Imaging using an alternating current circuit with a resistor R, an inductor L ,

Question

Imaging using an alternating current circuit with a resistor R, an inductor L , and a capacitor C in series. The voltage from the source is V= V_max sin with the V_max held fixed and the frequency adjustable. Which of the following statements is correct? When the frequencies are high, the voltage across the inductor is greater than the voltage across the capacitor. When the frequencies are low, the voltage across the inductor is greater than the voltage across the capacitor. The voltage across the inductor is equal to the voltage across the capacitor.

Explanation / Answer

Volatge across Capacitor Vc = i XC

where Xc is Capacitve reactance = 1/2pifC

so Vc and f are inversly related

also

Volatge across Indcutor VL = i XL

where XL is inductive reactance = 2pif L

so

VL and f are directly related

so lower frequencies givec low Volatge acriss indcutor and high volatge across capcitor

and

higher frequencies gives high Volatge acriss indcutor and low volatge across capcitor

so option A suits best here

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