Measuring Devices ( Galvanometer, Voltmeter and Ammeter & Meter Bridge ): Practice Problem & Solution
Assertion (A): A potentiometer of longer length is used for accurate measurement. Reason (R): The potential gradient for a potentiometer of longer length with a given source of e.m.f. becomes small.
Solution Explained:
To solve this problem, we apply the core principles of Measuring Devices ( Galvanometer, Voltmeter and Ammeter & Meter Bridge ). Understanding the underlying formula is key to arriving at the correct answer below:
A longer potentiometer wire, for a given driver cell, results in a smaller potential gradient \( k = V/L \). A smaller potential gradient means that even a small change in potential corresponds to a significant change in balancing length, increasing the sensitivity and accuracy of the measurement. Thus, both (A) and (R) are true, and (R) correctly explains (A).
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