A marine communication device is connected to a 12\text{ V} direct current (DC) power sour… — Armed Services Vocational Aptitude Battery (ASVAB)

A marine communication device is connected to a $12\text{ V}$ direct current (DC) power source. If the circuit has a total resistance of $4\text{ }\Omega$ , what is the current flowing through the circuit in amperes ( $\text{A}$ )?

Answer: 3 A

Answer

The current flowing through the circuit is

3\text{ A}

According to Ohm's law (

I = \frac{V}{R}

), the current in a direct current circuit is calculated by dividing the total voltage by the total circuit resistance. With a voltage of

12\text{ V}

across a resistance of

4\text{ }\Omega

, the current is

\frac{12\text{ V}}{4\text{ }\Omega} = 3\text{ A}

Step-by-Step Solution

Identify the given circuit parameters.

Voltage

V = 12\text{ V}

and resistance

R = 4\text{ }\Omega

Extracting the known quantities is necessary before applying the formula.

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

I = \frac{V}{R}

Ohm's law defines current as the ratio of electromotive force (voltage) to resistance.

Perform the division.

I = \frac{12}{4} = 3\text{ A}

Dividing

12\text{ V}

4\text{ }\Omega

computes the total current.

Key Concept

Ohm's law mathematical relationship where current is directly proportional to voltage and inversely proportional to resistance (

I = V / R

Estimated Time:45s

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