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Exercise:
One of the old voltmeters of the Rämibühl physics institute see figure can be used to measure different voltage ranges by using the common terminal + and one of the other terminals labelled with the corresponding voltage maximum value for full deflection. The full deflection corresponds to a voltage VMO across the system resistor. The resistance measured between terminals + and `VaO' is RaO. center includegraphicswidthcm#image_path:voltmeter-# center abcliste abc Calculate the current required for full deflection and the system resistance. abc What is the resistance measured between terminals + and `VbO'? abcliste

Solution:
abcliste abc The current for full deflection is given by sscImax IF fracVaRa resultIP- It follows for the system resistance R_M fracDelta V_MsscImax RMF fracVMVatimesRa resultRMP Expressing the partial voltage across the system resistor R_M using the new voltage range we find R_M fracDelta V_MDelta V' R' It follows for the resistance R' RbF RM times fracVbVM resultRbP abcliste
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Exercise:
One of the old voltmeters of the Rämibühl physics institute see figure can be used to measure different voltage ranges by using the common terminal + and one of the other terminals labelled with the corresponding voltage maximum value for full deflection. The full deflection corresponds to a voltage VMO across the system resistor. The resistance measured between terminals + and `VaO' is RaO. center includegraphicswidthcm#image_path:voltmeter-# center abcliste abc Calculate the current required for full deflection and the system resistance. abc What is the resistance measured between terminals + and `VbO'? abcliste

Solution:
abcliste abc The current for full deflection is given by sscImax IF fracVaRa resultIP- It follows for the system resistance R_M fracDelta V_MsscImax RMF fracVMVatimesRa resultRMP Expressing the partial voltage across the system resistor R_M using the new voltage range we find R_M fracDelta V_MDelta V' R' It follows for the resistance R' RbF RM times fracVbVM resultRbP abcliste
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Attributes & Decorations
Branches
Electrodynamics
Tags
dc circuit, resistance, series, voltage divider, voltmeter
Content image
Difficulty
(3, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration