Exercise
https://texercises.com/exercise/range-extension/
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
An ammeter with system resistance RSO has maximum deflection for ISO. How can this meter be adjusted to measure currents of up to IEO and how to measure voltages of up to VEO?

Solution:
abcliste abc To ext the range of the ammeter a parallel resistor sscRp shunt resistor has to be added such that at the maximum current sscImax the current sscIM through the system resistor does not exceed the given value. The two resistors in parallel have to fulfil the condition fracsscRpsscRM fracsscIMsscIp fracsscIMsscItot-sscIM The resistance for the shunt resitor has to be sscRp RpF RStimesfracIE-IS Rp approx resultRpP- abc The same meter can be used as a voltmeter. The full deflection corresponds to a voltage sscDelta VM sscRMsscIM In order to measure higher voltages a series resistor sscRs has to connected to the meter. The total voltage sscDelta Vtot is then split up between the two resistors: fracsscRssscRM fracsscDelta VssscDelta VM fracsscDelta Vtot-sscDelta VMsscDelta VM fracsscDelta Vtot-sscRMsscIMsscRMsscIM fracsscDelta VtotsscRMsscIM- Solving for the series resitance leads to sscRs sscRMleftfracsscDelta VtotsscRMsscIM-right RsF fracVEIS-RS Rs approx resultRsP abcliste
Meta Information
\(\LaTeX\)-Code
Exercise:
An ammeter with system resistance RSO has maximum deflection for ISO. How can this meter be adjusted to measure currents of up to IEO and how to measure voltages of up to VEO?

Solution:
abcliste abc To ext the range of the ammeter a parallel resistor sscRp shunt resistor has to be added such that at the maximum current sscImax the current sscIM through the system resistor does not exceed the given value. The two resistors in parallel have to fulfil the condition fracsscRpsscRM fracsscIMsscIp fracsscIMsscItot-sscIM The resistance for the shunt resitor has to be sscRp RpF RStimesfracIE-IS Rp approx resultRpP- abc The same meter can be used as a voltmeter. The full deflection corresponds to a voltage sscDelta VM sscRMsscIM In order to measure higher voltages a series resistor sscRs has to connected to the meter. The total voltage sscDelta Vtot is then split up between the two resistors: fracsscRssscRM fracsscDelta VssscDelta VM fracsscDelta Vtot-sscDelta VMsscDelta VM fracsscDelta Vtot-sscRMsscIMsscRMsscIM fracsscDelta VtotsscRMsscIM- Solving for the series resitance leads to sscRs sscRMleftfracsscDelta VtotsscRMsscIM-right RsF fracVEIS-RS Rs approx resultRsP abcliste
Contained in these collections:

Attributes & Decorations
Branches
Direct Current
Tags
ammeter, resistor, resistor circuit, series resistors, voltmeter
Content image
Difficulty
(3, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
File
Link