In an RLC series circuit at resonance, the A.C. voltage across Resistance , Inductance , and Capacitance are 5 V, 10 V, and 10 V respectively. The A.C. voltage applied to the circuit will be:
Correct answer: C. 5 V
- A. 20 V
- B. 10 V
- C. 5 V
- D. 25 V
Explanation
Here is the correct answer with a clean, brief theoretical explanation: Answer: 5 V Brief explanation ; In a series RLC circuit at resonance: Inductive reactance = Capacitive reactance XL = XC Therefore, the voltages across L and C are equal in magnitude but opposite in phase (180° out of phase). VL and VC cancel each other out The net reactive voltage = 0. Hence, the applied A.C. voltage equals only the voltage across the resistor: Vapplied = VR = 5V So the supply sees only the resistive drop at resonance, giving an applied voltage of 5 V.
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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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