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https://texercises.com/exercise/range-extension-1/
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Exercise:
A meter has a system resistance R_RMO and maximum deflection for I_IMO through the measuring unit. How can the meter be used to measure a currents up to ImaxO; b voltages up to VmaxO?

Solution:
abcliste abc The currents through the system resistor and the shunt resistor are in the inverse ratio of the corresponding resistance values current divider: fracI_I_P fracR_PR_ With I_P sscImax - I_ we find for the shunt resistance R_P R_ fracI_I_P RPF RM times fracIMImax-IM RP approx resultRPP abc The voltages across the system resistor and the series resistor are in the same ratio as the corresponding resistance values voltage divider: fracDelta V_SDelta V_ fracR_SR_ With Delta V_SsscDelta Vmax - Delta V_ and Delta V_ R_ I_ we find for the series resistance R_S R_ fracDelta _SDelta V_ RSF RM times fracVmax - RM times IMRM times IM RS approx resultRSP abcliste
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Exercise:
A meter has a system resistance R_RMO and maximum deflection for I_IMO through the measuring unit. How can the meter be used to measure a currents up to ImaxO; b voltages up to VmaxO?

Solution:
abcliste abc The currents through the system resistor and the shunt resistor are in the inverse ratio of the corresponding resistance values current divider: fracI_I_P fracR_PR_ With I_P sscImax - I_ we find for the shunt resistance R_P R_ fracI_I_P RPF RM times fracIMImax-IM RP approx resultRPP abc The voltages across the system resistor and the series resistor are in the same ratio as the corresponding resistance values voltage divider: fracDelta V_SDelta V_ fracR_SR_ With Delta V_SsscDelta Vmax - Delta V_ and Delta V_ R_ I_ we find for the series resistance R_S R_ fracDelta _SDelta V_ RSF RM times fracVmax - RM times IMRM times IM RS approx resultRSP abcliste
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Attributes & Decorations
Branches
Electrodynamics
Tags
ammeter, current, range, voltage, voltmeter
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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Link