Match each direct current (DC) circuit scenario on the left with its corresponding calcula… — Armed Services Vocational Aptitude Battery (ASVAB)

Match each direct current (DC) circuit scenario on the left with its corresponding calculated electrical quantity on the right using Ohm's law ( $V = I \times R$ ).

A $120\text{ V}$ line connected across a load with a resistance of $2.4\text{ k}\Omega$ Resulting current of $50\text{ mA}$
A $5\text{ V}$ logic circuit branch drawing a current of $20\text{ mA}$ Circuit resistance of $250\text{ }\Omega$
A current of $400\text{ mA}$ flowing through a $50\text{ }\Omega$ heating elementVoltage drop of $20\text{ V}$
A $36\text{ V}$ industrial sensor loop carrying a current of $3\text{ mA}$ Loop resistance of $12\text{ k}\Omega$

Answer

The

120\text{ V}

load with

2.4\text{ k}\Omega

matches the resulting current of

50\text{ mA}

; the

5\text{ V}

circuit drawing

20\text{ mA}

matches the circuit resistance of

250\text{ }\Omega

; the

400\text{ mA}

current through

50\text{ }\Omega

matches the voltage drop of

20\text{ V}

; and the

36\text{ V}

loop carrying

3\text{ mA}

matches the loop resistance of

12\text{ k}\Omega

Each circuit condition correctly maps to its target electrical parameter by converting metric prefixes (

1\text{ k}\Omega = 1000\text{ }\Omega

1\text{ mA} = 0.001\text{ A}

) and applying the appropriate algebraic form of Ohm's law:

I = \frac{V}{R}

R = \frac{V}{I}

, and

V = I \times R

Step-by-Step Solution

Calculate current for the

120\text{ V}

2.4\text{ k}\Omega

circuit

I = \frac{120\text{ V}}{2400\text{ }\Omega} = 0.05\text{ A} = 50\text{ mA}

Ohm's law states

I = \frac{V}{R}

, requiring resistance in fundamental ohms (

1\text{ k}\Omega = 1000\text{ }\Omega

Calculate resistance for the

5\text{ V}

20\text{ mA}

circuit branch

R = \frac{5\text{ V}}{0.02\text{ A}} = 250\text{ }\Omega

Rearranging Ohm's law gives

R = \frac{V}{I}

, requiring current in amperes (

20\text{ mA} = 0.02\text{ A}

Calculate voltage drop across the

50\text{ }\Omega

element carrying

400\text{ mA}

V = 0.4\text{ A} \times 50\text{ }\Omega = 20\text{ V}

Ohm's law formula

V = I \times R

computes potential difference when current and resistance are known.

Calculate total resistance for the

36\text{ V}

3\text{ mA}

sensor loop

R = \frac{36\text{ V}}{0.003\text{ A}} = 12000\text{ }\Omega = 12\text{ k}\Omega

Applying

R = \frac{V}{I}

with

3\text{ mA} = 0.003\text{ A}

yields

12000\text{ }\Omega

, or

12\text{ k}\Omega

Key Concept

Ohm's law mathematically relates voltage (

V

), current (

I

), and resistance (

R

) via

V = I \times R

I = \frac{V}{R}

, and

R = \frac{V}{I}

, requiring consistent base metric units.

Estimated Time:1m 15s

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