27.12
使用标准电压表和电流表进行电压和电流测量会通过绘制或阻止电流来改变被测量的电路,这会带来测量的不确定性。 空测量平衡电压,以便没有电流流过测量设备,因此被测电路不会发生变化。
假设需要测量电池的电动势。 如果将电池直接连接到标准电压表,测得的量就是电池的端电压。 为了准确测量电动势,应该知道内阻,或…
当将电压表连接到电池两端时,它仅测量电池的端电压。
为了准确测量电动势,应已知电池的内阻,或确保电池输出的电流为零。然而,电压表在工作时会消耗微小的电流。
因此,像电位计这样的零位测量装置比电压表更精确,因为它通过平衡电压,使测量装置中没有电流流过。
它由一个电压源连接到一根长而均匀的电阻丝组成。
电压源维持导线中恒定的电流流动和均匀的电势梯度。
将未知电动势源与检流计和滑动触头连接。调节接触点,使电动势等于导线段上的电位降,此时检流计显示无偏转。
将标准电动势源替换未知源,并再次调节接触点以获得零偏转。
这两个关系的比值给出了未知电动势以电阻表示的表达式,该表达式与测得的平衡长度成正比。
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Q1: Why is a potentiometer more accurate than a voltmeter for measuring emf?
A potentiometer is a null measurement device that balances voltages without allowing current to flow through the measuring device, eliminating circuit alterations. In contrast, voltmeters draw small currents to operate, which affects the circuit and introduces measurement errors. By achieving zero deflection on a galvanometer, the potentiometer measures the true electromotive force without distorting the circuit.
Q2: What components make up a potentiometer and what does each do?
A potentiometer consists of a voltage source connected to a long, uniform resistive wire of constantan or magnum, a rheostat to regulate current flow, a galvanometer to detect balance, and a jockey to adjust the contact point. The voltage source maintains a constant current and uniform potential gradient across the wire, while the galvanometer indicates when the unknown emf equals the potential drop.
Q3: How does the potentiometer achieve zero current flow during measurement?
The potentiometer balances the unknown emf against a known potential drop across a wire segment. When the contact point is adjusted so that these voltages are equal, the galvanometer shows zero deflection, indicating no current flows through the measuring circuit. This null measurement condition ensures the circuit remains unaltered during the measurement process.
Q4: What is the procedure for measuring an unknown emf with a potentiometer?
First, connect the unknown emf source with a galvanometer and jockey, then adjust the contact point until the galvanometer shows zero deflection and record this balanced length. Next, replace the unknown source with a standard emf source and adjust the contact point again for zero deflection. The ratio of the two balanced lengths gives the unknown emf in terms of the wire segment resistances.
Q5: Why must the potentiometer wire have a uniform potential gradient?
A uniform potential gradient ensures that the potential drop across any segment of wire is directly proportional to its length and resistance. This linear relationship allows the potentiometer to accurately calculate unknown emf values from the balanced lengths, making the measurement reliable and independent of absolute resistance values.
Q6: What measurements can a potentiometer perform beyond measuring unknown emf?
A potentiometer can measure the internal resistance of a cell by comparing the terminal voltage under load with the open-circuit emf. It can also compare the electromotive force of two voltage sources by balancing each against the same standard reference, providing accurate relative measurements without drawing significant current.
Q7: How does the potentiometer differ from standard voltmeters in handling internal resistance?
Standard voltmeters measure only terminal voltage and require knowledge of internal resistance for accurate emf determination. The potentiometer eliminates this requirement by achieving zero current flow, making the internal resistance irrelevant. This null measurement approach provides direct emf measurement without needing to account for voltage drops caused by the measuring device itself.