Radio Amateur Quiz Canadian License

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Question A-003-006-003

A voltmeter having a range of 150 volts and an internal resistance of 150 000 ohms is to be extended to read 750 volts. The required multiplier resistor would have a value of:

Correct Answer

600 000 ohms

Explanation

Original sensitivity: Full-scale current Ifs = V_orig / R_orig = 150V / 150kΩ = 1mA. For new range V_new=750V, total resistance R_total = V_new / Ifs = 750V / 1mA = 750kΩ. Multiplier R_mult = R_total - R_orig = 750kΩ - 150kΩ = 600kΩ.

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