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Zorluk: OrtaVoltage and Electromotive Force (EMF)

A remote weather station is powered by a battery bank containing two identical parallel branches. Each branch is composed of three 12 V12\text{ V} batteries connected in series aiding. What total electromotive force (EMF) is delivered across the main output terminals of the bank?

  1. A
    18 V18\text{ V}
  2. B
    72 V72\text{ V}
  3. 36 V36\text{ V}Cevap
  4. D
    12 V12\text{ V}

Cevap

36 V36\text{ V}
In a battery bank containing series strings wired in parallel, each series branch sums the voltages of its three 12 V12\text{ V} batteries to produce 36 V36\text{ V} (12 V+12 V+12 V=36 V12\text{ V} + 12\text{ V} + 12\text{ V} = 36\text{ V}). Connecting two identical 36 V36\text{ V} strings in parallel keeps the potential difference across the output terminals at 36 V36\text{ V} while doubling current capacity.

Adım Adım Çözüm

1
Calculate the total electromotive force of a single series-connected branch.
12 V+12 V+12 V=36 V12\text{ V} + 12\text{ V} + 12\text{ V} = 36\text{ V}
When DC voltage sources are wired in series aiding, their individual voltages add directly.
2
Determine the combined electromotive force delivered by the parallel configuration.
36 V36\text{ V}
Connecting identical voltage branches in parallel provides the same terminal voltage as a single branch while expanding overall current capacity.

Anahtar Kavram

Series-parallel voltage principles dictate that series-connected sources sum their electromotive forces, whereas connecting identical strings in parallel maintains that branch voltage across the load terminals.
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Konular

Voltage and Electromotive Force (EMF)

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