Answer :

No, current will flow through both of them.

At resonance, we know that XL = XC … (i), where XL = inductive reactance, XC = capacitive reactance, ω = angular frequency, L = inductance, C = capacitance

Current through an LCR circuit is given by … (ii), where i0 = peak value of current, V0 = peak value of voltage, R = resistance, ω = angular frequency, L = inductance, C = capacitance

From (i) and (ii), at resonance, the peak value of current is given by … (iii)

This current will flow through all circuit elements. However, since the inductive reactance and the capacitive reactance are equal, the potential difference across the inductor and capacitor will be equal and opposite and they will cancel each other out. (Ans)

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