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The correct choice, an ammeter, is specifically designed to measure the current flowing through a circuit. An ammeter is connected in series with the circuit, allowing it to measure the flow of electric charge directly in amperes. This instrument is calibrated to provide accurate readings of current, making it essential for understanding how much electric current is passing through a given path in a circuit.

In contrast, a voltmeter measures voltage across points in a circuit and is connected in parallel, which wouldn’t provide a direct measurement of current. A potentiometer is used to measure voltage or to adjust levels of voltage in a circuit, while an ohmmeter is utilized for measuring resistance. Each of these instruments serves a different purpose and is not suitable for measuring current directly. This clarity in their distinct functions reinforces the role of the ammeter in electrical measurements.