Match each circuit operating scenario on the left with its corresponding calculated electr… — Armed Services Vocational Aptitude Battery (ASVAB)

Match each circuit operating scenario on the left with its corresponding calculated electrical quantity on the right by applying Ohm's law and metric unit conversions.

A $24\text{ V}$ DC relay coil with a winding resistance of $480\ \Omega$ (Determine the current) $50\text{ mA}$
An aircraft cockpit indicator operating at $28\text{ V}$ that draws $350\text{ mA}$ (Determine the resistance) $80\ \Omega$
A diagnostic probe drawing $40\ \mu\text{A}$ through a $2.5\text{ M}\Omega$ internal resistor (Determine the voltage drop) $100\text{ V}$
An automotive control module with a $2.4\text{ k}\Omega$ load connected across $12\text{ V}$ (Determine the current) $5\text{ mA}$

Answer

The relay coil matches

50\text{ mA}

, the cockpit indicator matches

80\ \Omega

, the diagnostic probe matches

100\text{ V}

, and the automotive control module matches

5\text{ mA}

Each scenario correctly applies the relevant permutation of Ohm's law (

V=IR

I=V/R

, or

R=V/I

) following proper metric prefix conversion to base electrical units.

Step-by-Step Solution

Calculate the current for the relay coil

I = \frac{24\text{ V}}{480\ \Omega} = 0.05\text{ A} = 50\text{ mA}

Apply

I = \frac{V}{R}

directly and convert amperes to milliamperes by multiplying by

1000

Calculate the resistance for the aircraft indicator

R = \frac{28\text{ V}}{0.35\text{ A}} = 80\ \Omega

Convert

350\text{ mA}

to base units (

0.35\text{ A}

) and rearrange Ohm's law to

R = \frac{V}{I}

Calculate the voltage drop across the diagnostic probe

V = (40 \times 10^{-6}\text{ A}) \times (2.5 \times 10^{6}\ \Omega) = 100\text{ V}

Convert microamperes (

10^{-6}

) and megaohms (

10^{6}

) to standard base units and compute

V = I \times R

Calculate the current for the automotive control module

I = \frac{12\text{ V}}{2400\ \Omega} = 0.005\text{ A} = 5\text{ mA}

Convert

2.4\text{ k}\Omega

2400\ \Omega

, compute

I = \frac{V}{R}

, and express the result in milliamperes.

Key Concept

Ohm's Law calculations relating voltage (

V

), current (

I

), and resistance (

R

), integrated with metric prefix conversions.

Estimated Time:2m 0s

Question

Answer

Step-by-Step Solution

Key Concept

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