The institutional handout Measurement of Emf Using a Potentiometer, Oklahoma Christian University laboratory (Experimental Activity: calibration procedure, measuring a test cell, and measuring internal resistance of a cell) compares unloaded and loaded battery readings. Its apparatus uses a slidewire potentiometer, calibrated resistance coils, a reference cell, a galvanometer, a nominal flashlight cell, a voltmeter, and a switched variable resistor branch with an ammeter. Calibration uses the reference cell's tagged electromotive force; zero galvanometer deflection establishes a null measurement. With the load branch open, the null reading draws no test-cell electric current. The protocol compares newer and older cells using both instruments, then records simultaneous loaded terminal electric potential difference and electric current. It prescribes brief measurements, opening the load switch between readings, and periodic calibration rechecks. These are documented procedures, not run data.[ref]
For the battery internal resistance model, . The handout's analysis estimates electromotive force from the intercept and from the negative slope, then compares the intercept with the independent null reading.[ref]
Additional replication controls are to repeat the open-load reading after the sweep, return to an earlier load setting to detect drift, and record temperature, elapsed time, instrument resolution and measurement error. Include ammeter and contact electrical resistance in the external path; allow for voltmeter loading if a voltmeter replaces the null instrument. The Thévenin measurement experiment gives the corresponding meter-loading correction. Curvature or time-dependent readings can reject the constant- approximation, but a terminal curve alone does not identify which internal transport or electrode process caused the deviation. These extra controls and interpretations are model-based extensions, not reported outcomes of the handout.
An authored teaching experiment uses an adjustable steady-voltage supply, a digital multimeter, fixed resistors, and a potentiometer or resistance decade box. Its original circuit uses a supply and , , and resistors; the student compares and electrical loads. The readout is load voltage, recorded against prediction and deviation. The student then removes the electrical load to measure the open-circuit voltage, disconnects the supply and substitutes a wire to measure the Thévenin resistance with the multimeter's resistance mode, and restores the supply for an independent method: adjust the variable electrical load until the voltmeter reads half the unloaded voltage. Finally the student builds the equivalent and repeats both load measurements. Its tables are blank recording forms, not reported observations. [ref]
The half-voltage inference assumes negligible voltmeter loading and positive . A finite voltmeter input electrical resistance actually gives an apparent unloaded reading
When the same voltmeter remains connected across a variable electrical load , the network sees . Setting its reading to , rather than to the true , gives
Thus the uncorrected half-reading method underestimates positive . In the original example, a stipulated gives and half-reading load , instead of . These are model predictions for a deliberately loading meter, not the specification or observed readout of the source experiment's instrument.
Finite readings can also estimate the terminal line without a physical short. For two distinct load settings with corrected delivered electric currents and terminal voltages ,
If the voltmeter remains across each electrical load, the delivered electric current is , including the meter branch. Omitting it biases the inferred slope.
Useful additional controls are to measure each resistor separately before assembly, verify terminal polarity, repeat an earlier load setting to detect supply drift, and compare a third setting with the inferred Thévenin terminal response. These are proposed controls, not reported outcomes of the source experiment. Closely spaced electric currents make the slope estimate sensitive to voltage resolution and measurement error; widely separated settings may trigger source current limiting or Joule heating that changes electrical resistance. Lead and contact electrical resistance, meter input uncertainty and rounding limit the inference. An ohmmeter injects its own test electric current; its reading on a powered network is not the suppressed-network ratio. Measurements with independent sources physically removed do not characterize an active dependent electrical source whose control or supply has also been disconnected.