In DC potentiometry for electrical measurements, which of the following tasks does not require prior standardization (calibration) of the potentiometer scale?

Difficulty: Easy

Correct Answer: Measurement of resistance using the ratio of two balance lengths

Explanation:


Introduction / Context:
DC potentiometers are precision instruments that compare unknown voltages to a reference, typically a standard cell. Before reading absolute voltages, a potentiometer is usually standardized so that the slide-wire scale reads in true volts. However, some measurement techniques use only ratios of balance lengths, which cancel the calibration constant. This question checks whether you know which applications do and do not require standardization.


Given Data / Assumptions:

  • Conventional DC potentiometer with slide wire and working battery.
  • Standardization sets the current so that a known length corresponds to a known voltage (for example, 1.0186 V of a Weston cell).
  • Resistance can be measured by comparing two drops produced by the same current through known and unknown resistors.


Concept / Approach:
When measuring resistance R_x by the drop across R_x and a standard R_s in the same circuit current I, the potentiometer balances two voltages that are proportional to IR_x and IR_s. The balance lengths l_x and l_s are proportional to those voltages with the same scale constant k (volts per unit length). Hence R_x / R_s = (k l_x) / (k l_s) = l_x / l_s, independent of k; therefore, standardization is unnecessary. By contrast, direct EMF measurements and instrument calibration require the absolute scale in volts, so standardization is essential. Measuring current from V = IR with a standard resistor also needs the absolute voltage value, hence requires standardization.


Step-by-Step Solution:

For resistance: measure l_x across R_x and l_s across R_s with the same current.Use R_x / R_s = l_x / l_s (the potentiometer constant cancels).Therefore no prior standardization is required for resistance measurement by ratio.


Verification / Alternative check:

Try a numerical example with any k; the computed resistance ratio is unchanged.


Why Other Options Are Wrong:

Unknown voltage and voltmeter calibration need the scale in true volts, so standardization is mandatory.Unknown current via V = IR also needs absolute volts, so standardization is required.


Common Pitfalls:

Assuming every potentiometer task must be standardized; not true for pure ratio methods.


Final Answer:

Measurement of resistance using the ratio of two balance lengths

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