Exercise
https://texercises.com/exercise/speaker-wires/
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The following quantities appear in the problem: Länge \(\ell\) / elektrischer Widerstand \(R\) / Fläche \(A\) / Radius \(r\) / spezifischer elektrischer Widerstand \(\rho\) /
The following formulas must be used to solve the exercise: \(A = \pi r^2 \quad \) \(R = \varrho \dfrac{\ell}{A} \quad \)
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Exercise:
Suppose you want to connect your stereo to remote speakers. abcliste abc If each wire must be m long what diameter copper wire should you use to keep the resistance less than .ohm per wire? abc If the current to each speaker is .A what is the potential difference or voltage drop across each wire? abcliste

Solution:
abclist abc newqtyelm newqtyR.ohm newqtyre.ohmmeter % Geg ell el R R % GesDurchmesserd  sim % Damit der Widerstand kleiner als angegeben ist darf die Querschnittfläche höchstens solqtyArhoel fracellRren*eln/Rnsquaremeter al A Af re fracelR A betragen und damit höchstens einen Durchmesser von solqtydsqrtrhoel fracell Api Rsqrt*An/pim al d sqrtfracApi df sqrtfrac Api d haben. % d df Tecd- abc newqtyI.A % Die Spannung an jedem Draht beträgt solqtyURIRn*InV al U Uf R I U UTT abclist
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Exercise:
Suppose you want to connect your stereo to remote speakers. abcliste abc If each wire must be m long what diameter copper wire should you use to keep the resistance less than .ohm per wire? abc If the current to each speaker is .A what is the potential difference or voltage drop across each wire? abcliste

Solution:
abclist abc newqtyelm newqtyR.ohm newqtyre.ohmmeter % Geg ell el R R % GesDurchmesserd  sim % Damit der Widerstand kleiner als angegeben ist darf die Querschnittfläche höchstens solqtyArhoel fracellRren*eln/Rnsquaremeter al A Af re fracelR A betragen und damit höchstens einen Durchmesser von solqtydsqrtrhoel fracell Api Rsqrt*An/pim al d sqrtfracApi df sqrtfrac Api d haben. % d df Tecd- abc newqtyI.A % Die Spannung an jedem Draht beträgt solqtyURIRn*InV al U Uf R I U UTT abclist
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Tags
copper, current, currents, electric, electricity, physics, resistance, resistivity, speaker, stereo, wire
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Difficulty
(2, default)
Points
4 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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