27.12
標準的な電圧計と電流計を使用した電圧と電流の測定では、電流の流れを引き込んだり抵抗したりすることで測定対象の回路が変化し、測定に不確実性が生じます。 ヌル測定では、測定デバイスに電流が流れないように電圧のバランスをとるため、測定対象の回路に変化が生じません。
バッテリーの起電力を測定する必要があると…
電圧計をバッテリーの両端に接続すると、端子電圧のみが測定されます。
正確な起電力測定を行うには、バッテリの内部抵抗がわかっているか、バッテリによって供給される電流をゼロにする必要があります。ただし、電圧計は動作するために小さな電流を消費します。
したがって、ポテンショメータのようなヌル測定デバイスは、電圧のバランスを取り、測定デバイスに電流が流れないようにするため、電圧計よりも正確です。
これは、長く均一な抵抗線に接続された電圧源で構成されています。
電圧源は、一定の電流の流れとワイヤ全体の均一な電位勾配を維持します。
未知の起電力源は、検流計と騎手に接続されています。接触点は、起電力がワイヤのセグメントを横切る電位降下と等しくなり、検流計がゼロのたわみを示すように調整されます。
標準の起電力源が未知の発生源に置き換わり、接触点が再び調整されてたわみがゼロになります。
2つの関係の比は、得られたバランスの取れた長さに比例する抵抗の観点から未知の起電力の表現を与えます。
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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.