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https://texercises.com/exercise/voltmeter-1/
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Exercise:
Two RO resistors are connected in series to VO. The partial voltage across the second resistor is measured with a voltmeter with resistance RMO. Calculate the expected and the measured voltage.

Solution:
Without the voltmeter the partial voltage is expected to be Delta V_ VeF V fracRR+R VeS With the voltmeter the voltage drops to Delta V'_ Delta V_ fracR'_R_+R'_ The resistance R'_ is R'_ leftfracR_+fracR_Mright^- fracR_ R_MR_ + R_M so we get Delta V'_ Delta V_ fracfracR_ R_MR_ + R_MR_+fracR_ R_MR_ + R_M VmF V fracR times RMR times R + R times RM + R times RM resultVmS
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Exercise:
Two RO resistors are connected in series to VO. The partial voltage across the second resistor is measured with a voltmeter with resistance RMO. Calculate the expected and the measured voltage.

Solution:
Without the voltmeter the partial voltage is expected to be Delta V_ VeF V fracRR+R VeS With the voltmeter the voltage drops to Delta V'_ Delta V_ fracR'_R_+R'_ The resistance R'_ is R'_ leftfracR_+fracR_Mright^- fracR_ R_MR_ + R_M so we get Delta V'_ Delta V_ fracfracR_ R_MR_ + R_MR_+fracR_ R_MR_ + R_M VmF V fracR times RMR times R + R times RM + R times RM resultVmS
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Attributes & Decorations
Branches
Electrodynamics
Tags
measurement, resistance, voltage, voltmeter
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
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Link