A marine communications transceiver utilizes a direct current (DC) bias network. A voltmet… — Armed Services Vocational Aptitude Battery (ASVAB)

A marine communications transceiver utilizes a direct current (DC) bias network. A voltmeter connected across a fixed $2.5\text{ k}\Omega$ resistor measures a steady voltage drop of $15\text{ V}$ . What is the current flowing through this resistor?

A
$37.5\text{ mA}$
B
$167\text{ mA}$
$6\text{ mA}$ Answer
D
$0.6\text{ mA}$

Answer

The current flowing through the resistor is

6\text{ mA}

According to Ohm's law, current equals voltage divided by resistance (

I = V / R

). Dividing

15\text{ V}

2.5\text{ k}\Omega

(

2500\text{ }\Omega

) yields

0.006\text{ A}

, which converts directly to

6\text{ mA}

Step-by-Step Solution

Convert the given resistance from kilo-ohms to fundamental SI units (ohms).

R = 2.5\text{ k}\Omega = 2.5 \times 10^3\text{ }\Omega = 2500\text{ }\Omega

Standard calculations in Ohm's law require values in fundamental units (volts, amperes, ohms).

Apply Ohm's law formula to solve for current (

I = V / R

I = \frac{15\text{ V}}{2500\text{ }\Omega} = 0.006\text{ A}

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

Convert the resulting current from amperes to milliamperes.

0.006\text{ A} = 0.006 \times 1000\text{ mA} = 6\text{ mA}

Matching the standard unit formatting in electronic measurement options.

Key Concept

Ohm's Law expresses the fundamental relationship between voltage, current, and resistance in a DC circuit (

I = V / R

Estimated Time:1m 0s

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