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# In a series R-L-C circuit at resonance, the voltages across the resistor and the

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**In a series R-L-C circuit at resonance, the voltages across the resistor and the inductor are 20V and 40V respectively. What is the voltage across the capacitor?**

**A. 30 V**

**B. 70 V**

**C. 50 V**

**D. 40 V**

**QUICK ANSWER…**

**D**

**EXPLANATION…**

**At resonance, the reactance of the capacitor is exactly the same as the reactance of the inductor. This means that the resistance to AC current offered by the inductor is the same as that offered by the capacitor, and because the both are in series, it also follows that the same current flows through them. This implies that the same quantity of voltage must be existing between the inductor and the capacitor, provided they are at resonance, and also in series.**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is incorrect.****C is incorrect.****D is the correct answer. The same value for the inductor.**

**HELPFUL TIPS…**

**You may please note these/this:**

**Always remember that the ultimate condition for resonance in an RLC circuit is equality in the reactance (measured in ohms) of both the capacitor and inductor. The value of the resistance of the resistor does not matter.**

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**/ culled from 2018 JAMB-UTME physics question 25 /**