Match each resistor configuration or color-coded component on the left with its correspond… — Armed Services Vocational Aptitude Battery (ASVAB)

Match each resistor configuration or color-coded component on the left with its corresponding electrical characteristic and operating principle on the right.

Three-terminal potentiometer wired across a DC supply voltage ( $V_{\text{in}}$ ) with output taken from the wiperFunctions as an adjustable voltage divider delivering an output from $0\text{ V}$ to $V_{\text{in}}$ without altering total resistance across the source
Variable resistor wired as a rheostat with the wiper connected to one end terminalFunctions as a series current limiter by varying loop resistance, with the wiper connection preventing an open circuit if wiper contact is lost
Four-band fixed resistor with color sequence Yellow, Violet, Orange, GoldProvides a nominal resistance of $47\text{ k}\Omega$ with an allowable tolerance range of $\pm 5\%$ ( $44.65\text{ k}\Omega$ to $49.35\text{ k}\Omega$ )
Four-band fixed resistor with color sequence Brown, Gray, Green, SilverProvides a nominal resistance of $1.8\text{ M}\Omega$ with an allowable tolerance range of $\pm 10\%$ ( $1.62\text{ M}\Omega$ to $1.98\text{ M}\Omega$ )

Answer

The three-terminal potentiometer matches the voltage divider function; the rheostat matches the series current limiter with wiper-to-end protection; the Yellow-Violet-Orange-Gold resistor matches

47\text{ k}\Omega \pm 5\%

; and the Brown-Gray-Green-Silver resistor matches

1.8\text{ M}\Omega \pm 10\%

Each item correctly links the component physical description or color code to its precise electrical definition: potentiometers provide variable potential division, rheostats adjust circuit current, Yellow-Violet-Orange-Gold evaluates to

47\text{ k}\Omega \pm 5\%

, and Brown-Gray-Green-Silver evaluates to

1.8\text{ M}\Omega \pm 10\%

Step-by-Step Solution

Analyze the three-terminal potentiometer and rheostat wiring configurations

A potentiometer connected across a power source acts as a continuous voltage divider (

0\text{ V}

V_{\text{in}}

) at the wiper terminal. A rheostat uses a variable two-terminal configuration in series with the load to regulate current.

Variable resistors differ in circuit function based on whether they are wired as three-terminal potential dividers or two-terminal current adjusters.

Decode the four-band color code for Yellow-Violet-Orange-Gold

Yellow = 4, Violet = 7, Orange = multiplier

10^3 = 1,000

, Gold =

\pm 5\%

. Value

= 47 \times 1,000\ \Omega = 47\text{ k}\Omega \pm 5\%

Standard EIA 4-band color coding assigns significant digits to the first two bands, a decimal multiplier to the third band, and tolerance percentage to the fourth band.

Decode the four-band color code for Brown-Gray-Green-Silver

Brown = 1, Gray = 8, Green = multiplier

10^5 = 100,000

, Silver =

\pm 10\%

. Value

= 18 \times 100,000\ \Omega = 1.8\text{ M}\Omega \pm 10\%

Standard EIA 4-band color coding converts

1,800,000\ \Omega

using standard metric prefixes to

1.8\text{ M}\Omega

with a silver tolerance of

\pm 10\%

Key Concept

Operating principles and terminal configurations of fixed and variable resistors (potentiometers, rheostats, and standard color codes)

Alternative Method

To quickly decode 4-band resistors, write down the two digits (e.g., 47 for Yellow-Violet or 18 for Brown-Gray), append the number of zeros indicated by the multiplier color (3 zeros for Orange = 47,000, 5 zeros for Green = 1,800,000), and simplify to metric units (kilo or mega).

Estimated Time:1m 0s

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