A technician is servicing an off-grid solar telemetry station and measures the operating p… — Armed Services Vocational Aptitude Battery (ASVAB)

A technician is servicing an off-grid solar telemetry station and measures the operating parameters of four distinct direct current (DC) load circuits. Match each circuit description on the left with its corresponding calculated electrical quantity on the right using Ohm's law.

A $24\text{ V}$ cooling fan circuit with a measured internal resistance of $120\text{ }\Omega$ Operating current of $0.20\text{ A}$
A $48\text{ V}$ remote sensor beacon drawing a steady current of $16\text{ mA}$ Effective resistance of $3.0\text{ k}\Omega$
An environmental heating strip drawing $2.5\text{ A}$ when supplied with $15\text{ V}$ Effective resistance of $6.0\text{ }\Omega$
A backup LED indicator branch drawing $50\text{ mA}$ through a $180\text{ }\Omega$ resistorApplied branch voltage of $9.0\text{ V}$

Cevap

The

24\text{ V}

fan at

120\text{ }\Omega

matches

0.20\text{ A}

; the

48\text{ V}

beacon at

16\text{ mA}

matches

3.0\text{ k}\Omega

; the

15\text{ V}

heater drawing

2.5\text{ A}

matches

6.0\text{ }\Omega

; and the

50\text{ mA}

indicator across

180\text{ }\Omega

matches

9.0\text{ V}

Each match correctly applies the appropriate algebraic variation of Ohm's law (

V = I \times R

I = \frac{V}{R}

, or

R = \frac{V}{I}

) while properly converting metric units (

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

and

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

Adım Adım Çözüm

Calculate the current for the cooling fan circuit

I = \frac{V}{R} = \frac{24\text{ V}}{120\text{ }\Omega} = 0.20\text{ A}

Ohm's law defines current as voltage divided by resistance.

Calculate the resistance for the remote sensor beacon

R = \frac{V}{I} = \frac{48\text{ V}}{0.016\text{ A}} = 3000\text{ }\Omega = 3.0\text{ k}\Omega

Convert milliamperes to amperes (

16\text{ mA} = 0.016\text{ A}

) and solve for resistance by dividing voltage by current.

Calculate the resistance for the environmental heating strip

R = \frac{V}{I} = \frac{15\text{ V}}{2.5\text{ A}} = 6.0\text{ }\Omega

Ohm's law defines resistance as voltage divided by current.

Calculate the voltage for the backup LED indicator branch

V = I \times R = 0.050\text{ A} \times 180\text{ }\Omega = 9.0\text{ V}

Convert milliamperes to amperes (

50\text{ mA} = 0.050\text{ A}

) and calculate voltage by multiplying current by resistance.

Anahtar Kavram

Ohm's Law states the fundamental relationship between voltage, current, and resistance in a direct current circuit:

V = I \times R

I = \frac{V}{R}

, and

R = \frac{V}{I}

Tahmini Süre:1m 15s

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