Why does a series LCR circuit conneted to a DC source register zero current?

Statement I: A series LCR circuit when connected to an ac source gives the terminal potential difference 50 V across each of resistor R, inductor L and capacitor C. Then the terminal potential difference across LC is zero. Statement II: The terminal alternating voltages across the inductor and capacitor in a series LCR circuit are in opposite phase.

In a series LCR circuit connected to an ac source of voltage v=v_msinomegat , use phasor diagram to derive an expression for the current in the circuit. Hence obtain the expression for the power dissipated in the circuit.Show that power dissipated at resonance is maximum.

A series LCR circuit acts as a purely resistive circuit, when

A series LCR circuit acts as a purely resistive circuit, when

If an LCR circuit is connected to a dc source , what will be the current through the circuit?

A series LCR circuit is connected to a variable frequency 230 V source , L=5.0 H, C=80muF,R=40Omega Obtain impedance of the circuit and aplitude of current at resonance.

A series LCR circuit is connected to a variable frequency 230 V source , L=5.0 H, C=80muF,R=40Omega Determine the source frequency for which resonance occurs in the circuit.

A series LCR circuit is connected to a variable frequency 230 V source , L=5.0 H, C=80muF,R=40Omega Determine the rms potential drop across L and C. Show that at resonance the potential drop across LC combination is zero.

When an ideal choke is connected to an ac source of 100V and 50Hz, a current of 8 A flows through the circuit, A current of 10 A flows throught the circuit when a pure resistor is connected instead of the choke coil. IF the two are connected in series with an ac supply of 100 V and 40 Hz, then the current in the circuit is