In a series RLC resonance circuit, at resonance the current drawn by the circuit is _____________.

The correct answer is option 4): (maximum)

Concept:

For a series RLC circuit,

the net impedance is given by:

Z = R + j (X_L - X_C)

X_L = Inductive Reactance given by:

X_L = ωL

X_C = Capacitive Reactance given by:

X_C = \( 1\over ωC\)

The magnitude of the impedance is given by: |Z|= \(\sqrt{R^2+(X_L−X_C)^2}\)

The current flowing across the series RLC circuit will be:

I = V / |Z|

At resonance

 XL = XC, resulting in the net impedance being minimum.

This eventually results in the flow of maximum current. The plot of the frequency response of the series circuit is shown in the figure:

We observe that at resonant frequency ω₀, the current is maximum.