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In a circuit with a 50Ω resistor and a 100V AC source, what is the RMS current?

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Question: In a circuit with a 50Ω resistor and a 100V AC source, what is the RMS current?

Options:

  1. 1A
  2. 2A
  3. 0.5A
  4. 0.25A

Correct Answer: 2A

Solution: 

The RMS current (I_rms) is calculated using I_rms = V_rms / R. Thus, I_rms = 100V / 50Ω = 2A.

In a circuit with a 50Ω resistor and a 100V AC source, what is the RMS current?

Practice Questions

Q1
In a circuit with a 50Ω resistor and a 100V AC source, what is the RMS current?
  1. 1A
  2. 2A
  3. 0.5A
  4. 0.25A

Questions & Step-by-Step Solutions

In a circuit with a 50Ω resistor and a 100V AC source, what is the RMS current?
  • Step 1: Identify the voltage of the AC source. In this case, it is 100V.
  • Step 2: Identify the resistance in the circuit. Here, it is 50Ω.
  • Step 3: Understand that RMS current (I_rms) can be calculated using the formula: I_rms = V_rms / R.
  • Step 4: Substitute the values into the formula: I_rms = 100V / 50Ω.
  • Step 5: Perform the division: 100 divided by 50 equals 2.
  • Step 6: Conclude that the RMS current is 2A.
  • Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, expressed as I = V/R.
  • RMS Values – Root Mean Square (RMS) values are used for AC circuits to represent the effective value of an alternating current or voltage.
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