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In a parallel RLC circuit, if the resistance is 10Ω, inductance is 0.2H, and cap

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Question: In a parallel RLC circuit, if the resistance is 10Ω, inductance is 0.2H, and capacitance is 50μF, what is the total current at resonance? (2022)

Options:

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

Correct Answer: 1A

Exam Year: 2022

Solution: 

At resonance, total current I = V/R. Calculate using V = 10V.

In a parallel RLC circuit, if the resistance is 10Ω, inductance is 0.2H, and cap

Practice Questions

Q1
In a parallel RLC circuit, if the resistance is 10Ω, inductance is 0.2H, and capacitance is 50μF, what is the total current at resonance? (2022)
  1. 0.5A
  2. 1A
  3. 2A
  4. 4A

Questions & Step-by-Step Solutions

In a parallel RLC circuit, if the resistance is 10Ω, inductance is 0.2H, and capacitance is 50μF, what is the total current at resonance? (2022)
  • Step 1: Understand that in a parallel RLC circuit at resonance, the total current can be calculated using the formula I = V/R.
  • Step 2: Identify the values given in the question: Resistance (R) = 10Ω and Voltage (V) = 10V.
  • Step 3: Substitute the values into the formula: I = 10V / 10Ω.
  • Step 4: Perform the calculation: I = 1A.
  • Step 5: Conclude that the total current at resonance is 1A.
  • Resonance in RLC Circuits – At resonance, the inductive and capacitive reactances cancel each other out, resulting in the circuit behaving purely resistively.
  • Ohm's Law – The relationship between voltage, current, and resistance, expressed as I = V/R.
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