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Difficulty: MediumOhm's Law

A telemetry sensor on an unmanned aerial vehicle is connected to a 15 V15\text{ V} direct-current (DC) power supply. If the sensor circuit has an effective resistance of 2.5 kΩ2.5\text{ k}\Omega, what is the steady current flowing through the circuit in milliamperes (mA\text{mA})?

  1. A
    37.5 mA37.5\text{ mA}
  2. 6 mA6\text{ mA}Answer
  3. C
    60 mA60\text{ mA}
  4. D
    167 mA167\text{ mA}

Answer

The steady current flowing through the sensor circuit is 6 mA6\text{ mA}.
According to Ohm's Law, current equals voltage divided by resistance (I=VRI = \frac{V}{R}). Converting 2.5 kΩ2.5\text{ k}\Omega to 2500 Ω2{}500\ \Omega gives I=15 V2500 Ω=0.006 AI = \frac{15\text{ V}}{2{}500\ \Omega} = 0.006\text{ A}, which equals 6 mA6\text{ mA}.

Step-by-Step Solution

1
Convert the resistance value from kilohms (kΩ\text{k}\Omega) to base ohms (Ω\Omega).
R=2.5 kΩ=2.5×103 Ω=2500 ΩR = 2.5\text{ k}\Omega = 2.5 \times 10^3\ \Omega = 2{}500\ \Omega
Ohm's Law calculations require base electrical units (volts, amperes, and ohms).
2
Apply Ohm's Law to solve for current in amperes (I=VRI = \frac{V}{R}).
I=15 V2500 Ω=0.006 AI = \frac{15\text{ V}}{2{}500\ \Omega} = 0.006\text{ A}
Current is directly proportional to voltage and inversely proportional to resistance.
3
Convert the resulting current from amperes (A\text{A}) to milliamperes (mA\text{mA}).
I=0.006 A×1000 mA/A=6 mAI = 0.006\text{ A} \times 1{}000\text{ mA/A} = 6\text{ mA}
The question asks for the final answer in milliamperes.

Key Concept

Ohm's Law defines the relationship between voltage, current, and resistance (I=VRI = \frac{V}{R}).
Estimated Time:45s
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Topics

Ohm's Law

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