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Zorluk: KolayVoltage and Electromotive Force (EMF)

A portable two-way radio is powered by four 1.5 V1.5\text{ V} battery cells connected in series aiding. What is the total electromotive force (EMF) supplied to the radio circuit, in volts?

Cevap: 6 V

Cevap

The total electromotive force supplied is 6.0 V6.0\text{ V} (or 6 V6\text{ V}).
Connecting direct current (DC) cells in series aiding connects the positive terminal of each cell to the negative terminal of the next, causing their individual potential differences to combine additively. Therefore, four 1.5 V1.5\text{ V} cells produce a total EMF of 4×1.5 V=6.0 V4 \times 1.5\text{ V} = 6.0\text{ V}.

Adım Adım Çözüm

1
Apply the series voltage addition principle
Vtotal=V1+V2+V3+V4V_{\text{total}} = V_1 + V_2 + V_3 + V_4
When voltage sources are connected in series aiding, their individual potential differences add together directly to provide the total electromotive force.
2
Perform the calculation for four identical 1.5 V1.5\text{ V} cells
Vtotal=4×1.5 V=6.0 VV_{\text{total}} = 4 \times 1.5\text{ V} = 6.0\text{ V}
Multiplying the single-cell potential by the quantity of series-connected cells yields the overall circuit EMF.

Anahtar Kavram

Series Voltage Addition and Electromotive Force (EMF)
Tahmini Süre:45s
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Voltage and Electromotive Force (EMF)

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