A technician connects a 24\text{ V} direct current (DC) power source across an auxiliary h… — Armed Services Vocational Aptitude Battery (ASVAB)

A technician connects a $24\text{ V}$ direct current (DC) power source across an auxiliary heating element with a measured resistance of $8\text{ }\Omega$ . What is the amount of current flowing through the heating element?

A
$192\text{ A}$
B
$0.33\text{ A}$
$3\text{ A}$ Answer
D
$24\text{ A}$

Answer

3\text{ A}

According to Ohm's law, current (

I

) is calculated by dividing voltage (

V

) by resistance (

R

). For a

24\text{ V}

supply connected across an

8\text{ }\Omega

load, the calculation is

I = \frac{24\text{ V}}{8\text{ }\Omega} = 3\text{ A}

Step-by-Step Solution

Identify the given values from the problem statement.

Voltage (

V

) =

24\text{ V}

, Resistance (

R

) =

8\text{ }\Omega

Ohm's law relates voltage, current, and resistance in a DC circuit.

Select the appropriate form of Ohm's law to solve for current (

I

I = \frac{V}{R}

Current is directly proportional to voltage and inversely proportional to resistance.

Substitute the known values into the equation and compute the result.

I = \frac{24\text{ V}}{8\text{ }\Omega} = 3\text{ A}

Dividing

24

8

gives the circuit current in amperes.

Key Concept

Ohm's Law relationship between voltage, current, and resistance (

I = \frac{V}{R}

)

Estimated Time:45s

Question

Answer

Step-by-Step Solution

Key Concept

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