{"id":3533,"date":"2026-10-22T05:56:14","date_gmt":"2026-10-22T05:56:14","guid":{"rendered":"https:\/\/skygyan.tech\/?p=3533"},"modified":"2026-10-22T05:56:14","modified_gmt":"2026-10-22T05:56:14","slug":"ecn-lab-experiment-to-verify-the-maximum-power-transfer-theorem","status":"publish","type":"post","link":"https:\/\/skygyan.tech\/index.php\/2026\/10\/22\/ecn-lab-experiment-to-verify-the-maximum-power-transfer-theorem\/","title":{"rendered":"ECN Lab Experiment: To verify the Maximum Power Transfer Theorem"},"content":{"rendered":"\n

Object:<\/h1>\n\n\n\n

To verify the Maximum Power Transfer Theorem by varying the load resistance and observing the power delivered to the load.<\/p>\n\n\n\n

Apparatus Required:<\/h1>\n\n\n\n

Regulated DC power supply (12 V), resistors (1 k\u03a9 and suitable load-resistance decade box or resistors), digital multimeter(s), breadboard\/trainer board, connecting wires.<\/p>\n\n\n\n

Theory:<\/h1>\n\n\n\n

The Maximum Power Transfer Theorem states that a linear DC network delivers maximum power to a load when the load resistance equals the Thevenin resistance of the network as seen from the load terminals: RL = Rth. For a Thevenin source Vth in series with Rth, load current IL = Vth\/(Rth + RL), load voltage VL = IL \u00d7 RL, and load power PL = VL\u00b2\/RL = IL\u00b2RL.<\/p>\n\n\n\n

For AC networks, maximum average power transfer occurs when the load impedance is the complex conjugate of the Thevenin impedance. This experiment uses a resistive DC circuit.<\/p>\n\n\n\n

Circuit Diagram:<\/h1>\n\n\n\n
\"\"<\/figure>\n\n\n\n

Use a 12 V DC source with a 1 k\u03a9 series resistance and vary RL. The load voltage is measured across RL; load current may be measured in series or calculated from VL\/RL.<\/p>\n\n\n\n

Thevenin Equivalent:<\/h1>\n\n\n\n
\"\"<\/figure>\n\n\n\n

For this circuit, Vth = 12 V and Rth = 1 k\u03a9. Therefore, maximum power is expected when RL = 1 k\u03a9.<\/p>\n\n\n\n

Procedure:<\/h1>\n\n\n\n
    \n
  1. Keep the DC supply OFF while making connections. Assemble the circuit as shown in the diagram.<\/li>\n\n\n\n
  2. Set the regulated DC supply to 12 V and verify the polarity before switching it ON.<\/li>\n\n\n\n
  3. Set the load resistance RL to 500 \u03a9. Measure and record the voltage VL across the load.<\/li>\n\n\n\n
  4. Repeat the measurement for each RL value listed in the observation table.<\/li>\n\n\n\n
  5. For each reading, calculate IL = VL\/RL and PL = VL\u00b2\/RL. If current is measured directly, record it and use it to calculate PL = IL\u00b2RL.<\/li>\n\n\n\n
  6. Compare the calculated load power for all load resistances and identify the resistance at which power is maximum.<\/li>\n\n\n\n
  7. Switch OFF the supply before changing circuit connections.<\/li>\n<\/ol>\n\n\n\n

    Observation Table:<\/h1>\n\n\n\n

    Supply voltage Vs = 12 V; series resistance Rs = 1 k\u03a9. The table below contains theoretical\/expected values for guidance, not actual laboratory measurements.<\/p>\n\n\n\n

    S. No.<\/strong><\/td>Load RL (\u03a9)<\/strong><\/td>Load current IL (mA)<\/strong><\/td>Load voltage VL (V)<\/strong><\/td>Load power PL (mW)<\/strong><\/td><\/tr>
    1<\/td>500<\/td>8.00<\/td>4.00<\/td>32.00<\/td><\/tr>
    2<\/td>750<\/td>6.86<\/td>5.14<\/td>35.27<\/td><\/tr>
    3<\/td>1,000<\/td>6.00<\/td>6.00<\/td>36.00<\/td><\/tr>
    4<\/td>1,500<\/td>4.80<\/td>7.20<\/td>34.56<\/td><\/tr>
    5<\/td>2,200<\/td>3.75<\/td>8.25<\/td>30.94<\/td><\/tr>
    6<\/td>3,300<\/td>2.79<\/td>9.21<\/td>25.70<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    Sample Calculation (RL = 1 k\u03a9):<\/h1>\n\n\n\n

    IL = Vs\/(Rs + RL) = 12\/(1000 + 1000) = 0.006 A = 6 mA<\/p>\n\n\n\n

    VL = IL \u00d7 RL = 0.006 \u00d7 1000 = 6 V<\/p>\n\n\n\n

    PL = VL\u00b2\/RL = 6\u00b2\/1000 = 0.036 W = 36 mW<\/p>\n\n\n\n

    Result:<\/h1>\n\n\n\n

    Theoretical results show that the load receives maximum power when RL = Rth = 1 k\u03a9. At this point, VL = 6 V, IL = 6 mA, and PL = 36 mW. Verify this experimentally using measured readings.<\/p>\n\n\n\n

    Precautions:<\/h1>\n\n\n\n
      \n
    • Check all connections and polarity before switching ON the supply.<\/li>\n\n\n\n
    • Use the correct meter range and connect the voltmeter in parallel with RL.<\/li>\n\n\n\n
    • If measuring current directly, connect the ammeter in series; never connect an ammeter directly across the supply.<\/li>\n\n\n\n
    • Switch OFF the supply before changing the load resistance.<\/li>\n\n\n\n
    • Use resistors with suitable power ratings and avoid touching components that may become hot.<\/li>\n\n\n\n
    • Do not record theoretical values as measured observations.<\/li>\n<\/ul>\n\n\n\n

      Viva-Voce Questions:<\/h1>\n\n\n\n
        \n
      • State the Maximum Power Transfer Theorem.<\/li>\n\n\n\n
      • What is Thevenin resistance?<\/li>\n\n\n\n
      • What is the condition for maximum power transfer in a DC resistive circuit?<\/li>\n\n\n\n
      • What is the maximum load power for the circuit used in this experiment?<\/li>\n\n\n\n
      • How does load power change when RL is much smaller or much larger than Rth?<\/li>\n\n\n\n
      • State the maximum power transfer condition for AC circuits.<\/li>\n\n\n\n
      • Does maximum power transfer also mean maximum efficiency? Explain briefly.<\/li>\n<\/ul>\n\n\n\n

        Note: For a purely resistive Thevenin source, maximum power transfer occurs at RL = Rth. At this condition, the ideal source resistance dissipates the same power as the load, so efficiency is 50%.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Object: To verify the Maximum Power Transfer Theorem by varying the load resistance and observing the power delivered to the load. Apparatus Required: Regulated DC power supply (12 V), resistors (1 k\u03a9 and suitable load-resistance decade box or resistors), digital multimeter(s), breadboard\/trainer board, connecting wires. Theory: The Maximum Power Transfer Theorem states that a linear […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[1960,13,1956,1531,867,1307,1973,1952,1964,1011,1006,1563,1076,1005,1662,994,1008,1971,1972,1969,1968,1951,106,1032,1970,1955,1638,131,1953,1950,1957],"class_list":["post-3533","post","type-post","status-publish","format-standard","hentry","category-syllabus","tag-basicelectricalengineering","tag-bteup","tag-circuittheory","tag-diplomaengineering","tag-diplomastudents","tag-electricalengineering","tag-electricalexperiments","tag-electricallab","tag-electricalpracticals","tag-electronicsengineering","tag-electronicslab","tag-electronicspracticals","tag-engineeringeducation","tag-engineeringlab","tag-engineeringpractical","tag-engineeringstudents","tag-labmanual","tag-loadpower","tag-loadresistance","tag-maximumpowertransfer","tag-maximumpowertransfertheorem","tag-networktheorems","tag-polytechnic","tag-polytechnicstudents","tag-powertransfer","tag-practicalexperiment","tag-practicalfile","tag-skygyan","tag-theveninequivalentcircuit","tag-thevenintheorem","tag-vivavoce"],"yoast_head":"\nECN Lab Experiment: To verify the Maximum Power Transfer Theorem - SkyGyan<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/skygyan.tech\/index.php\/2026\/10\/22\/ecn-lab-experiment-to-verify-the-maximum-power-transfer-theorem\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ECN Lab Experiment: To verify the Maximum Power Transfer Theorem - SkyGyan\" \/>\n<meta property=\"og:description\" content=\"Object: To verify the Maximum Power Transfer Theorem by varying the load resistance and observing the power delivered to the load. Apparatus Required: Regulated DC power supply (12 V), resistors (1 k\u03a9 and suitable load-resistance decade box or resistors), digital multimeter(s), breadboard\/trainer board, connecting wires. 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Apparatus Required: Regulated DC power supply (12 V), resistors (1 k\u03a9 and suitable load-resistance decade box or resistors), digital multimeter(s), breadboard\/trainer board, connecting wires. 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