponds to the diagonal of the sensor. Full-frame sensors have a 43.3mm diagonal, so ~50mm is considered 'normal.' On an APS-C camera (diagonal ~27mm), a 'normal' lens would be ~28mm. A 50mm on APS-C is a short telephoto equivalent (~75–80mm), with slightly compressed perspective.
Does focal length equivalence apply to aperture?
For exposure calculations, no — aperture f-stops determine exposure the same regardless of sensor size. However, for depth-of-field equivalence, you must multiply the aperture by the crop factor. An f/2.8 lens on a 2× MFT sensor provides depth of field equivalent to f/5.6 on full-frame, even though the exposure is the same as f/2.8.
How do I calculate crop factor without looking it up?
To use Focal Length Equivalent, enter the required input values into the designated fields — these typically include the primary quantities referenced in the formula such as rates, amounts, time periods, or physical measurements. The calculator applies the standard mathematical relationship to transform these inputs into the output metric. For best results, verify that all inputs use consistent units, double-check values against source documents, and review the output in context. Running the calculation with slightly different inputs helps reveal which variables have the greatest impact on the result.
Is the 35mm equivalent useful for video as well as stills?
Yes, but many video cameras use different crop factors for video vs. stills modes. Some cameras crop further during 4K recording (e.g., the Canon 5D Mark IV crops to approximately 1.74× in 4K vs. 1.0× for stills). Always check your camera's video crop specifications and apply the correct multiplier for the mode you're shooting.
Common Mistakes to Avoid
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- !Applying crop factor to the aperture f-number for exposure calculations — aperture exposure is the same regardless of sensor size.
- !Using the wrong crop factor — Canon APS-C is 1.6×, Nikon/Sony APS-C is 1.5×; they are not interchangeable.
- !Assuming 4K video uses the same crop as stills mode — many cameras apply an additional video crop.
- !Forgetting that medium format sensors have a crop factor below 1.0 (widening effect vs. full-frame).
Pro Tip
When buying lenses for a crop sensor camera, consider your future upgrade path. 'Full-frame compatible' lenses (like Nikon FX or Sony FE) can be used without crop factor on future full-frame upgrades, while crop-only lenses (Nikon DX, Sony E APS-C) will project a vignette circle on a full-frame sensor.
Did you know?
The 35mm film format itself is named after the total height of the film strip including sprocket holes (35mm), while the actual image area is 36 × 24mm — the reference standard for the 'full-frame' concept in digital photography.
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