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Answer :
Final answer:
The voltmeter will show a potential difference of 8V across the 190-ohm resistor when it is connected across an 8V battery, which is the full voltage of the battery.
Explanation:
When a 8V battery is connected to a circuit with a 190-ohm resistor, and when the potential difference across the resistor is measured with a voltmeter, the voltmeter will show the voltage drop across the resistor. According to Ohm's law (V = IR), the voltage across the resistor will be equal to the voltage output of the battery if the resistor is the only component in the circuit. Since the battery voltage is 8V and the resistor is directly across it, the voltmeter will measure a potential difference of 8V (option B), which is the full voltage of the battery. There is no voltage drop elsewhere in the circuit as this is a simple one-resistor circuit with negligible internal resistance in the battery or wires. Option B,
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