CSLB C-10 Electrical ContractorElectrical Theory and CalculationsEasy

An electrician is troubleshooting a control circuit that has a 24V supply. If a relay coil in the circuit draws 50 mA of current, what is the resistance of the relay coil?

  1. A480 ohms
  2. B4.8 ohms
  3. C48 ohms
  4. D4800 ohms
Show answer & explanation

Correct answer: A. 480 ohms

Using Ohm's Law (R = V/I), first convert the current from milliamperes to amperes, then divide the voltage by the current to find the resistance.

Why the other options are wrong

  • B. This is a calculation error, possibly not converting mA to A correctly.
  • C. This is a calculation error, likely off by a factor of 10.
  • D. This is a calculation error, likely off by a factor of 10.

Ohm's Law (Resistance Calculation)

Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points. Resistance (R) is calculated by dividing voltage (V) by current (I).

  • Formula: R = V / I.
  • Units: Resistance in Ohms (Ω), Voltage in Volts (V), Current in Amperes (A).
  • Always ensure current is in Amperes before calculation.

Memory trick: V over I times R, V over I times R, V over I times R. That's Ohm's Law for me!

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