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Zorluk: ZorOhm's Law Calculations and Concepts

Match each circuit operating scenario on the left with its corresponding calculated electrical quantity on the right by applying Ohm's law and metric unit conversions.

  • A 24 V24\text{ V} DC relay coil with a winding resistance of 480 Ω480\ \Omega (Determine the current)50 mA50\text{ mA}
  • An aircraft cockpit indicator operating at 28 V28\text{ V} that draws 350 mA350\text{ mA} (Determine the resistance)80 Ω80\ \Omega
  • A diagnostic probe drawing 40 μA40\ \mu\text{A} through a 2.5 MΩ2.5\text{ M}\Omega internal resistor (Determine the voltage drop)100 V100\text{ V}
  • An automotive control module with a 2.4 kΩ2.4\text{ k}\Omega load connected across 12 V12\text{ V} (Determine the current)5 mA5\text{ mA}

Cevap

The relay coil matches 50 mA50\text{ mA}, the cockpit indicator matches 80 Ω80\ \Omega, the diagnostic probe matches 100 V100\text{ V}, and the automotive control module matches 5 mA5\text{ mA}.
Each scenario correctly applies the relevant permutation of Ohm's law (V=IRV=IR, I=V/RI=V/R, or R=V/IR=V/I) following proper metric prefix conversion to base electrical units.

Adım Adım Çözüm

1
Calculate the current for the relay coil
I=24 V480 Ω=0.05 A=50 mAI = \frac{24\text{ V}}{480\ \Omega} = 0.05\text{ A} = 50\text{ mA}
Apply I=VRI = \frac{V}{R} directly and convert amperes to milliamperes by multiplying by 10001000.
2
Calculate the resistance for the aircraft indicator
R=28 V0.35 A=80 ΩR = \frac{28\text{ V}}{0.35\text{ A}} = 80\ \Omega
Convert 350 mA350\text{ mA} to base units (0.35 A0.35\text{ A}) and rearrange Ohm's law to R=VIR = \frac{V}{I}.
3
Calculate the voltage drop across the diagnostic probe
V=(40×10−6 A)×(2.5×106 Ω)=100 VV = (40 \times 10^{-6}\text{ A}) \times (2.5 \times 10^{6}\ \Omega) = 100\text{ V}
Convert microamperes (10−610^{-6}) and megaohms (10610^{6}) to standard base units and compute V=I×RV = I \times R.
4
Calculate the current for the automotive control module
I=12 V2400 Ω=0.005 A=5 mAI = \frac{12\text{ V}}{2400\ \Omega} = 0.005\text{ A} = 5\text{ mA}
Convert 2.4 kΩ2.4\text{ k}\Omega to 2400 Ω2400\ \Omega, compute I=VRI = \frac{V}{R}, and express the result in milliamperes.

Anahtar Kavram

Ohm's Law calculations relating voltage (VV), current (II), and resistance (RR), integrated with metric prefix conversions.
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