A portable two-way radio is powered by four 1.5\text{ V} battery cells connected in series… — Armed Services Vocational Aptitude Battery (ASVAB)

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

Answer: 6 V

Answer

The total electromotive force supplied is

6.0\text{ V}

(or

6\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\text{ V}

cells produce a total EMF of

4 \times 1.5\text{ V} = 6.0\text{ V}

Step-by-Step Solution

Apply the series voltage addition principle

V_{\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.

Perform the calculation for four identical

1.5\text{ V}

cells

V_{\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.

Key Concept

Series Voltage Addition and Electromotive Force (EMF)

Estimated Time:45s

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