What is the full load current for a 5 ohm, 20 watt resistor?

Prepare for the MTA Transit Electrical Helper Exam with flashcards and multiple-choice questions. Hints and explanations accompany each question. Get ready for your exam!

To find the full load current for a 5 ohm, 20 watt resistor, you can use the relationship between power (P), voltage (V), and current (I) in electrical circuits. The formulas that are relevant here are:

  1. Power (P) = Voltage (V) × Current (I)
  1. Ohm's Law: Voltage (V) = Current (I) × Resistance (R)

From the first formula, we can express current in terms of power and voltage:

I = P / V

Since P = I² × R according to the rearrangement of the second formula, we can substitute to find current directly:

I² = P / R

Thus, to find the current, you can rearrange it as:

I = √(P / R)

Now plug in the values for power and resistance:

  1. Power (P) = 20 watts

  2. Resistance (R) = 5 ohms

Calculating the current:

I = √(20 / 5)

I = √(4)

I = 2 amperes

This means that the full load current for this 5 ohm, 20 watt resistor is indeed 2 amperes. This matches the

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