An industrial controller module requires a total electromotive force (EMF) of 0.12\text{ k… — Armed Services Vocational Aptitude Battery (ASVAB)

An industrial controller module requires a total electromotive force (EMF) of $0.12\text{ kV}$ for its backup power rail. If standard $1.5\text{ V}$ alkaline cells are connected in series-aiding to supply the rail, how many cells are required?

Answer: 80 cells

Answer

80 cells

The total requirement is

0.12\text{ kV}

, which equals

120\text{ V}

. Since series-aiding cells add their electromotive forces directly, dividing the total required voltage of

120\text{ V}

1.5\text{ V}

per cell gives exactly

80

cells.

Step-by-Step Solution

Convert the required electromotive force from kilovolts (kV) to standard volts (V)

0.12\text{ kV} \times 1000 = 120\text{ V}

The prefix kilo- denotes a multiplier of

1000

, so the potential difference must be converted to base units to match individual cell ratings.

Calculate the number of series cells needed by dividing total EMF by the EMF of a single cell

n = \frac{120\text{ V}}{1.5\text{ V/cell}} = 80\text{ cells}

When electrical cells are connected in series-aiding configuration, their individual voltages add directly (

V_{\text{total}} = n \times V_{\text{cell}}

Key Concept

Series electromotive force summation and metric prefix voltage conversion

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