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For a series RLC circuit the power loss at resonance is:

Correct answer: C. I²R

  • A. V²/ωL
  • B. I²Lω
  • C. I²R
  • D. V²/ωC

Explanation

In a series RLC circuit at resonance, the inductive and capacitive reactances cancel each other out, leaving only the resistance to determine the impedance. Therefore, the power loss at resonance is purely due to the resistance, and is calculated using the formula I2R. Option A and D involve inductance and capacitance, which are not relevant at resonance. Option B includes inductive reactance, which is not a factor in power loss at resonance.

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About Alternating Current

Alternating current varies periodically, so phase relationships become essential when current passes through a resistor, capacitor or inductor. The chapter distinguishes resistance from capacitive and inductive reactance, explains phase lead and lag, and connects changing electric and magnetic fields with the production and properties of electromagnetic waves.

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