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Zorluk: OrtaOhm's Law Calculations and Concepts

An avionics technician tests a 72 V72\text{ V} direct current (DC) instrument circuit. If the circuit's total resistance is measured at 1.2 kΩ1.2\text{ k}\Omega, what is the current flowing through the circuit?

  1. A
    16.7 mA16.7\text{ mA}
  2. 60 mA60\text{ mA}Cevap
  3. C
    60 A60\text{ A}
  4. D
    86.4 A86.4\text{ A}

Cevap

60 mA60\text{ mA}
According to Ohm's law, current equals voltage divided by resistance (I=V/RI = V / R). Converting 1.2 kΩ1.2\text{ k}\Omega to base units gives 1200 Ω1200\text{ }\Omega. Dividing 72 V72\text{ V} by 1200 Ω1200\text{ }\Omega produces 0.06 A0.06\text{ A}, which is equivalent to 60 mA60\text{ mA}.

Adım Adım Çözüm

1
Convert the given resistance from kilo-ohms to base ohms
R=1.2 kΩ=1.2×103 Ω=1200 ΩR = 1.2\text{ k}\Omega = 1.2 \times 10^3\text{ }\Omega = 1200\text{ }\Omega
Standard electrical calculations using Ohm's law require values to be expressed in SI base units (volts, amperes, and ohms).
2
Apply Ohm's law formula to solve for current (II)
I=VR=72 V1200 Ω=0.06 AI = \frac{V}{R} = \frac{72\text{ V}}{1200\text{ }\Omega} = 0.06\text{ A}
Current is directly proportional to voltage and inversely proportional to resistance.
3
Convert the current from amperes to milliamperes
I=0.06 A×1000 mA/A=60 mAI = 0.06\text{ A} \times 1000\text{ mA/A} = 60\text{ mA}
Expressing the small current value in milliamperes matches standard electronic measurement conventions.

Anahtar Kavram

Ohm's Law Current Calculation (I=VRI = \frac{V}{R}) with Metric Prefix Conversion

Alternatif Yöntem

Convert the calculation directly using milliamperes: 1 V/1 kΩ=1 mA1\text{ V} / 1\text{ k}\Omega = 1\text{ mA}. Therefore, 72 V/1.2 kΩ=60 mA72\text{ V} / 1.2\text{ k}\Omega = 60\text{ mA}.
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